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A square metallic wire loop of side "0.1...

A square metallic wire loop of side `"0.1 m"` and resistance of `1Omega` is moved with a constant velocity in a magnetic field of `2wb//m^(2)` as shown in figure. The magnetic field field is perpendicular to the plane of the loop, loop is coonected to a network of resistances. what should be the velocity of loop so as to have a steady current of `1mA` in loop?

A

(a) `2ms^(-1)`

B

(b) `2ms^(-1)`

C

( c) `10ms^(-1)`

D

(d) `20ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Effective resistance is `4 Omega`.
`I = (E)/(R ) = (Blv)/(R ) or v = (IR)/(Bl)`
or `v = (1 xx 10^(-3) xx 4)/(2 xx 10 xx 10^(-2))ms^(-1)`
`= 0.02 ms^(-1) = 2cm s^(-1)`
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