Three infinitely long wires, each carrying a current 1 A, are placed such that one end of each wire is at the origin, and, one of these wires is along x-axis, the other along y-axis and the third along z-axis. Magnetic induction at point −2 m, 0, 0 due to the system of these wires can be expressed as:
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a
μ04π j^+k^
b
μ04π j^-k^
c
μ08π -j^+k^
d
μ08π j^+k^
answer is C.
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Detailed Solution
The magnetic field due to wire placed along x-axis will be zero. The point under consideration is semi finite position of the wires placed along y-axis and z-axis.Magnetic field due to wire placed along y-axis,B→y=μ0I4πr k^Magnetic field due to wire placed along z-axis,B→z=μI4πr −j^Hence, net magnetic field, B→=μ0I2πr k^−j^After substituting the values, we get,B→=μ08π k^−j^T