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Shows a square loop having 100 turns, a...

Shows a square loop having 100 turns, an area of `2.5 X10^(-3) m^2` and a resistance of `100 Omega`. The magnetic field has a magnitude B =0.40 T. Find the work done in pulling the loop out of the field, slowly and uniformly is 1.0 s.

Text Solution

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(a) When `S_1 closed and S_2 open`
`Net R=4xx4=16 Omega`
`e=(d phi)/(dt)=A.(dB)/(dt)`
`=10^(-4)xx2xx10^(-2)`
`=2xx10^(-6)V`
`Through ad=e/R= (2xx10^(-6))/16`
`=1.25xx10^(-7) A along ad.`
` (b)Here R= 16 Omega`
`e=Axx(dB)/(dt)=2xx10^(-6)V`
`i=(20xx10^(-6))/(16)`
`=1.25xx10^(-7) A along da.`
`(c) since both S_1 and S_2 are open , no current is passed as circuit is open i,e.`
`i=0`
`(d) Since both S_1 and S_2 and are closed, the circuit forms a balance wheatstone bridge and no current will flow along ad i.e,`
`i=0`.
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