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Alternating Current

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

The power is transmitted from a power house on high voltage ac because...

a)

Electric current travels faster at higher volts

b)

It is more economical due to less power wastage

c)

It is difficult to generate power at low voltage

d)

Chances of stealing transmission lines are minimized

2.

The potential difference V and the current i flowing through an instrument in an ac circuit of frequency f are given by V=5 cos wt volts and I = 2 sin wt amperes (where w = 2pf). The power dissipated in the instrument is

a)

Zero

b)

10W

c)

5W

d)

2.5W

3.

In an ac circuit, V and I are given by V = 100 sin (100 t) volts,

 I = 100 sin (100t+π3) mAI\ =\ 100\ \sin\ \left(100t+\frac{\pi}{3}\right)\ mA  . The power dissipated in circuit is

a)

 10410^4   watt

b)

10 watt

c)

2.5 watt

d)

5 watt

4.

Alternating current can not be measured by dc ammeter because

a)

ac cannot pass through dc ammeter

b)

Average value of complete cycle is zero

c)

ac is virtual

d)

ac changes its direction

5.

The resistance of a coil for dc is in ohms. In ac, the resistance

a)

Will remain same

b)

Will increase

c)

Will decrease

d)

Will be zero

6.

If instantaneous current is given by 

 i=4 cos (ωt + ϕ)i=4\ \cos\ \left(\omega t\ +\ \phi\right)  amperes, then the r.m.s. value of current is

a)

4 amperes

b)

 222\sqrt{2}   amperes

c)

 424\sqrt{2}  amperes

d)

Zero amperes

7.

In an ac circuit, peak value of voltage is 423 volts. Its effective voltage is...

a)

400 volts

b)

323 volts

c)

300 volts

d)

340 volts

8.

A generator produces a voltage that is given by

 v=240 sin 120tv=240\ \sin\ 120t  , where t is in seconds. The frequency and r.m.s. voltage are

a)

60 Hz and 240 V

b)

19 Hz and 120 V

c)

19 Hz and 170 V

d)

754 Hz and 70 V

9.

The power factor of LCR circuit at resonance is...

a)

0.707

b)

1

c)

Zero

d)

0.5

10.

An inductance of 1 mH a condenser of 10 mF and a resistance of 50 W are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be...

a)

100 W

b)

30 W

c)

3.2 W

d)

10 W

11.

The natural frequency of a L-C circuit is equal to...

a)

12π LC\frac{1}{2\pi}\ \sqrt{LC}

b)

12π LC \frac{1}{2\pi\ \sqrt{LC}}\

c)

12π LC\frac{1}{2\pi}\ \sqrt{\frac{L}{C}}

d)

12π CL\frac{1}{2\pi}\ \sqrt{\frac{C}{L}}

12.

An ac circuit consists of an inductor of inductance 0.5 H and a capacitor of capacitance 8 mF in series. The current in the circuit is maximum when the angular frequency of ac source is

a)

500 rad/sec

b)

2 x 105 rad/sec

c)

4000 rad/sec

d)

5000 rad/sec

13.

In a region of uniform magnetic induction  B=102B=10^{-2}   tesla, a circular coil of radius 30 cm and resistance  π2\pi^2   ohm is rotated about an axis which is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is

a)

 4 π24\ \pi^2  mA

b)

30 mA

c)

6 mA

d)

200 mA

14.

An inductive circuit contains a resistance of 10 ohm and an inductance of 2.0 henry. If an ac voltage of 120 volt and frequency of 60 Hz is applied to this circuit, the current in the circuit would be nearly

a)

0.32 amp

b)

0.16 amp

c)

0.48 amp

d)

0.80 amp

15.

In a LCR circuit having L = 8.0 henry, C = 0.5 mF and R = 100 ohm in series. The resonance frequency in per second is

a)

600 radian

b)

600 Hz

c)

500 radian

d)

500 Hz

16.

In LCR circuit, the capacitance is changed from C to 4C. For the same resonant frequency, the inductance should be changed from L to...

a)

2L

b)

L / 2

c)

L / 4

d)

4L

17.

A 120 volt ac source is connected across a pure inductor of inductance 0.70 henry. If the frequency of the source is 60 Hz, the current passing through the inductor is...

a)

4.55 amps

b)

0.355 amps

c)

0.455 amps

d)

3.55 amps

18.

The impedance of a circuit consists of 3 ohm resistance and 4 ohm reactance. The power factor of the circuit is...

a)

0.4

b)

0.6

c)

0.8

d)

1.0

19.

The power factor of a good choke coil is...

a)

Nearly zero

b)

Exactly zero

c)

Nearly one

d)

Exactly one

20.

An alternating current source of frequency 100 Hz is joined to a combination of a resistance, a capacitance and a coil in series. The potential difference across the coil, the resistance and the capacitor is 46, 8 and 40 volt respectively. The electromotive force of alternating current source in volt is...

a)

94

b)

14

c)

10

d)

76