Question

An infinite line charge, with coordinates \( x = 1 \) cm and charge density \( \lambda \), produces an electric field at point A at distance r from the line. If the charge on line is \( 10 \mu C \), then what is the electric field at point A?

• A. 2400 N/C
• B. zero
• C. infinity
• D. 2400 V

Hint:

The electric field produced by a line charge decreases with distance.

Answer 1

The Correct Option is A

Step 1: Formula for electric field due to a line charge.
The electric field due to a line charge at a distance \( r \) is given by: \[ E = \frac{\lambda}{2\pi \epsilon_0 r} \] where \( \lambda \) is the charge density and \( \epsilon_0 \) is the permittivity of free space.
Step 2: Calculation.
Substituting the given values, we calculate the electric field at point A.
Final Answer: \[ \boxed{\text{2400 N/C}} \]