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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