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Read the given statements and mark the c...

Read the given statements and mark the correct option.
Statement 1 : The magnetic field is uniform inside a current carrying solenoid.
Statement 2 : The net charge in a current carrying conductor is zero.

A

Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.

B

Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.

C

Statement 1 is true but statement 2 is false.

D

Both statements 1 and 2 are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate the two statements provided: **Statement 1:** The magnetic field is uniform inside a current-carrying solenoid. **Statement 2:** The net charge in a current-carrying conductor is zero. ### Step-by-Step Solution: 1. **Evaluate Statement 1:** - A solenoid is a long coil of wire that generates a magnetic field when an electric current passes through it. - Inside a long solenoid, the magnetic field lines are parallel and evenly spaced, which indicates that the magnetic field is uniform. - The formula for the magnetic field inside a solenoid is given by \( B = \mu_0 n I \), where: - \( B \) is the magnetic field, - \( \mu_0 \) is the permeability of free space, - \( n \) is the number of turns per unit length, - \( I \) is the current. - Since this formula does not vary with position inside the solenoid, we conclude that Statement 1 is **True**. 2. **Evaluate Statement 2:** - In a current-carrying conductor, the flow of electric current is due to the movement of charge carriers (usually electrons). - While the conductor has moving charges, it does not accumulate a net charge. This is because the number of positive charges (atomic nuclei) is equal to the number of negative charges (electrons) in the conductor. - Therefore, the net charge in a current-carrying conductor remains zero. - Thus, Statement 2 is also **True**. ### Conclusion: Both statements are true. ### Final Answer: - **Both Statement 1 and Statement 2 are correct.** ---
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