Two circular coils X and Y having equal number of turns and carry equal currents in the same sense and subtend same solid angle at point O. If the smaller coil X is midway between O and Y, then if we represent the
magnetic induction due to bigger coil Y at O as B_Y and due to smaller coil X at O as B_X, then

Question

Two circular coils X and Y having equal number of turns and carry equal currents in the same sense and subtend same solid angle at point O. If the smaller coil X is midway between O and Y, then if we represent the

magnetic induction due to bigger coil Y at O as B_Y and due to smaller coil X at O as B_X, then

Infinity Learn · Accepted Answer

Magnetic induction at O due to coil Y is given $$byBY=$$μ$$04$$π×$$2$$$$π$$$$i(2r)2(2r)2+(d)23/2$$………………(1)Similarly$$, the magnetic induction at O due to coil X is given $$byBX=$$μ$$04$$π×$$2$$$$π$$$$i(r)2(r)2+(d/2)23/2$$…………….$$(2)From$$ eqs. $$(1) ad (2),$$BYBX=12$$

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