Electromagnetic Induction MCQs for NEET — Physics Questions with Answers

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The inductance of a coil is 60μH. A current in this coil increases from 1.0 A to 1.5 A in 0.1 second. The magnitude of the induced e.m.f. is 

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Explanation

e=Ldidt=60×106.(1.51.0)0.1=3×104volt   

The self inductance of a coil is L. Keeping the length and area same, the number of turns in the coil is increased to four times. The self inductance of the coil will now be 

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Explanation

L=μ0N2AlLN2Lf=4NN2L=16L

A coil has an inductance of 2.5 H and a resistance of 0.5 r. If the coil is suddenly connected across a 6.0 volt battery, then the time required for the current to rise 0.63 of its final value is 

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Explanation

t=τ=LR=2.50.5=5sec  

If a current of 10 A flows in one second through a coil, and the induced e.m.f. is 10 V, then the self-inductance of the coil is 

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Explanation

|e|=Ldidt10=L×101L=1H  

An inductance L and a resistance R are first connected to a battery. After some time the battery is disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in

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Explanation

When battery disconnected current through the circuit start decreasing exponentially according to i=i0eRt/L

0.37i0=i0eRt/L

0.37=1e=eRt/Le=eLRtLRt=1LR=t

In an LR-circuit, the time constant is that time in which current grows from zero to the value (where I0 is the steady-state current) 

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Explanation

Current at any instant of time t after closing an L-R circuit is given by I=I01eRLt

Time constant t=LR

  I=I01eRL×LR=I0(1e1)=I011e

=I0112.718=0.63I0=63% of I

A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity ω. The induced e.m.f. between the two ends is 

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Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 >> R2, the mutual inductance M between them will be directly proportional to 

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Explanation

Mutual inductance between two coil in the same plane with their centers coinciding is given by

M=μ04π2π2R22N1N2R1 henry.  

A circular loop of radius R carrying current I lies in the x-y plane with its centre at the origin. The total magnetic flux through the x-y plane is 

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Explanation

The circular loop behaves as a magnetic dipole whose one surface will be N-pole and another will be S-pole. Therefore magnetic lines of force emerge from N will meet at S. Hence total magnetic flux through x-y plane is zero.

A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to 

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