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Suppose the loop is stationary but the c...

Suppose the loop is stationary but the current feeding the electromagnet that produces the magnetic field is gradually reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T `s^(-1)`. If the cut is joined and the loop has a resistance of 1.6 `Omega`, how much power is dissipated by the loop as heat ? What is the source of this power ?

Text Solution

Verified by Experts

Induced emf,
`epsilon=-(dphi)/(dt)`
`therefore epsilon=-d/(dt)(AB cos 0^@)(because vecA||vecB)`
`=-A(dB)/(dt)`
`=-(8xx10^(-2)xx2xx10^(-2))(-0.02)`
`therefore epsilon=3.2xx10^(-5)` V
Power dissipated in the form of heat,
`P=epsilon^2/R`
`=(3.2xx10^(-5))^2/1.6`
`therefore P=6.4xx10^(-10)W` (watt)
Magnetic field changing with time is an external source to produce this power.
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