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Three infinitely long wires, each carrying a current 1A, 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 A. `(mu_(0))/(4pi)(hatj+hatk)`B. `(mu_(0))/(4pi)(hatj-hatk)`C. `(mu_(0))/(8pi)(-hatj+hatk)`D. `(mu_(0))/(8pi)(hatj+hatk)` |
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Answer» Correct Answer - C The magnetic field due to wire placed along `x`-axis will be zero. The point under consideration is semi finitite position of the wires placed along `y`-axis and `z`-axis. Magnetic field due to wire placed along `y`-axis `vec(B)_(y)=(mu_(0)I)/(4pir) (hatK)` Magnetic field due to wire placed along `z`-axis `vec(B)_(z)=(muI)/(4pir) (-hatj)` Hence net magnetic field `vec(B)=(mu_(0)I)/(2pir) (hatk-hatj)` After subtituting the values we get `vec(B)=(mu_(0))/(8pi) (hatk-hatj)` |
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