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Question

Question: If an electron is moving with velocity <img src="https://cdn.pureessence.tech/canvas_43.png?top_left...

If an electron is moving with velocity produces a magnetic field B\vec { B } , then

A

The direction of field will be same as the direction of velocity .

B

The direction of field will be opposite to the direction of velocity.

C

The direction of field will be perpendicular to the direction of velocity .

D

The direction of field does not depend upon the direction of velocity .

Answer

The direction of field will be perpendicular to the direction of velocity .

Explanation

Solution

According to Biot Savart’s law, The magnetic field

B=μ04πq(v×r)r3\vec { B } = \frac { \mu _ { 0 } } { 4 \pi } \cdot \frac { q ( \vec { v } \times \vec { r } ) } { r ^ { 3 } }

The direction of B\overrightarrow { \mathrm { B } } will be along V×r\overrightarrow { \mathrm { V } } \times \overrightarrow { \mathrm { r } } i.e. perpendicular to the plane containing and r\overrightarrow { \mathbf { r } }