Free Printable Chapter 17 Electromagnetic Induction

1.

What is the magnetic flux linked with the plane?

a)

BA cos $\theta$

b)

BA sin $\theta$

c)

2BA cos $\theta$

d)

2BA sin $\theta$

2.

A coil of area 30 $cm^2$ and 50 turns is placed perpendicular to the magnetic field of flux density 0.7 T. What is the magnetic flux linked with the coil?

a)

0.021 Wb

b)

0.105 Wb

c)

1050 Wb

d)

1500 Wb

3.

A plane of area 25 $cm^2$ is placed in a magnetic field of flux density 1.2 T. If the plane is inclined at $30^{\degree}$ to the magnetic field, calculate the magnetic flux linked with the plane.

a)

0.0015 Wb

b)

0.0030 Wb

c)

0.0026 Wb

d)

0.0035 Wb

4.

If XY is the normal line to the plane of the coil, what is the ratio of

\frac{magnetic\ flux\ in\ \left(a\right)}{magnetic\ flux\ in\ \left(b\right)}

?

a)

1:2

b)

1:1

c)

2:1

d)

3:2

5.

A circular coil of area 1.5 $m^2$ and number of turns 200 is placed in a 1.4 T magnetic field which is perpendicular to the plane of the coil as shown in the diagram. If this magnetic field is reduced to 0.20 T in 0.01 s, what is the e.m.f. induced in the coil?

a)

1.8 $\times10^2$ V

b)

2.4 $\times10^2$ V

c)

3.0 $\times10^4$ V

d)

3.6 $\times10^4$ V

6.

A bar magnet is moved towards a solenoid. Which of the following statement is not true about the changes experienced by the solenoid?

a)

The galvanometer deflects when the magnet is brought near to the solenoid.

b)

The induced current flows from X to Y when the magnet is approaching the solenoid.

c)

The galvanometer shows maximum deflection when the magnet is in the centre of the solenoid.

d)

The solenoid at end P acts as North pole when the magnet is moved away from end P.

7.

If points C and M are connected by a conducting wire, which statement is not true about the metal rod?

a)

The induced current flows from M to C.

b)

The e.m.f. induced in the rod is B $l$ v.

c)

The end C of the rod is positively charged.

d)

The free electrons in the rod experiences upward magnetic force.

8.

If the current flows in the wire increases at a constant rate, which statement below is true about the induced current in the coil?

a)

It is constant and is in the clock wise direction.

b)

It is constant and is in the anticlockwise direction.

c)

It increase with time and is in the clockwise direction.

d)

It is zero.

9.

An e.m.f. is induced in the coil from right to left. Which of the following describes the current through the coil?

a)

The current is constant and it moves from right to left.

b)

The current is constant and it moves from left to right.

c)

The current is increasing and it moves from left to righ.

d)

The current is increasing and it moves from right to left.

10.

A solenoid of length $l$ and cross-sectional area A contains N turns of wire. Which of the following shows the self-inductance L of the solenoid?

a)

$\frac{\mu_0N^2A}{l}$

b)

$\frac{\mu_0N^2\pi r}{2}$

c)

$\mu_0N^2\pi r$

d)

$\mu_0N^2A$

11.

A solenoid of cross-sectional area 0.25 cm² and length 10 cm contains 200 turns of wire and the solenoid is air filled. Calculate the self-inductance L of the solenoid.

a)

7.5 $\mu H$

b)

9.6 $\mu H$

c)

11 $\mu H$

d)

13 $\mu H$

12.

When the current in a solenoid changes uniformly from -12.0 mA to 18.0 mA in 15.0 ms, a back-e.m.f. is induced in the solenoid. If the self-inductance of the solenoid is 3.97 H, what is the value of the back e.m.f.?

a)

7.94 V

b)

8.50 V

c)

8.79 V

d)

10.2 V

13.

At the instant when the current is 9.0 A, a magnetic flux of 2.5 $\times10^{-3}$ Wb is produced in a coil of 1000 turns. Calculate the energy stored in the coil.

a)

10.3 J

b)

11.3 J

c)

22.5 J

d)

40.5 J

14.

If $l=2.44\ m$ , $N_p$ =300, $N_s$ =100, A=1.26 $\times10^{-3}m^2$ and teh solenoid is air-filled, calculate the mutual inductance between the solenoids.

a)

1.16 $\times10^{-4}$ H

b)

4.75 $\times10^{-5}$ H

c)

3.15 $\times10^{-5}$ H

d)

1.95 $\times10^{-5}$ H

15.

If the current in the primary coil decreases uniformly from 12.0 A to zero in 58.0 ms and the e.m.f. induced in the secondary coil is 8.03 V, calculate the mutual inductance, M.

a)

1.66 mH

b)

38.8 mH

c)

39.3 mH

d)

40.5 mH

Chapter 17 Electromagnetic Induction

Total questions: 15

Worksheet time: 23mins

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