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Question: The magnetic induction at a point P which is distant 4 cm from a long current carrying wire is \(10...

The magnetic induction at a point P which is distant 4 cm from a long current carrying wire is 10−810 ^ { - 8 } Tesla . The field of induction at a distance 12 cm from the same current would be

A

3.33×10−93.33 \times 10 ^ { - 9 } Tesla

B
C

3×10−33 \times 10 ^ { - 3 } Tesla

D

9×10−29 \times 10 ^ { - 2 } Tesla

Answer

3.33×10−93.33 \times 10 ^ { - 9 } Tesla

Explanation

Solution

B=μ04π⋅2irB = \frac { \mu _ { 0 } } { 4 \pi } \cdot \frac { 2 i } { r } ⇒ B1B2=r2r1\frac { B _ { 1 } } { B _ { 2 } } = \frac { r _ { 2 } } { r _ { 1 } } ⇒ 10−8B2=124\frac { 10 ^ { - 8 } } { B _ { 2 } } = \frac { 12 } { 4 }

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