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AB and CD are two parallel conductors ke...

AB and CD are two parallel conductors kept 1 m apart and connected by a resistance R of `6Omega` , as shown in figure below. They are placed in a magnetic field `B = 3 xx 10^(-2)` T which is perpendicular to the plane of the conductors and directed into the paper. A wire MN is placed over AB and CD and then made to slide with a velocity `2 ms^(-1)` (Neglect the resistance of AB, CD, and MN.)

Calculate the induced current flowing through the resistor R.

Text Solution

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Given : `B = 3xx10^(-2) T, v = 2 ms^(-1) , l =1 m,`
`R = 6Omega , e = ?`
Induced emf e = Blv
`= 3 xx10^(-2) xx1 xx2`
`= 6 xx10^(-2)V`
Induced current , `I = e/R`
` = (6xx10^(-2))/6`
`= 10^(-2)A`
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