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Question: At a distance of 10 cm from a long straight wire carrying current, the magnetic field is 0.04 T. At ...

At a distance of 10 cm from a long straight wire carrying current, the magnetic field is 0.04 T. At the distance of 40 cm, the magnetic field will be

A

0.01 T

B

0.02 T

C

0.08 T

D

0.16 T

Answer

0.01 T

Explanation

Solution

B1rB1B2=r2r10.04B2=4010B2=0.01 TB \propto \frac { 1 } { r } \Rightarrow \frac { B _ { 1 } } { B _ { 2 } } = \frac { r _ { 2 } } { r _ { 1 } } \Rightarrow \frac { 0.04 } { B _ { 2 } } = \frac { 40 } { 10 } \Rightarrow B _ { 2 } = 0.01 \mathrm {~T}