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

Question

Infinity Learn · Accepted Answer

As two coils subtend the same solid angle at O, hence Area of coil Y $$=$$ $$4$$ x Area of coil XSolid  angle $$=$$ area⊥  $$distance2i$$. e., Radius of coil Y $$=$$ $$2$$ x Radius of coil X∴   By $$=$$  μ$$04$$π×  $$2$$π I $$2r22r2$$ $$+$$ $$d23/2Bx$$ $$=$$  μ$$04$$π×  $$2$$π  $$r2r2$$ $$+$$ $$d223/2$$∴   ByBx $$=$$   $$44r2+d23/2$$ ×  $$4r2+d243/2=$$  $$443/2$$  $$=$$  $$48=12$$

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