Calculate electric potential at a point 1m distance from a point charge of 10–9
coulomb.
Answers
- V = kq/r = 9 x 109 x 10-9/1 = 9 volt
The potential at infinity is chosen to be zero. Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: E=Fq=kQr2. Recall that the electric potential V is a scalar and has no direction, whereas the electric field E is a vector.
Answer:
Electric potential at the required point will be 9 Volts
Explanation:
Given
Magnitude of a Point charge, Q = 10⁻⁹ C
Distance at which Electric potential is to be found, s = 1 m
To find
Electric potential at a distance 's' from the point charge, V =?
Formula required
Formula for the electric potential 'V' produced by a point charge with a charge of magnitude 'Q', on a point at distance 's' from the point charge.
V = k Q / s
[ Where k is a constant with value; k = 9 × 10⁹ Nm² C⁻²]
Calculation:
Using formula
→ V = k Q / s
→ V = ( 9 × 10⁹ ) × ( 10⁻⁹ ) / 1
→ V = 9 × 10⁹ / 10⁹
→ V = 9 Volts
Therefore,
Electric potential at the required point will be 9 Volts.