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Q.

A long straight non-conducting string carries a charge density of 40 μC/m. It is pulled along its length at a speed of 300 m/s. What is the magnetic field at a normal distance of 5 mm from the moving string?

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a

4.8  ×  10−7  tesla

b

3.2  ×  10−7  tesla

c

2.5  ×  10−7  tesla

d

5  ×  10−7  tesla

answer is A.

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Detailed Solution

The moving string behaves like a current, thereforei=40  ×  10−6 C/m  300  m/s=1.2 ×  10−2 AThen   B= μ0i2πr  =  2 × 10−7 ×1.2 × 10−2 0.005=  4.8  × 10−7 T
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