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JEE Main 2019 (8 Apr, Shift 2) · Magnetic Field of Straight Wires

Magnetic Field of Straight Wires question from JEE Main 2019 (8 Apr, Shift 2)

Q58JEE Main 2019 · 8 APR · SHIFT 2Medium

Magnetic Field of Straight Wires

Two very long, straight, and insulated wires are kept at 90° angle from each other in xy-plane as shown in the figure. These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point P will be:

Figure

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Answer: (c)

  1. Wire along x (current +x+x), P at distance dd above it: μ0I2πd\frac{\mu_0 I}{2\pi d} along +z^+\hat{z}.
  2. Wire along y (current +y+y), P at distance dd to its right: μ0I2πd\frac{\mu_0 I}{2\pi d} along −z^-\hat{z}.
  3. Equal and opposite, so B=0B = 0.
  4. So the answer is (c) zero.
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