First slide

Magnetic field due to a current carrying circular ring

Question

The earth's magnetic field at a given point is $0 .5 \times 10^{- 5} Wb / m^{2} .$ This field is to be annulled by magnetic induction at the centre of a circular conducting loop of radius 5 .0 cm. The current required to be flown in the loop is nearly

Moderate

A

0.2 A
B

0.4 A
C

4 A
D

40 A

Solution

Magnetic field at the centre of circular loop B = $\frac{μ_{0}}{4 π} \frac{2 πi}{r} = B \Rightarrow 10^{- 7} \times \frac{2 \times 3.14 \times i}{. 05} = 0.5 \times 10^{- 5} \Rightarrow i = 0.4 A$

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