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A current of 2 A flows through a circul...

A current of 2 A flows through a circular coil of area `4 pi xx 10^(-2)m^(2)` . The magnetic field at the centre of the coil is ________ .

A

`62.8 xx 10^(-6) T`

B

`628 xx 10^(-6) T`

C

`6.28 xx 10^(-6) T`

D

`3.14 xx 10^(-6) T`

Text Solution

Verified by Experts

The correct Answer is:
c
`B = (mu_(0)n I)/(2a) = (4 pi xx 10^(-7) xx 1xx 2)/(2 xx 0.2)`
` = 6.28 xx 10^(-6) T`
` [A " " = pi a^(2) `
` 4cancelpi xx 10^(-2) = cancel pi a^(2)`
`a^(2) " " = 4 xx 10^(-2)`
` a " " = 2 xx 10^(-1) = 0.2 m ]`
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