In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are r, $$2r$$, $$22r$$, $$23r$$..... ∞ The magnetic field at the centre of rings will be

Question

In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are r,  $$2r$$,  $$22r$$,  $$23r$$..... ∞ The magnetic field at the centre of rings will be

Infinity Learn · Accepted Answer

B $$=$$ μ$$0i2r$$ −μ$$0i22r$$ $$+$$ μ$$0i222r$$ ......∞B $$=$$ μ$$0i2r$$ $$1$$−$$12$$  $$+122$$  $$+123$$  $$+$$....∞ B $$=$$ μ$$0i2r$$ $$11$$− −$$12B$$ $$=$$ μ$$0i3r$$

In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are $r, 2 r, 2^{2} r, 2^{3} r . .... \infty$ The magnetic field at the centre of rings will be

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In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are r, 2r, 22r, 23r..... ∞ The magnetic field at the centre of rings will be

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In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are $r, 2 r, 2^{2} r, 2^{3} r . .... \infty$ The magnetic field at the centre of rings will be