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Question

# Two similar coils of radius R and number of turns N are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and I√3 respectively. Then the resultant magnetic induction at the centre will be :(in Wb/m2)

A
μ0NI2R
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B
μ0NIR
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C
3μ0NI2R
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D
5μ0NI2R
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Solution

## The correct option is B μ0NIRMagnetic induction at the center of coil, B=μoNI2R (along the axis)For coil 1, B1=μoNI2R^xFor coil 2, B2=μoN√3I2R^yResultant magnetic induction BT=μoNI2R√1+√32BT=μoNIR

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