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A magnetic field of 5xx10^(-5) T is prod...

A magnetic field of `5xx10^(-5)` T is produced at a perpendicular distance of `0.2` m from a long straight wire carrying electric current. If the permeability of free space is `4 pi xx 10^(-7)T m//A,` the current passing through the wire in A is

A

45

B

40

C

50

D

30

Text Solution

Verified by Experts

The correct Answer is:
C
Given,
Magnetic field, `B =5 10 ^(-5)T`
Perpenedicular distance, `r = 0.2m`
Permeability of free space, `mu_(0) = 4pi xx 10 ^(-7) Tm//A`
The equation for magnetic field produced by a wire is given by.
`B = (mu_(0))/(2pi) xx I/r`
` 5xx 10 ^(-5) (4pi xx 10 &(-7))/(2pi) xx (I)/(0.2)`
`I = (5xx 10 ^(-5) xx0.2)/(2xx 10 ^(-7))`
`=0.5 xx 10 ^(2)`
`therefore I = 50A`
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