Physics Electromagnetism MDCAT 2009
PMDC Verified Question 57 of 58
Force experienced by a moving charge in a magnetic field is:
A
\( F = BA \cos(\theta) \)
B
\( F = \mu_0 NI \)
C
\( F = q(\mathbf{v} \times \mathbf{B}) \)
D
\( F = I(\mathbf{L} \times \mathbf{B}) \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( F = q(\mathbf{v} \times \mathbf{B}) \)
Concept:

The magnetic Lorentz force on a point charge is determined by the vector cross product of its velocity and the external magnetic field.

Formula:

$$ \mathbf{F} = q(\mathbf{v} \times \mathbf{B}) $$

Solution:

  • Recall the standard expression for magnetic force on a single moving charge \( q \) with velocity \( \mathbf{v} \) in field \( \mathbf{B} \).


  • Match the formulation to the options provided. Option C correctly represents this vector cross product.


Why other options are incorrect:

Option A is the formula for magnetic flux. Option B is the magnetic field of a solenoid. Option D is the magnetic force on a current-carrying conductor, not a single point charge.

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