In a series resonant RLC circuit, the voltage across 100 Ω resistor is 40 V. The resonant frequency ω is 250 rad/s. If the value of C is 4 µF, then the voltage across L is

(a)

600 V

(b)

4000 V

(c)

400 V

(d)

1 V

An inductor 20 mH, a capacitor 50 μF and a resistor 40Ω are connected in series across a source of emf V = 10 sin 340 t. The power loss in AC circuit is

(a)

0.76 W

(b)

0.89 W

(c)

0.46 W

(d)

0.67 W

The instantaneous values of alternating current and voltage in a circuit are \(i=\frac { 1 }{ \sqrt { 2 } } \sin\left( 100\pi t \right) \) A and v \(=\frac { 1 }{ \sqrt { 2 } } \sin\left( 100\pi t+\frac { \pi }{ 3 } \right) V.\)The average power in watts consumed in the circuit is

(a)

\(\frac{1}{4}\)

(b)

\(\frac{\sqrt3}{4}\)

(c)

\(\frac{1}{2}\)

(d)

\(\frac{1}{8}\)

In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is

(a)

\(\frac{Q}{2}\)

(b)

\(\frac{Q}{\sqrt3}\)

(c)

\(\frac{Q}{\sqrt2}\)

(d)

Q

\(\frac{20}{\pi^2}H\)  inductor is connected to a capacitor of capacitance C. The value of C in order to impart maximum power at 50 Hz is

(a)

50 μF

(b)

0.5 μF

(c)

500 μF

(d)

5 μF

In LCR series circuit, at resonance is ___________

(a)

impedance (Z) is maximum

(b)

current is minimum

(c)

impedance (Z) is equal to R

(d)

v_o = \(\frac{1}{LC}\)

In an LCR series a.c, circuit, the phase difference between current and voltage is 60°. If the net reactance of the circuit is 17.32Ω, the value of the resistance is ______________.

(a)

30Ω

(b)

17.32 Ω

(c)

10 Ω

(d)

1.732 Ω

The average power consumed per cycle is ______________.

(a)

Zero

(b)

2000 W

(c)

1000 W

(d)

500 W

The instantaneous current in an AC circuit containing a pure inductor is i = I_o sinωt, The instantaneous emf is ___________________.

(a)

e = E_osin\(\left( \omega t+\frac { \pi }{ 2 } \right) \)

(b)

e = E_osin\(\left( \omega t-\frac { \pi }{ 2 } \right) \)

(c)

e=E_osin(ωt - π)

(d)

e = E_osin

In RLC series AC circuit at resonance __________.

(a)

Resistance is zero

(b)

Net reactance is zero

(c)

impedance is maximum

(d)

voltage leads the current by a phase angle \(\frac{ㅠ}{2}\)

Faraday's law

(1)

Voltage leads current

Ac circuit with resistor

(2)

Voltage and current are in phase

Ac circuit with inductor

(3)

Predominantly Inductive

Ac circult with capacitor

(4)

Current leads voltage

RLC circuit

(5)

Electromagnetic Induction