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The line charge density of a conductor...

The line charge density of a conductor

A

is inversely proportional to the length of conductor.

B

is directly proportional to the length of conductor.

C

does not depend on length.

D

none of the above.

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The correct Answer is:
To solve the question regarding the line charge density of a conductor, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Line Charge Density**: - Line charge density (λ) is defined as the amount of charge (Q) per unit length (L) of the conductor. Mathematically, it is expressed as: \[ \lambda = \frac{Q}{L} \] 2. **Analyzing the Relationship**: - From the formula, we can see that line charge density is directly related to the total charge (Q) and inversely related to the length (L) of the conductor. This means: - If the charge (Q) is kept constant and the length (L) increases, the line charge density (λ) will decrease. - Conversely, if the length (L) decreases, the line charge density (λ) will increase. 3. **Conclusion**: - Therefore, we conclude that the line charge density is inversely proportional to the length of the conductor when the total charge is constant. 4. **Selecting the Correct Option**: - Based on the analysis, the correct option from the given choices is: - **Inversely proportional to the length of the conductor**. ### Final Answer: The line charge density of a conductor is inversely proportional to the length of the conductor. ---
To solve the question regarding the line charge density of a conductor, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Line Charge Density**: - Line charge density (λ) is defined as the amount of charge (Q) per unit length (L) of the conductor. Mathematically, it is expressed as: \[ \lambda = \frac{Q}{L} ...
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