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As shown in figure, a metal rod complete...

As shown in figure, a metal rod completes the circuit. The circuit area is perpendicular to a magnetic field with `B = 0.15 T`. If the resistance of the total circuit is `3 Omega`, how large a force is needed to move the rod as indicated with a constant speed of 2 m/s?

A

`3.75xx10^(-3)N`

B

`2.75xx10^(-3)N`

C

`6.57xx10^(-4)N`

D

`4.36xx10^(-4)N`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, B = 0.15 T, l = `50xx10^(-2)` cm and v = 2 `ms^(-2)`
`therefore` emf , e = Bvl
`e=0.15xx2xx50xx10^(-2)=0.15`
Current, `i=(e)/(R)=(0.15)/(3)=5xx10^(-2)`
Force, F = Bil = `0.15xx5xx10^(-2)xx50xx10^(-2)`
`=3.75xx10^(-3)N`
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