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The figure shows a system of infinite concentric circular current loops having radii \( \mathrm{R}_{1}, \mathrm{R}_{2}, \mathrm{R}_{3} \rightarrow \mathrm{R}_{\mathrm{n}} \). The loops carry net current \( i \) alternately in clockwise and anticlockwise direction. The magnitude of net magnetic field of the centre of the loops is
(a) \( \frac{\mu_{0} i}{2}\left[\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}+\frac{1}{R_{4}} \cdots\right] \)
(b) \( \frac{\mu_{0} i}{2}\left[\frac{1}{R_{1}}-\frac{1}{R_{2}}+\frac{1}{R_{3}}-\frac{1}{R_{4}}+\ldots\right] \)
(c) \( \frac{\mu_{0} i}{4 \pi}\left[\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}+\frac{1}{R_{4}}+\ldots\right] \)
(d) \( \frac{\mu_{\mathrm{o}} i}{4 \pi}\left[\frac{1}{R_{1}}-\frac{1}{R_{2}}+\frac{1}{R_{3}}-\frac{1}{R_{4}}+\ldots\right] \)
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