Plane figures made of thin wires of resistance R $$=$$ $$50$$ milli $$ohm/metre$$ are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate $$dB/dt$$ $$=$$ $$0.1$$ m $$T/s$$. Then currents in the inner and outer boundary are. (The$$ inner radius a $$=$$ $$10$$ cm and outer radius b $$=$$ $$20$$ $$cm)

Question

Infinity Learn · Accepted Answer

Current in the inner coil  $$i=eR=A1R1dBdtlength$$ of the inner coil  $$=2$$$$π$$aso it’s resistance  $$R1=50$$×$$10$$−$$3$$×$$2$$π (a)∴$$i1=$$π$$a250$$×$$10$$−$$3$$×$$2$$π (a)×$$0.1$$×$$10$$−$$3=10$$−$$4AAccording$$ to lenz’s law direction of $$i1$$ is clockwise. Induced current in outer coil  $$i2=e2R2=A2R2dBdt$$⇒$$i2=$$π$$b250$$×$$10$$−$$3$$×(2$$$$π$$$$b)×$$0.1$$×$$10$$−$$3=2$$×$$10$$−$$4A$$ (CW)

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