Question 310: Electromagnetic Induction

Question

A rectangular loop $$\mathrm{PQMN}$$ with movable arm $$\mathrm{PQ}$$ of length $$12 \mathrm{~cm}$$ and resistance $$2 \Omega$$ is placed in a uniform magnetic field of $$0.1 \mathrm{~T}$$ acting perpendicular to the plane of the loop as shown in figure. The resistances of the arms MN, NP and MQ are negligible. The current induced in the loop when arm PQ is moved with velocity $$20 \mathrm{~ms}^{-1}$$ is

Accepted Answer

$$\mathrm{B}=0.1 \mathrm{~T}, \ell=0.12 \mathrm{~m}, \mathrm{v}=20 \mathrm{~m} / \mathrm{s}, \mathrm{R}=2 \Omega$$
emf induced $$\mathrm{e}=\mathrm{B} \ell \mathrm{v}=0.1 	imes 0.12 	imes 20=0.24 \mathrm{~V}$$
$$\mathrm{I}=\frac{\mathrm{V}}{\mathrm{R}}=\frac{0.24}{2}=0.12 \mathrm{~A}$$

Answer

0.12 A

Answer

0.06 A

Answer

0.24 A

Answer

0.18 A

Electromagnetic Induction

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