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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Magnetic Effects of Current

Olympiad workbook · NSEP · Magnetic Effects of Current

Current I flows through a long thin walled metallic cylinder of...

Current I flows through a long thin walled metallic cylinder of radius R with a thin longitudinal slit of width

\xi(\xi \ll R)

running parallel to the axis of the cylinder. The magnetic induction

\mathbf{B}

produced at any point on the axis of the cylinder is approximately

Options

A $\mathbf{B}=$ zero
B $\mathbf{B}=\frac{\mu_0 I}{2 \pi R^2}$
C $\mathbf{B}=\frac{\mu_0 I \xi}{4 \pi^2 R^2}$
D $\mathbf{B}=\frac{\mu_0 I \xi}{2 \pi R^2}$

Correct answer

C. $\mathbf{B}=\frac{\mu_0 I \xi}{4 \pi^2 R^2}$

Step-by-step solution

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