First slide
Magnetic field due to a straight current carrying wire
Question

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 2m,0,   0 due to the system of these wires can be 
expressed as:

Moderate
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,

By=μ0I4πr  k^

Magnetic field due to wire placed along z-axis,

Bz=μI4πr  j^

Hence, net magnetic field, B=μ0I2πr  k^j^

After substituting the values, we get,

B=μ08π  k^j^T

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