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

(1) Zero

(2) 10 W

(3) 5 W

(4) 2.5 W

Subtopic:  Power factor |
 68%
From NCERT
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A generator produces a voltage that is given by \(V = 240\sin(120t)\), where \(t\) is in seconds. The frequency and rms voltage are:
1. \(60\) Hz and \(240\) V
2. \(19\) Hz and \(120\) V
3. \(19\) Hz and \(170\) V
4. \(754\) Hz and \(70\) V
Subtopic:  RMS & Average Values |
 83%
From NCERT
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If a current I given by I0sinωtπ2 flows in an ac circuit across which an ac potential of E=E0sinωt has been applied, then the power consumption P in the circuit will be 

(1) P=E0I02

(2) P=2E0I0

(3) P=E0I02

(4) P = 0

Subtopic:  Different Types of AC Circuits |
 82%
From NCERT
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In an AC circuit, the current is given by; \(i=5\sin\left(100t-\frac{\pi}{2}\right)\) and the AC potential is \(V =200\sin(100 t)~\text V.\) The power consumption is:
1. \(20~\text W\)
2. \(40~\text W\)
3. \(1000~\text W\)
4. zero

Subtopic:  Power factor |
 86%
From NCERT
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In an \(LCR\) circuit having \(L = 8.0~\text{H}\), \(C= 0.5~\mu\text{F}\) and \(R = 100~\Omega\) in series, what is the resonance frequency?
1. \(600\) radian/sec
2. \(600\) Hz
3. \(500\) radian/sec
4. \(500\) Hz

Subtopic:  Different Types of AC Circuits |
 70%
From NCERT
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A circuit consists of \(3\) ohms of resistance and \(4\) ohms of reactance. The power factor of the circuit is:

1. \(0.4\) 2. \(0.6\)
3. \(0.8\) 4 \(1.0\)
Subtopic:  Power factor |
 75%
From NCERT
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The power factor of a good choke coil is:

1. Nearly zero

2. Exactly zero

3. Nearly one

4. Exactly one

Subtopic:  Power factor |
 55%
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The phase difference between the current and voltage of LCR circuit in series combination at resonance is 

(1) 0

(2) π/2

(3) π

(4) –π

Subtopic:  LC Oscillations (OLD NCERT) |
 74%
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In a series \(LCR\) circuit, resistance \(R=10~\Omega\) and the impedance \(Z=20~\Omega\). The phase difference between the current and the voltage will be:
1. \(30^{\circ}\)
2. \(45^{\circ}\)
3. \(60^{\circ}\)
4. \(90^{\circ}\)

Subtopic:  Different Types of AC Circuits |
 83%
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The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is 

(1) R/ωL

(2) R/(R2+ω2L2)1/2

(3) ωL/R

(4) R/(R2ω2L2)1/2

Subtopic:  Different Types of AC Circuits |
 89%
From NCERT
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