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Question: A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm dia...

A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The strength of magnetic field far away is

A

Twice the earlier value

B

Half of the earlier value

C

Quarter of its earlier value

D

Unchanged

Answer

Unchanged

Explanation

Solution

The magnetic field is given by B=μ04π2irB = \frac { \mu _ { 0 } } { 4 \pi } \frac { 2 i } { r } .

It is independent of the radius of the wire.