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PhysicsHardMCQ2022 · 27 Jun Shift 2

Q15.Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4 A and 2 A respectively. The conductors are placed along x-axis in X −Y plane. There is a point P located between the conductors (as shown in figure). + m s−1 ; where ˆi & A charge particle of 3π coulomb is passing through the point P with velocity →v= (2ˆi 3ˆj) ˆj represents unit vector along x & yaxis respectively. The force acting on the charge particle is 4π × + N. The value of x is 10−5(−xˆi 2ˆj) (1) 2 (2) 1 (3) 3 (4) −3

What This Question Tests

This multi-concept problem requires calculating the net magnetic field at a point due to two parallel current-carrying wires and then using the Lorentz force formula to find the force on a moving charge particle.

Concepts Tested

Magnetic field due to long straight current-carrying wireForce on a moving charge in a magnetic fieldVector cross product

Formulas Used

B = (μ₀I)/(2πr)

F = q(v × B)

Right-hand thumb rule

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