Work Done by Magnetic Force – Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

Assertion (A): Work done by magnetic force on any moving charge is zero. Reason (R): Magnetic force is perpendicular to velocity.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Force Acting on Moving Charges. Understanding the underlying formula is key to arriving at the correct answer below:

The magnetic force \( \vec{F}_m = q(\vec{v} \times \vec{B}) \) is always perpendicular to the velocity \( \vec{v} \). Work done by a force is \( W = \vec{F} \cdot \vec{d} \). Since \( \vec{F}_m \perp \vec{v} \), the work done by magnetic force is zero. Thus, both A and R are true, and R correctly explains A.

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