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Lorentz force is :...

Lorentz force is :

A

the vector sum of electrostatic and magnetic force acting on a moving charged particle .

B

the vector sum of gravitational and magnetic force acting on a moving charged particle.

C

electrostatic force acting on a charged particle

D

magnetic force acting on a moving charged particle.

Text Solution

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The correct Answer is:
To solve the question regarding the Lorentz force, we need to understand its definition and the components that contribute to it. ### Step-by-Step Solution: 1. **Understanding the Lorentz Force**: The Lorentz force is the total force experienced by a charged particle moving in electric and magnetic fields. It combines the effects of both fields. 2. **Components of the Lorentz Force**: - The force due to the electric field (\( \vec{E} \)) is given by: \[ \vec{F}_E = q \vec{E} \] where \( q \) is the charge of the particle. - The force due to the magnetic field (\( \vec{B} \)) is given by: \[ \vec{F}_B = q (\vec{v} \times \vec{B}) \] where \( \vec{v} \) is the velocity of the charged particle and \( \times \) denotes the cross product. 3. **Combining the Forces**: The total Lorentz force (\( \vec{F} \)) acting on the charged particle is the vector sum of the electric and magnetic forces: \[ \vec{F} = \vec{F}_E + \vec{F}_B = q \vec{E} + q (\vec{v} \times \vec{B}) \] 4. **Identifying the Correct Option**: From the options provided: - Option 1 states that the Lorentz force is the vector sum of the electrostatic and magnetic force acting on a moving charged particle. This is consistent with our derived expression for the Lorentz force. - Other options either mention gravitational force or only one of the forces (electrostatic or magnetic), which do not encapsulate the complete definition of the Lorentz force. 5. **Conclusion**: Therefore, the correct answer is: \[ \text{The Lorentz force is the vector sum of electrostatic and magnetic force acting on a moving charged particle.} \] ### Final Answer: The correct option is **Option 1**. ---
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