A physicist works in a laboratory where the magnetic field is $$4$$ T. She wears a necklace enclosing area $$0.01$$ $$m2$$ in such a way that the plane of the necklace is normal to the field and is having a resistance R $$=$$ $$0.01$$ Ω. Because of power failure, the field decays to $$1$$ T in time $$10$$–$$3$$ seconds. Then what is the total heat produced in her necklace? (T$$ $$=$$ $$Tesla)

Question

A physicist works in a laboratory where the magnetic field is $$4$$ T. She wears a necklace enclosing area $$0.01$$ $$m2$$ in such a way that the plane of the necklace is normal to the field and is having a resistance R $$=$$ $$0.01$$ Ω. Because of power failure, the field decays to $$1$$ T in time $$10$$–$$3$$ seconds. Then what is the total heat produced in her necklace? (T$$ $$=$$ $$Tesla)

Infinity Learn · Accepted Answer

$$H=V2tR$$  ​and   $$V=N(B2$$−$$B1)Acos$$θ$$tV=1$$×(4$$−$$1)×$$0.01$$×$$cos0o10$$−$$3=30$$ VSo,    $$H=(30)2$$×$$10$$−$$30.01=90$$ J

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