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Derive formula for induced charge and prove that it is independent of rate of change in flux. |
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Answer» Solution :From Faraday.s law, we have learnt that the magnitude of the induced EMF is, `|EPSILON|=(DeltaPhi_B)/(Deltat)`…(1) However, `|epsilon|=Ir=(DeltaQ)/(Deltat)r`…(2) Here r is resistance of coil. Thus, from EQUATIONS (1) and (2) `(DeltaPhi_B)/(Deltat)=(DeltaQ)/(Deltat)r` `therefore DeltaPhi_B=DeltaQr` `therefore DeltaQ=(DeltaPhi_B)/r` So, induced charge is only DEPENDS on CHANGE in flux but it does not depend on rate of change of flux. |
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