COMEDK · Physics · 17. Electrostatics
Two charges 1C and 2C are placed at coordinates (0,3) and (4,3) respectively in an XY plane. What is the work done to put a 30C charge at the origin of the coordinate system?
- A \(198 \times 10^9\ J\)
- B \(1.98 \times 10^9\ J\)
- C \(3.98 \times 10^9\ J\)
- D \(19.8 \times 10^9\ J\)
Answer & Solution
Correct Answer
(A) \(198 \times 10^9\ J\)
Step-by-step Solution
Detailed explanation
The potential at the origin due to the charges \(q_1\) and \(q_2\) is given by \(V = V_1 + V_2\). The distance of the first charge \(q_1 = 1 \text{ C}\) at \((0, 3)\) from the origin is \(r_1 = 3 \text{ m}\). The distance of the second charge \(q_2 = 2 \text{ C}\) at \((4, 3)\)…
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