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Statement (A) : Moving charges produce n...

Statement (A) : Moving charges produce not only an electric field but also magnetic field in space
Statement (B) : The force is exerted by a magnetic field on moving charges or on a current carrying conductor only but not on stationary charges

A

A is a true B is false

B

A is false B is true

C

A and B are true

D

A and B is false

Text Solution

AI Generated Solution

The correct Answer is:
To determine the truth of the statements provided in the question, we can analyze each statement step by step. ### Step 1: Analyze Statement A **Statement A:** "Moving charges produce not only an electric field but also a magnetic field in space." - **Explanation:** According to electromagnetic theory, a charge at rest produces only an electric field. However, when a charge is in motion, it generates both an electric field and a magnetic field. This is a fundamental principle in physics, particularly in the study of electromagnetism. - **Conclusion:** Statement A is **True**. ### Step 2: Analyze Statement B **Statement B:** "The force is exerted by a magnetic field on moving charges or on a current-carrying conductor only but not on stationary charges." - **Explanation:** The force exerted by a magnetic field on a charge is given by the Lorentz force law, which states that the force \( \mathbf{F} \) on a charge \( Q \) moving with velocity \( \mathbf{v} \) in a magnetic field \( \mathbf{B} \) is given by: \[ \mathbf{F} = Q(\mathbf{v} \times \mathbf{B}) \] If the charge is stationary, its velocity \( \mathbf{v} \) is zero. Therefore, the force \( \mathbf{F} \) will also be zero. This means that a magnetic field does not exert a force on stationary charges. - **Conclusion:** Statement B is **True**. ### Final Conclusion Both statements A and B are true. Therefore, the correct answer is that both statements are true.
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