Figure shows a coil of radius $$2$$ cm concentric with a coil of radius $$7$$ cm. Each coil has $$1000$$ turns' With a current of $$5$$ amp in larger coil, find the current needed in the smaller coil to give the total magnetic field at the centre equal to $$2$$ mT

Question

Infinity Learn · Accepted Answer

Let $$B1$$ and $$B2$$ be the magnetic fields at centres due to bigger and smaller coils. Therefore,$$B1=$$μ$$0ni12r1=4$$π×$$10$$−$$7$$×$$100$$×$$52$$×$$0.07=4.49mTand$$ $$B2=$$μ$$0ni22r2=4$$π×$$10$$−$$7$$×$$100$$×$$i22$$×$$0$$⋅$$02$$ $$B1$$−$$B2=2$$ or $$B2=4.49$$−$$2=2.49mT$$∴ $$2$$⋅$$49=4$$π×$$10$$−$$7$$×$$100$$×$$i22$$×$$0$$⋅$$02i2=0.793amp$$

Figure shows a coil of radius 2 cm concentric with a coil of radius 7 cm. Each coil has 1000 turns' With a current of 5 amp in larger coil, find the current needed in the smaller coil to give the total magnetic field at the centre equal to 2 mT

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