Two parallel long current carrying wire separated by a distance $2 r$ are shown in the figure. The ratio of magnetic field at $A$ to the magnetic field produced at $C$ is $\frac{x}{7}$ . The value of $x$ is _____

Question

Two parallel long current carrying wire separated by a distance 2 r are shown in the figure. The ratio of magnetic field at A to the magnetic field produced at C is 7 x ​ . The value of x is _____

TestHub · Accepted Answer

​ B A ​ = 2 π r μ 0 ​ i ​ + 2 π ( 3 r ) μ 0 ​ ( 2 i ) ​ = 6 π r 5 μ 0 ​ i ​ B C ​ = 2 π r μ 0 ​ ( 2 i ) ​ + 2 π ( 3 r ) μ 0 ​ i ​ = 6 π r 7 μ 0 ​ i ​ ∴ B C ​ B A ​ ​ = 7 5 ​ ∴ x = 5 ​

Physics - Magnetism Question with Solution | TestHub

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