Question

Two point charges \( +q \) and \( -q \) are placed at a distance \( d \) apart. The electric potential at the midpoint will be

• A. \( 0 \)
• B. \( \frac{q}{4\pi \epsilon_0 d} \)
• C. \( \frac{q}{2 \pi \epsilon_0 d} \)
• D. \( \frac{q}{8 \pi \epsilon_0 d} \)

Hint:

When two equal but opposite charges are placed symmetrically, the electric potential at the midpoint will be zero.

Answer 1

The Correct Option is A

Step 1: Electric potential due to point charges.
The electric potential at a point due to a point charge is given by: \[ V = \frac{kq}{r} \] where \( k \) is Coulomb's constant, \( q \) is the charge, and \( r \) is the distance from the charge.

Step 2: Calculate the potential at the midpoint.
At the midpoint between the charges \( +q \) and \( -q \), the potentials due to both charges cancel each other out, resulting in a net potential of zero.