Question

How far from a 10 µC point charge will the potential be 1000 V?

a.
10 m

b.
90 m

c.
80 m

d.
60 m

Answer 1

• Point charge (Q) = 10 μC = 10 × 10⁻⁶ C

• Potential (V) = 1000 V

• Distance (r) = ?

`\implies V = (KQ)/(r) \\`

`\implies r= (KQ)/(V)`

`\implies r= \frac{9 * {10}^(9) * 10 * {10}^( - 6) }{1000} \\`

`\implies r= \frac{90 * {10}^(3) }{1000} \\`

`\implies r= \frac{90 * {10}^(3) }{ {10}^(3) } \\`

`\implies r= 90 * {10}^(3) * {10}^( - 3) \\`

`\implies\bf r= 90\:m \\`

Hence,the option B) 90 m is the correct answer.