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Worksheets

EE terms 2

Total questions: 70

Worksheet time: 35mins

Name
Class
Date
1.

“The sum of the currents into a junction equals the sum of the currents out of the junction” is a consequence of:

a)

Newton’s third law

b)

Ohm’s law

c)

conservation of energy

d)

conservation of charge

2.

“The sum of the emf’s and potential differences around a closed loop equals zero” is a consequence of:

a)

Newton’s third law

b)

Ohm’s law

c)

conservation of energy

d)

conservation of charge

3.

Four wires meet at a junction. The first carries 4 A into the junction, the second carries 5 A out of the junction, and the third carries 2 A out of the junction. The fourth carries:

a)

7 A out of the junction

b)

7 A into the junction

c)

3 A out of the junction

d)

3 A into the junction

4.

In the context of the loop and junctions rules for electrical circuits a junction is:

a)

where a wire is connected to a resistor

b)

where a wire is connected to a battery

c)

where only two wires are joined

d)

where three or more wires are joined

5.

For any circuit the number of independent equations containing emf’s, resistances, and currents equals:

a)

the number of junctions

b)

the number of junctions minus 1

c)

the number of branches

d)

the number of branches minus 1

6.

If a circuit has L closed loops, B branches, and J junctions the number of independent loop equations is:

a)

B − J + 1

b)

B − J

c)

B

d)

L

7.

A battery is connected across a series combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

a)

the potential difference across each resistor is V and the current in each resistor is i

b)

the potential difference across each resistor is V /2 and the current in each resistor is i/2

c)

the potential difference across each resistor is V and the current in each resistor is i/2

d)

the potential difference across each resistor is V /2 and the current in each resistor is i

8.

A battery is connected across a parallel combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

a)

the potential difference across each resistor is V and the current in each resistor is i

b)

the potential difference across each resistor is V /2 and the current in each resistor is i/2

c)

the potential difference across each resistor is V and the current in each resistor is i/2

d)

the potential difference across each resistor is V /2 and the current in each resistor is i

9.

A total resistance of 3.0 Ω is to be produced by combining an unknown resistor R with a 12 Ω resistor. What is the value of R and how is it to be connected to the 12 Ω resistor?

a)

4.0 Ω, parallel

b)

4.0 Ω, series

c)

2.4 Ω, parallel

d)

2.4 Ω, series

10.

By using only two resistors, R1 and R2, a student is able to obtain resistances of 3 Ω, 4 Ω, 12 Ω, and 16 Ω. The values of R1 and R2 (in ohms) are:

a)

3,4

b)

2, 12

c)

3, 16

d)

4, 12

11.

Four 20-Ω resistors are connected in parallel and the combination is connected to a 20-V emf device. The current in the device is:

a)

0.25 A

b)

1.0 A

c)

4.0 A

d)

5.0 A

12.

Four 20-Ω resistors are connected in parallel and the combination is connected to a 20-V emf device. The current in any one of the resistors is:

a)

0.25 A

b)

1.0 A

c)

4.0 A

d)

5.0 A

13.

Four 20-Ω resistors are connected in series and the combination is connected to a 20-V emf device. The current in any one of the resistors is:

a)

0.25 A

b)

1.0 A

c)

4.0 A

d)

5.0 A

14.

Four 20-Ω resistors are connected in series and the combination is connected to a 20-V emf device. The potential difference across any one of the resistors is:

a)

1 V

b)

4 V

c)

5 V

d)

20 V

15.

Nine identical wires, each of diameter d and length L, are connected in parallel. The combination has the same resistance as a single similar wire of length L but whose diameter is:

a)

3d

b)

9d

c)

d/3

d)

d/9

16.

Nine identical wires, each of diameter d and length L, are connected in series. The combination has the same resistance as a single similar wire of length L but whose diameter is:

a)

3d

b)

9d

c)

d/3

d)

d/9

17.

Two wires made of the same material have the same lengths but different diameters. They are connected in parallel to a battery. The quantity that is NOT the same for the wires is:

a)

the end-to-end potential difference

b)

the current

c)

the current density

d)

the electric field

18.

Two wires made of the same material have the same lengths but different diameters. They are connected in series to a battery. The quantity that is the same for the wires is:

a)

the end-to-end potential difference

b)

the current

c)

the current density

d)

the electric field

19.

The resistance of resistor 1 is twice the resistance of resistor 2. The two are connected in parallel and a potential difference is maintained across the combination. Then:

a)

the current in 1 is twice that in 2

b)

the current in 1 is half that in 2

c)

the potential difference across 1 is twice that across 2

d)

the potential difference across 1 is half that across 2

20.

The resistance of resistor 1 is twice the resistance of resistor 2. The two are connected in series and a potential difference is maintained across the combination. Then:

a)

the current in 1 is twice that in 2

b)

the current in 1 is half that in 2

c)

the potential difference across 1 is twice that across 2

d)

the potential difference across 1 is half that across 2

21.

Resistor 1 has twice the resistance of resistor 2. The two are connected in series and a potential difference is maintained across the combination. The rate of thermal energy generation in 1 is:

a)

the same as that in 2

b)

twice that in 2

c)

half that in 2

d)

four times that in 2

22.

Resistor 1 has twice the resistance of resistor 2. The two are connected in parallel and a potential difference is maintained across the combination. The rate of thermal energy generation in 1 is:

a)

the same as that in 2

b)

twice that in 2

c)

half that in 2

d)

four times that in 2

23.

The emf of a battery is equal to its terminal potential difference:

a)

under all conditions

b)

only when the battery is being charged

c)

only when a large current is in the battery

d)

only when there is no current in the battery

24.

The terminal potential difference of a battery is less than its emf:

a)

under all conditions

b)

only when the battery is being charged

c)

only when the battery is being discharged

d)

only when there is no current in the battery

25.

A battery has an emf of 9 V and an internal resistance of 2 Ω. If the potential difference across its terminals is greater than 9 V:

a)

it must be connected across a large external resistance

b)

it must be connected across a small external resistance

c)

the current must be out of the positive terminal

d)

the current must be out of the negative terminal

26.

A battery with an emf of 24 V is connected to a 6-Ω resistor. As a result, current of 3 A exists in the resistor. The terminal potential difference of the battery is:

a)

0

b)

6 V

c)

12 V

d)

18 V

27.

Resistances of 2.0 Ω, 4.0 Ω, and 6.0 Ω and a 24-V emf device are all in parallel. The current in the 2.0-Ω resistor is:

a)

12 A

b)

4.0 A

c)

2.4 A

d)

2.0 A

28.

Resistances of 2.0 Ω, 4.0 Ω, and 6.0 Ω and a 24-V emf device are all in series. The potential difference across the 2.0-Ω resistor is:

a)

4 V

b)

8 V

c)

12 V

d)

24 V

29.

A battery with an emf of 12 V and an internal resistance of 1 Ω is used to charge a battery with an emf of 10 V and an internal resistance of 1 Ω. The current in the circuit is:

a)

1 A

b)

2 A

c)

4 A

d)

11 A

30.

A 3-Ω and a 1.5-Ω resistor are wired in parallel and the combination is wired in series to a 4-Ω resistor and a 10-V emf device. The current in the 3-Ω resistor is:

a)

0.33 A

b)

0.67 A

c)

2.0 A

d)

3.3 A

31.

A 3-Ω and a 1.5-Ω resistor are wired in parallel and the combination is wired in series to a 4-Ω resistor and a 10-V emf device. The potential difference across the 3-Ω resistor is:

a)

2.0 V

b)

6.0 V

c)

8.0 V

d)

10 V

32.

Two identical batteries, each with an emf of 18 V and an internal resistance of 1 Ω, are wired in parallel by connecting their positive terminals together and connecting their negative terminals together. The combination is then wired across a 4-Ω resistor. The current in the 4-Ω resistor is:

a)

1.0 A

b)

2.0 A

c)

4.0 A

d)

3.6 A

33.

Two identical batteries, each with an emf of 18 V and an internal resistance of 1 Ω, are wired in parallel by connecting their positive terminals together and connecting their negative terminals together. The combination is then wired across a 4-Ω resistor. The current in each battery is:

a)

1.0 A

b)

2.0 A

c)

4.0 A

d)

3.6 A

34.

Two identical batteries, each with an emf of 18 V and an internal resistance of 1 Ω, are wired in parallel by connecting their positive terminals together and connecting their negative terminals together. The combination is then wired across a 4-Ω resistor. The potential difference across the 4-Ω resistor is:

a)

4.0 V

b)

8.0 V

c)

14 V

d)

16 V

35.

A 120-V power line is protected by a 15-A fuse. What is the maximum number of “120 V, 500W” light bulbs that can be operated at full brightness from this line?

a)

1

b)

2

c)

3

d)

4

36.

Two 110-V light bulbs, one “25W” and the other “100W”, are connected in series to a 110 V source. Then:

a)

the current in the 100-W bulb is greater than that in the 25-W bulb

b)

the current in the 100-W bulb is less than that in the 25-W bulb

c)

both bulbs will light with equal brightness

d)

none of the above

37.

A resistor with resistance R1 and a resistor with resistance R2 are connected in parallel to an ideal battery with emf E. The rate of thermal energy generation in the resistor with resistance R1 is:

a)

ϵ2\epsilon^2  / R1R_1  

b)

ϵ2R1\epsilon^2R_1  / (R1+R2)2(R1+R2)^2  

c)

ϵ2\epsilon^2  / (R1+R2)(R1+R2)  

d)

ϵ2\epsilon^2  / R2R_2  

38.

In an antique automobile, a 6-V battery supplies a total of 48W to two identical headlights in parallel. The resistance (in ohms) of each bulb is:

a)

0.67

b)

1.5

c)

3

d)

4

39.

Resistor 1 has twice the resistance of resistor 2. They are connected in parallel to a battery. The ratio of the thermal energy generation rate in 1 to that in 2 is:

a)

1 : 4

b)

1 : 2

c)

1 : 1

d)

2 : 1

40.

A series circuit consists of a battery with internal resistance r and an external resistor R. If these two resistances are equal (r = R) then the thermal energy generated per unit time by the internal resistance r is:

a)

the same as by R

b)

half that by R

c)

twice that by R

d)

one-third that by R

41.

The positive terminals of two batteries with emf’s of ϵ1\epsilon_1   and ϵ2\epsilon_2  , respectively, are connected together. Here ϵ2>ϵ1\epsilon_2>\epsilon_1  . The circuit is completed by connecting the negative terminals. If each battery has an internal resistance r, the rate with which electrical energy is converted to chemical energy in the smaller battery is:

a)

ϵ12\epsilon_1^2  /r

b)

ϵ12\epsilon_1^2  /2r

c)

(ϵ2ϵ1)\left(\epsilon_2-\epsilon_1\right)  / ϵ1\epsilon_1  /r

d)

(ϵ2ϵ1)\left(\epsilon_2-\epsilon_1\right)  / ϵ1\epsilon_1  /2r

42.

A certain galvanometer has a resistance of 100 Ω and requires 1 mA for full scale deflection. To make this into a voltmeter reading 1 V full scale, connect a resistance of:

a)

1000 Ω in parallel

b)

900 Ω in series

c)

1000 Ω in series

d)

10 Ω in parallel

43.

To make a galvanometer into an ammeter, connect:

a)

a high resistance in parallel

b)

a high resistance in series

c)

a low resistance in series

d)

a low resistance in parallel

44.

A certain voltmeter has an internal resistance of 10, 000 Ω and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

a)

100, 000 Ω in series

b)

100, 000 Ω in parallel

c)

1000 Ω in series

d)

90, 000 Ω in series

45.

A certain ammeter has an internal resistance of 1 Ω and a range from 0 to 50 mA. To make its range from 0 to 5 A, use:

a)

a series resistance of 99 Ω

b)

a resistance of 99 Ω in parallel

c)

a resistance of 1/99 Ω in parallel

d)

a resistance of 1/1000 Ω in parallel

46.

A galvanometer has an internal resistance of 12 Ω and requires 0.01 A for full scale deflection. To convert it to a voltmeter reading 3 V full scale, one must use a series resistance of:

a)

102 Ω

b)

288 Ω

c)

300 Ω

d)

360 Ω

47.

A certain voltmeter has an internal resistance of 10, 000 Ω and a range from 0 to 12 V. To extend its range to 120 V, use a series resistance of:

a)

1, 111 Ω

b)

90, 000 Ω

c)

100, 000 Ω

d)

108, 000 Ω

48.

The time constant RC has units of:

a)

second/farad

b)

second/ohm

c)

second/watt

d)

none of these

49.

A charged capacitor is being discharged through a resistor. At the end of one time constant the charge has been reduced by (1 − 1/e) = 63% of its initial value. At the end of two time constants the charge has been reduced by what percent of its initial value?

a)

82%

b)

86%

c)

100%

d)

Between 90% and 100%

50.

An initially uncharged capacitor C is connected in series with resistor R. This combination is then connected to a battery of emf V0. Sufficient time elapses so that a steady state is reached. Which of the following statements is NOT true?

a)

The time constant is independent of V0V_0  

b)

The final charge on C is independent of R

c)

The total thermal energy generated by R is independent of R

d)

The initial current (just after the battery was connected) is independent of C

51.

A certain capacitor, in series with a resistor, is being charged. At the end of 10 ms its charge is half the final value. The time constant for the process is about:

a)

0.43 ms

b)

2.3 ms

c)

6.9 ms

d)

14 ms

52.

A certain capacitor, in series with a 720-Ω resistor, is being charged. At the end of 10 ms its charge is half the final value. The capacitance is about:

a)

9.6 µF

b)

14 µF

c)

20 µF

d)

7.2 F

53.

In the capacitor discharge formula q = q0e−t/RC the symbol t represents:

a)

the time constant

b)

the time it takes for C to lose the fraction 1/e of its initial charge

c)

the time it takes for C to lose the fraction (1 − 1/e) of its initial charge

d)

none of the above

54.

Units of a magnetic field might be:

a)

C·m/s

b)

C·s/m

c)

C/kg

d)

kg/C·s

55.

In the formula F\overrightarrow{F}qvq\overrightarrow{v}  x B\overrightarrow{B}   :

a)

F\overrightarrow{F}   must be perpendicular to v\overrightarrow{v}   but not necessarily to B\overrightarrow{B}  

b)

F\overrightarrow{F} must be perpendicular to B\overrightarrow{B} but not necessarily to v\overrightarrow{v}

c)

all three vectors must be mutually perpendicular

d)

F\overrightarrow{F} must be perpendicular to both v\overrightarrow{v} and B\overrightarrow{B}

56.

At any point the magnetic field lines are in the direction of:

a)

the magnetic force on a moving positive charge

b)

the magnetic force on a moving negative charge

c)

the velocity of a moving positive charge

d)

none of the above

57.

The magnetic force on a charged particle is in the direction of its velocity if:

a)

it is moving in the direction of the field

b)

it is moving opposite to the direction of the field

c)

it is moving perpendicular to the field

d)

never

58.

A magnetic field exerts a force on a charged particle:

a)

always

b)

never

c)

if the particle is moving across the field lines

d)

if the particle is moving along the field lines

59.

The direction of the magnetic field in a certain region of space is determined by firing a test charge into the region with its velocity in various directions in different trials. The field direction is:

a)

one of the directions of the velocity when the magnetic force is zero

b)

the direction of the velocity when the magnetic force is a maximum

c)

the direction of the magnetic force

d)

perpendicular to the velocity when the magnetic force is zero

60.

An electron is moving north in a region where the magnetic field is south. The magnetic force exerted on the electron is:

a)

zero

b)

up

c)

down

d)

east

61.

A magnetic field CANNOT:

a)

exert a force on a charged particle

b)

change the velocity of a charged particle

c)

change the momentum of a charged particle

d)

change the kinetic energy of a charged particle

62.

A proton (charge e), traveling perpendicular to a magnetic field, experiences the same force as an alpha particle (charge 2e) which is also traveling perpendicular to the same field. The ratio of their speeds, vprotonv_{proton}  / valphav_{alpha}  , is:

a)

0.5

b)

1

c)

2

d)

4

63.

A hydrogen atom that has lost its electron is moving east in a region where the magnetic field is directed from south to north. It will be deflected:

a)

up

b)

down

c)

north

d)

south

64.

A beam of electrons is sent horizontally down the axis of a tube to strike a fluorescent screen at the end of the tube. On the way, the electrons encounter a magnetic field directed vertically downward. The spot on the screen will therefore be deflected:

a)

upward

b)

downward

c)

to the right as seen from the electron source

d)

to the left as seen from the electron source

65.

An electron (charge = −1.6 × 101910^{-19}   C) is moving at 3 × 10510^5   m/s in the positive x direction. A magnetic field of 0.8 T is in the positive z direction. The magnetic force on the electron is:

a)

0

b)

4 × 101410^{-14}   N, in the positive z direction

c)

4 × 101410^{-14} N, in the negative z direction

d)

4 × 101410^{-14} N, in the positive y direction

66.

At one instant an electron (charge = −1.6× 101910^{-19}   C) is moving in the xy plane, the components of its velocity being vxv_x   = 5 × 10510^5   m/s and vy = 3 × 10510^5 m/s. A magnetic field of 0.8 T is in the positive x direction. At that instant the magnitude of the magnetic force on the electron is:

a)

0

b)

2.6 × 101410^{-14} N

c)

3.8 × 101410^{-14} N

d)

6.4 × 101410^{-14} N

67.

At one instant an electron (charge = −1.6× 101910^{-19}   C) is moving in the xy plane, the components of its velocity being vx = 5 × 10510^5 m/s and vy = 3 × 10510^5 m/s. A magnetic field of 0.8 T is in the positive x direction. At that instant the magnitude of the magnetic force on the electron is:

a)

0

b)

3.8 × 101410^{-14} N

c)

5.1 × 101410^{-14} N

d)

6.4 × 101410^{-14} N

68.

An electron travels due north through a vacuum in a region of uniform magnetic field Bn that is also directed due north. It will:

a)

be unaffected by the field

b)

speed up

c)

slow down

d)

follow a right-handed corkscrew path

69.

At one instant an electron is moving in the positive x direction along the x axis in a region where there is a uniform magnetic field in the positive z direction. When viewed from a point on the positive z axis, it subsequent motion is:

a)

straight ahead

b)

counterclockwise around a circle in the xy plane

c)

clockwise around a circle in the xy plane

d)

in the positive z direction

70.

An electron is launched with velocity v\overrightarrow{v}   in a uniform magnetic field B\overrightarrow{B}  . The angle θ between v\overrightarrow{v} and B\overrightarrow{B} is between 0 and 90◦. As a result, the electron follows a helix, its velocity vector v\overrightarrow{v} returning to its initial value in a time interval of:

a)

2πm/eB

b)

2πmv/eB

c)

2πmv sin θ/eB

d)

πmv cos θ/eB