Force on moving charges: A particle with charge -5.00 C initially moves at = (1.00 + 7.00 ) m/s. If it encounters a magnetic field find the magnetic force vector on the particle.

Question

Force on moving charges: A particle with charge -5.00 C initially moves at  = (1.00  + 7.00  ) m/s. If it encounters a magnetic field  find the magnetic force vector on the particle.

Quizplus · Accepted Answer

The magnetic force vector on a moving charge is given by F = q(v x B), where q is the charge, v is the velocity vector, and B is the magnetic field vector. In this problem, the particle has a charge of -5.00 C and a velocity vector of (1.00 + 7.00 ) m/s. The magnetic field vector is given as 11eb6b7b_2f79_c1e9_b0cf_bdb7dd6c6e20_TB8274_00. Taking the cross product of the velocity and magnetic field vectors and then multiplying by the charge gives:

F = (-5.00 C) * ((1.00 m/s) x (11eb6b7b_2f79_c1e9_b0cf_bdb7dd6c6e20_TB8274_00)) + (-5.00 C) * ((7.00 m/s) x (11eb6b7b_2f79_c1e9_b0cf_bdb7dd6c6e20_TB8274_00))
F = (-5.00 C) * (-350.0 11eb6b7b_2f79_c1ea_b0cf_c1fb2e33ae05_TB8274_11) + (-5.00 C) * (50.0 11eb6b7b_2f79_c1eb_b0cf_fb250c9c2142_TB8274_11)
F = (1750 11eb6b7b_2f79_c1ec_b0cf_db7e477ec25d_TB8274_11 ) + (-250 11eb6b7b_2f79_c1ed_b0cf_bdd62d94e284_TB8274_11)
F = (-350 11eb6b7b_2f79_c1ee_b0cf_8e9027d0b652_TB8274_11 + 50.0 11eb6b7b_2f79_c1ef_b0cf_dc1f99405a58_TB8274_11)

Therefore, the correct answer is A.

Force on Moving Charges: a Particle with Charge -5