What is the force experienced by a charge q moving with velocity v in a magnetic
Practice Questions
Q1
What is the force experienced by a charge q moving with velocity v in a magnetic field B?
qvB
qvB sin(θ)
qvB cos(θ)
qvB tan(θ)
Questions & Step-by-Step Solutions
What is the force experienced by a charge q moving with velocity v in a magnetic field B?
Step 1: Understand that a charge (q) is a property of matter that causes it to experience a force in a magnetic field.
Step 2: Recognize that when this charge moves with a certain speed (v), it interacts with the magnetic field (B).
Step 3: Learn about the Lorentz force law, which tells us how to calculate the force (F) on the charge.
Step 4: The formula for the force is F = q(v × B), where '×' represents the cross product, meaning we need to consider the direction of both velocity and magnetic field.
Step 5: Alternatively, we can express this force as F = qvB sin(θ), where θ is the angle between the direction of the velocity and the direction of the magnetic field.
Step 6: Remember that the sine function (sin) helps us find the component of the velocity that is perpendicular to the magnetic field, which is what contributes to the force.
