(A) Calculate the potential at point P due to charge 4×10⁻⁷ C locat...

Question

(A) Calculate the potential at point P due to charge 4×10⁻⁷ C located 9 cm away. (B) Obtain the work done in bringing charge 2×10⁻⁹ C from infinity to point P. Does the answer depend on the path?

Accepted Answer

📌 Part (A) — Potential at Point P:

Given:
• Charge, Q = 4 × 10⁻⁷ C
• Distance, r = 9 cm = 0.09 m

Formula: V = kQ / r

Calculation:
V = (9 × 10⁹ × 4 × 10⁻⁷) / 0.09
V = 3600 / 0.09
V = 4 × 10⁴ V

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📌 Part (B) — Work Done:

Given:
• Charge, q = 2 × 10⁻⁹ C
• V at P = 4 × 10⁴ V

Formula: W = qV

Calculation:
W = 2 × 10⁻⁹ × 4 × 10⁴
W = 8 × 10⁻⁵ J

Path Dependence:
→ Work done does NOT depend on the path.
→ Reason: Electric force is conservative — work depends only on initial and final positions.

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