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PhysicsMediumMCQ2019 · 10 Apr Shift 1

Q19.Two wires A & B are carrying currents I1 and I2 as shown in the figure. The separation between them is d . A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are: (1) x = ± and x = I2 d (I1−I2) (I1−I2) I1d (2) x = ( I1+I2I1 )d (3) x = ( I1+I2I2 )d and x = ( I1−I2I2 )d (4) x = ( I1−I2I1 )d and x = (I1+I2)I2 d

What This Question Tests

The question requires calculating the magnetic forces exerted by two wires on a third wire and finding positions where these forces cancel out. It involves considering different possible locations for the third wire relative to the first two.

Concepts Tested

Magnetic force on current-carrying wireSuperposition of forcesEquilibrium conditions

Formulas Used

F/L = (μ₀ I₁ I₂) / (2πd)

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