GATE EE 2026 Set 1 — Question 16
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Electromagnetic Fields → Magnetostatics → Lorentz Force
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Question
A positive point charge with velocity enters a region having electric field and magnetic field . Which one of the following statements is correct for the force on the charge as it enters the region?
Correct answer
(B) The force will be along the electric field but perpendicular to the magnetic field
Solution
The Lorentz force on a charge is given by .
Given:
Calculating the magnetic force component:
Calculating the electric force component:
Total force:
The total force is in the direction of the electric field (along ) and is perpendicular to the magnetic field (along ). Thus, option (B) is correct.
Given:
Calculating the magnetic force component:
Calculating the electric force component:
Total force:
The total force is in the direction of the electric field (along ) and is perpendicular to the magnetic field (along ). Thus, option (B) is correct.
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