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  • An otherwise infinite, straight wire has two concentric loops of radii a and b</s

An otherwise infinite, straight wire has two concentric loops of radii a and b carrying equal current in opposite directions as shown in figure. The magnetic field at the common centre is zero

Option: 1

\frac{a}{b}=\frac{\pi-1}{\pi}


Option: 2

\frac{a}{b}=\frac{\pi}{\pi+1}


Option: 3

\frac{a}{b}=\frac{\pi-1}{\pi+1}


Option: 4

\frac{a}{b}=\frac{\pi+1}{\pi-1}


Answers (1)

best_answer

B_{\text {center }}=0 \\

\frac{\mu_0 I}{4 \pi b} \odot+\frac{\mu_0 I}{2 b} \odot+\frac{\mu_0 I}{4 \pi b} \odot+\frac{\mu_0 I}{2 a} \otimes=0 \\

\frac{\mu_0 I}{2 \pi b}+\frac{\mu_0 I}{2 b}-\frac{\mu_0 I}{2^1 a}=0 \\

\frac{1}{2 \pi b}+\frac{1}{2 b}=\frac{1}{2 a} \Rightarrow \frac{a}{b}=\frac{\pi}{\pi+1}

Posted by

Pankaj

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