Magnetic Effects & Magnetism

JEE Main level, single correct, medium

81 of 276

Question 81 of 276

Two very long, straight, and insulated wires are kept at 90o{90}^{o} angle from each other in xy−planexy-plane as shown in figure.

These wires carry currents of equal magnitude II , whose direction are shown in the figure. The net magnetic field at point PP will be:

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Answer: (D) Zero

Magnetic field due to wire along x-axis:
B1=μ0I2πdz^{B}_{1}=\dfrac{{\mu }_{0}I}{2\pi d}\hat{z}
Magnetic field due to wire along z-axis:
B2=μ0I2πd(−z^){B}_{2}=\dfrac{{\mu }_{0}I}{2\pi d}(-\hat{z})
B⃗net=B⃗1+B⃗2=0{\vec{B}}_{net}={\vec{B}}_{1}+{\vec{B}}_{2}=0

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