Question:
In the presence of magnetic field \( B \) and electric field \( E \), the total force on a moving charged particle is:
In the presence of magnetic field \( B \) and electric field \( E \), the total force on a moving charged particle is:
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The Lorentz force law describes the total force on a charged particle moving in the presence of both electric and magnetic fields.
Updated On: Jan 6, 2026
- \( F = q(E + v \times B) \)
- \( F = q(E + vB) \)
- \( F = q(E + v \times B) + E \)
- \( F = q(E + v \times B) \)
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The Correct Option is C
Solution and Explanation
Step 1: Force on a charged particle in a magnetic and electric field.
The total force on a charged particle in the presence of both electric and magnetic fields is given by the Lorentz force equation: \[ F = q(E + v \times B) \] where: - \( E \) is the electric field, - \( B \) is the magnetic field, - \( v \) is the velocity of the particle, - \( q \) is the charge.
Step 2: Final answer.
Thus, the total force is: \[ F = q(E + v \times B) \]
The total force on a charged particle in the presence of both electric and magnetic fields is given by the Lorentz force equation: \[ F = q(E + v \times B) \] where: - \( E \) is the electric field, - \( B \) is the magnetic field, - \( v \) is the velocity of the particle, - \( q \) is the charge.
Step 2: Final answer.
Thus, the total force is: \[ F = q(E + v \times B) \]
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