Question

Figure shows a triangular array of three point charges. The electric potential \( V \) of these source charges at the midpoint \( P \) of the base of the triangle is:

• A. 55 kV
• B. 63 kV
• C. 45 kV
• D. 48 kV

Hint:

The electric potential is a scalar quantity, so you sum the potentials from each charge algebraically.

Answer 1

The Correct Option is B

Step 1: Use the formula for electric potential due to point charges: \[ V = \frac{1}{4 \pi \epsilon_0} \sum \frac{Q_i}{r_i} \] Where \( Q_i \) is the charge and \( r_i \) is the distance from the charge to the point of interest.
Step 2: Calculate the potential due to each charge: For the three charges \( q_1 = 1 \times 10^{-6} \, C \), \( q_2 = 3 \times 10^{-6} \, C \), and \( q_3 = -2 \times 10^{-6} \, C \), at the point \( P \), use the distance from each charge to the midpoint \( P \) and calculate the potential due to each.
Step 3: Final calculation: After summing the potentials, we get: \[ V = 63 \, \text{kV} \]