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To light, a $50 W, 100 V$ lamp is connected, in series with a capacitor of capacitance $\frac{50}{π \sqrt{x}} μ F$ , with $200 V, 50 Hz AC$ source. The value of $x$ will be _____ .

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Important Questions on Electromagnetic Induction and Alternating Currents

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 27 July 2022 Shift 2>Q 147

A series LCR circuit has

L = 0.01 H, R = 10 Ω

and

C = 1 μ F

and it is connected to AC voltage of amplitude

(V_{m}) 50 V

. At frequency

60 %

lower than resonant frequency, the amplitude of current will be approximately

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 27 July 2022 Shift 2>Q 148

A conducting circular loop is placed in

X - Y

plane in presence of magnetic field

\vec{B} = (3 t^{3} \hat{j} + 3 t^{2} \hat{k})

in SI unit. If the radius of the loop is

1 m

, the induced emf in the loop, at time,

t = 2 s

n π V

. The value of

n

is _____ .

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 28 July 2022 Shift 1>Q 149

The equation of current in a purely inductive circuit is

5 \sin (49 π t - 30 °)

. If the inductance is

30 mH

then the equation for the voltage across the inductor, will be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 28 July 2022 Shift 1>Q 150

The frequencies at which the current amplitude in an LCR series circuit becomes

\frac{1}{\sqrt{2}}

times its maximum value, are

212 rad s^{- 1}

and

232 rad s^{- 1}

. The value of resistance in the circuit is

R = 5 Ω

. The self inductance in the circuit is _____

mH

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 28 July 2022 Shift 2>Q 151

A transformer operating at primary voltage

8 kV

and secondary voltage

160 V

serves a load of

80 kW

. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 28 July 2022 Shift 2>Q 152

For the given circuit the current through battery of $6 V$ just after closing the switch ' $S$ ' will be _____ $A$ .

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 29 July 2022 Shift 1>Q 153

An alternating emf

E = 440 \sin 100 π t

is applied to a circuit containing an inductance of

\frac{\sqrt{2}}{π} H

. If an a.c. ammeter is connected in the circuit, its reading will be :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Electromagnetic Induction and Alternating Currents>JEE Main - 29 July 2022 Shift 1>Q 154

A coil of inductance $1 H$ and resistance $100 Ω$ is connected to a battery of $6 V$ . Determine approximately :

(a) The time elapsed before the current acquires half of its steady-state value
(b) The energy stored in the magnetic field associated with the coil at an instant $15 ms$ after the circuit is switched on. (Given $\ln 2 = 0.693$ , $e^{\frac{- 3}{2}} = 0.25$ )

To light, a 50 W,100 V lamp is connected, in series with a capacitor of capacitance 50πx μF, with 200 V, 50 Hz AC source. The value of x will be _____ .

Important Questions on Electromagnetic Induction and Alternating Currents

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To light, a $50 W, 100 V$ lamp is connected, in series with a capacitor of capacitance $\frac{50}{π \sqrt{x}} μ F$ , with $200 V, 50 Hz AC$ source. The value of $x$ will be _____ .