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Byju's Answer

Standard XII

Physics

Force on a Finite Wire

The current g...

Question

The current generator, $I_{g}$ , sends a constant current $1 A$ through the circuit. The wire $cd$ is fixed and $ab$ is made to slide on the smooth thick rails with a constant velocity $20 m/s$ towards right in a magnetic field of magnitude $1.5 T$ . Each of these wires has resistance $5 Ω$ and length of each wire is $0.5 m$ . Find the current through the wire $cd$ .

0.5 A

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1.5 A

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1 A

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3 A

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Solution

The correct option is C $1 A$
Let the current flowing through the wire $cd$ is $i$ ,

Emf induced across the wire $ab$ ,

$E = B l v = 1.5 \times 0.5 \times 20 = 15 V$

The equivalent circuit can be drawn as,

Applying $KVL$ in the loop $bcda$ ,

$(1 - i) \times 5 - 15 - 5 i = 0$

$\Rightarrow - 10 i = 10$

$∴ i = - 1 A$

Hence, $(C)$ is the correct answer.

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Similar questions

Q. The current generator

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i

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l

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Q. Figure shows a wire

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and resistance

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moves along conducting guiding rails

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with a uniform speed of

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exists normal to the plane of

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directed into the page. The guiding rails are short-circuited with resistances of

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The correct option is C 1 A Let the current flowing through the wire cd is i, Emf induced across the wire ab, E=Blv=1.5×0.5×20=15 V The equivalent circuit can be drawn as, Applying KVL in the loop bcda, (1−i)×5−15−5i=0 ⇒−10i=10 ∴i=−1 A Hence, (C) is the correct answer.