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Question

Question: Diagram shows a thick walled hollow pipe with current flowing in the shaded portion between a and b....

Diagram shows a thick walled hollow pipe with current flowing in the shaded portion between a and b. Magnetic field in the region between a and b at a distance r from centre will be

A

Zero

B

μ0I2πr\frac { \mu _ { 0 } I } { 2 \pi r }

C

μ0I2πr\frac { \mu _ { 0 } I } { 2 \pi r }

D

μ0I2πr\frac { \mu _ { 0 } I } { 2 \pi r }

Answer

μ0I2πr\frac { \mu _ { 0 } I } { 2 \pi r }

Explanation

Solution

= µ0Ien B2p r = µ0Ien ¾® {π(b2a2)Iπ(r2a2)I(r2a2)b2a2}\left\{ \begin{array} { c } \pi \left( \mathrm { b } ^ { 2 } - \mathrm { a } ^ { 2 } \right) \ldots \ldots \mathrm { I } \\ \pi \left( \mathrm { r } ^ { 2 } - \mathrm { a } ^ { 2 } \right) \ldots \cdot \frac { \mathrm { I } \left( \mathrm { r } ^ { 2 } - \mathrm { a } ^ { 2 } \right) } { \mathrm { b } ^ { 2 } - \mathrm { a } ^ { 2 } } \end{array} \right\}

B =