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Derive relation between induced charge and change in magnetic 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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