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Assertion : Magnetic field do not work o...

Assertion : Magnetic field do not work on moving charge
Reason : Magnetic field do not provide acceleration to charge.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, let's break down the concepts step by step. ### Step 1: Understanding the Assertion **Assertion**: Magnetic fields do not work on moving charges. - When a charged particle moves through a magnetic field, it experiences a magnetic force given by the equation: \[ \vec{F} = q(\vec{v} \times \vec{B}) \] where \( \vec{F} \) is the magnetic force, \( q \) is the charge, \( \vec{v} \) is the velocity of the charge, and \( \vec{B} \) is the magnetic field. - The key point is that this force is always perpendicular to the velocity of the charge. Since work done is defined as: \[ W = \vec{F} \cdot \vec{d} \] where \( \vec{d} \) is the displacement, and since \( \vec{F} \) is perpendicular to \( \vec{v} \), the work done by the magnetic field is zero. Therefore, the assertion is **correct**. ### Step 2: Understanding the Reason **Reason**: Magnetic fields do not provide acceleration to charges. - While the magnetic field does not do work on the charge, it can still exert a force that changes the direction of the charge's velocity. This change in direction constitutes acceleration. - Acceleration is defined as the rate of change of velocity. Even if the magnitude of the velocity remains constant, a change in direction means there is acceleration: \[ \text{Acceleration} = \frac{\Delta \vec{v}}{\Delta t} \] - Therefore, the reason is **incorrect** because the magnetic field does indeed provide acceleration to the charge by changing its direction. ### Conclusion - The assertion is **true**: Magnetic fields do not work on moving charges. - The reason is **false**: Magnetic fields do provide acceleration to charges by changing their direction. ### Final Answer Assertion is true, but the reason is false.
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