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JEE Main 20244 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 4 April
Shift: Evening Shift
Subject: Physics
Chapter: Magnetic Effects of Current

JEE Main 2024 · 4 April · Evening Shift · Physics · Magnetic Effects of Current

Two parallel long current carrying wire separated by a distance 2 r...

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 _____

Two parallel long current carrying wire separated by a distance 2 r are shown in the figure. The ratio of magnetic

Correct answer

0

Step-by-step solution

\begin{aligned} & \mathrm{B}_{\mathrm{A}}=\frac{\mu_0 \mathrm{i}}{2 \pi \mathrm{r}}+\frac{\mu_0(2 \mathrm{i})}{2 \pi(3 \mathrm{r})}=\frac{5 \mu_0 \mathrm{i}}{6 \pi \mathrm{r}} \\ & \mathrm{B}_{\mathrm{C}}=\frac{\mu_0(2 \mathrm{i})}{2 \pi \mathrm{r}}+\frac{\mu_0 \mathrm{i}}{2 \pi(3 \mathrm{r})}=\frac{7 \mu_0 \mathrm{i}}{6 \pi \mathrm{r}} \\ & \therefore \frac{\mathrm{B}_{\mathrm{A}}}{\mathrm{B}_{\mathrm{C}}}=\frac{5}{7} \\ & \therefore \mathrm{x}=5\end{aligned}

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