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Question

Physics Question on Moving charges and magnetism

What should be the amount of current through the ring of radius 5cm5\, cm so that field in the centre is with earth?s magnetic field of 7×109Wb/m27 \times 10^{-9} \,Wb/m^2 is

A

0.5 A

B

0.28 A

C

2.8 A

D

none

Answer

none

Explanation

Solution

Given that the field at the centre of the ring B = 7 ? 10 Wb/m We know that B=μ0I2rB=\frac{\mu_{0}I}{2r} I=2Brμ0\Rightarrow I=\frac{2Br}{\mu_{0}} =2×7×109×0.054π×107=\frac{2\times7\times 10^{-9}\times 0.05}{4\pi\times 10^{-7}} =5.57×104=5.57\times 10^{-4} A