A 2.0-C charge moves with a velocity of ( ) m/s and experiences a magnetic force of ( ) N. The x component of the magnetic field is equal to zero. Determine the z component of the magnetic field.
A) −3.0 T
B) +3.0 T
C) +5.0 T
D) −5.0 T
E) +6.0 T

Question

A 2.0-C charge moves with a velocity of (  ) m/s and experiences a magnetic force of (  ) N. The x component of the magnetic field is equal to zero. Determine the z component of the magnetic field.
A) −3.0 T 
B) +3.0 T 
C) +5.0 T 
D) −5.0 T 
E) +6.0 T

Quizplus · Accepted Answer

The magnetic force on a charged particle moving with a velocity v in a magnetic field B is given by:
F = qvB
where q is the charge of the particle.
We are given that the charge on the particle is 2.0 C, the velocity is (11eb6adc_ee07_cd19_b0cf_35c684dde84e_TB8245_11) m/s, and the magnetic force is (11eb6adc_ee07_f42a_b0cf_f7536fbb4868_TB8245_11) N.
Using the above equation and substituting the given values, we get:
(11eb6adc_ee07_f42a_b0cf_f7536fbb4868_TB8245_11) = 2.0 * (11eb6adc_ee07_cd19_b0cf_35c684dde84e_TB8245_11) * Bz
Solving for Bz, we get:
Bz = (11eb6adc_ee07_f42a_b0cf_f7536fbb4868_TB8245_11) / (2.0 * (11eb6adc_ee07_cd19_b0cf_35c684dde84e_TB8245_11))
Bz = (11eb6adc_ee07_f42a_b0cf_f7536fbb4868_TB8245_11) / (2.0 * 11eb6adc_ee07_cd19_b0cf_35c684dde84e_TB8245_11)
Bz = (11eb6adc_ee07_f42a_b0cf_f7536fbb4868_TB8245_11) / (23.0 * 10^-9)
Bz = 5.0 T (approximately)
Therefore, the z component of the magnetic field is +5.0 T.

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