A circuit consists of a coil with inductance L and an uncharged capacitor of capacitance C . The coil is in a constant uniform magnetic field such that the flux through the coil is ϕ . At time t = 0 min , the magnetic field is abruptly switched OFF. Let ω 0 = 1 L C and ignore the resistance of the circuit. Then,

current in the circuit is I t = ϕ L cos ω 0 t

magnitude of the charge on the capacitor is | Q t | = 2 C ω 0 sin ω 0 t

initial current in the circuit is infinite

initial charge on the capacitor is C ω 0 ϕ

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 27 - Electromagnetic Induction>KVPY Aptitude Test - Stream SX 2016>Q 6

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A conducting bar of mass $m$ and length $l$ moves on two frictionless parallel rails in the presence of a constant uniform magnetic field of magnitude $B$ directed into the page as shown in the figure.The bar is given an initial velocity $v_{0}$ towards the right at $t = 0 .$

Then, the

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Important Questions on Electromagnetic Induction

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 27 - Electromagnetic Induction>KVPY Aptitude Test - Stream SX 2015>Q 7

A metallic ring of radius

a

and resistance

R

is held fixed with its axis along a spatially uniform magnetic field whose magnitude is

B_{0} \sin (ω t) .

Neglect gravity. Then,

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 27 - Electromagnetic Induction>KVPY Aptitude Test - Stream SX 2015>Q 8

In the circuit shown below, all the inductors (assumed ideal) and resistors are identical. The current through the resistance on the right is $I$ after the key $K$ has been switched on for along time. The currents through the three resistors (in order, from left to right) immediately after the key is switched off are-

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 27 - Electromagnetic Induction>KVPY Aptitude Test - Stream SX 2014>Q 9

Two identical metallic square loops

L_{1} a n d L_{2}

are placed next to each other with their sides parallel on a smooth horizontal table. Loop

L_{1}

is fixed and a current which increases as a function of time is passed through it. Then loop

L_{2}

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 27 - Electromagnetic Induction>KVPY Aptitude Test - Stream SX (5 Nov 2017)>Q 10

A square-shaped conducting wire loop of dimension a moving parallel to the $x$ -axis approaches a square region of size $b (a < b)$ where a uniform magnetic field $B$ exists pointing into the plane of the paper (see figure). As the loop passes through this region, the plot correctly depicting its speed $(v)$ as a function of $x$ is.