potential due to point charge

Question

What is the electric potential at a distance of 0.3 m from a point charge of +6 nC? (k = 9 × 10⁹ N·m²/C²)

RankGuru · Accepted Answer

1. **Potential Definition**: The work per unit charge to bring a charge from infinity to a point.
   - Formula: $V = k \frac{q}{r}$.
2. **Identify Data**:
   - $k = 9 	imes 10^9$.
   - $q = 6 	imes 10^{-9}$ C.
   - $r = 0.3$ m.
3. **Calculation**:
   - $V = \frac{9 	imes 10^9 	imes 6 	imes 10^{-9}}{0.3} = \frac{54}{0.3}$.
4. **Final Value**: $V = 180 	ext{ Volts}$.

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potential due to point charge

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