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Question

Question: The magnetic field at the centre of current carrying coil is...

The magnetic field at the centre of current carrying coil is

A

μ0ni2r\frac { \mu _ { 0 } n i } { 2 r }

B

μ02πnir\frac { \mu _ { 0 } } { 2 \pi } \frac { n i } { r }

C

μ0ni4r\frac { \mu _ { 0 } n i } { 4 r }

D

μ0ni\mu _ { 0 } n i

Answer

μ0ni2r\frac { \mu _ { 0 } n i } { 2 r }

Explanation

Solution

Magnetic field at the centre of current carrying coil is

B=μ04π2πnir=μ0ni2rB = \frac { \mu _ { 0 } } { 4 \pi } \cdot \frac { 2 \pi n i } { r } = \frac { \mu _ { 0 } n i } { 2 r }