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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

Asked in JEE Main 8th April 2nd Shift 2019 · Straight wire segments

Figure: Straight wire segments
Answer: (3) Zero

Step-by-step solution

P is at distance d from each wire, so each wire gives (μ₀ I)/(2π d) along ±ẑ.

Upward current in the vertical wire gives -ẑ at P (P is to its right).

Current along +x̂ in the horizontal wire gives +ẑ at P (P is above it).

Equal and opposite, so Bₙₑₜ=0

Why the other options are wrong

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