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PhysicsHardMulti concept2019 · 08 Apr Shift 2

Q22.Two magnetic dipoles X and Y are placed at a separation d , with their axes perpendicular to each other. The dipole moment of Y is twice that of X . A particle of charge q is passing through their mid-point P , at angle θ = 45o with the horizontal line, as shown in figure. What would be the magnitude of force on the particle at that instant? ( d is much larger than the dimension of the dipole) μ0 M × q𝑣 (1) 0 (2) √2 4π d 3 2 μ0 M μ0 2M (3) × q𝑣 (4) × q𝑣 4π d 3 4π d 3 2 2

What This Question Tests

This multi-concept question involves finding the magnetic field at a point due to two perpendicular magnetic dipoles and then calculating the Lorentz force on a charged particle moving through that combined field.

Concepts Tested

Magnetic field of a magnetic dipoleLorentz forceMagnetic dipole moment

Formulas Used

B_axial = (μ₀ / 4π) * (2M / r^3)

B_equatorial = (μ₀ / 4π) * (M / r^3)

F = q(v x B)

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