Question

ABCD is a rectangle. At corners B, C, and D of the rectangle are placed charges \( +10 \times 10^{-12}C \), \( -20 \times 10^{-12}C \), and \( +10 \times 10^{-12}C \) respectively. Calculate the potential at the fourth corner. The side AB = 4 cm and BC = 3 cm

• A. 1.65V
• B. 0.165V
• C. 16.5V
• D. 2.65V

Hint:

To calculate potential at a point due to multiple charges, sum the potentials from each charge individually.

Answer 1

The Correct Option is A

Step 1: Formula for potential due to a point charge.
The electric potential at a point due to a charge \( q \) is given by: \[ V = \frac{kq}{r} \] where \( k \) is Coulomb's constant and \( r \) is the distance from the charge to the point. The potential at the fourth corner will be the sum of potentials from all the charges.

Step 2: Conclusion.
Using the distances and charges, we find that the total potential is 1.65V. Thus, the correct answer is option (A).

Final Answer: \[ \boxed{\text{1.65V}} \]