Three infinitely long thin conductors are joined at the origin of coordinates and lies along the x, y and z axes. A current i flowing along the conductor lying along the negative x-axis divides equally into the other two at the origin. If the magnitude of magnetic field at the point (0, –a, 0) is nμ0i4πa then find the value of ‘n’.
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answer is 00001.11.
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Detailed Solution
The field at P due to current i along x-axis is μ0i4πak^ and due to the current i2 along z-axis is μ0i8πa(−i^).The resultant field at μ0i4πa12+122=58μ0iπa=52μ0i4πa=1.118μ0i4πa