Question 973: Electrostats & Capacitance

Question

A hollow sphere of radius $$0.1 \mathrm{~m}$$ has a charge of $$5 	imes 10^{-8} \mathrm{C}$$. The potential at a distance of 5 $$\mathrm{cm}$$ from the centre of the sphere is $$\left(\frac{1}{4 \pi \varepsilon_0}=9 	imes 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}ight)$$

Accepted Answer

Potential $$V=\frac{Q}{4 \pi \varepsilon_0 r}$$
$$\begin{aligned}
	ext{Given,} Q= & 5 	imes 10^{-8} C_1 \frac{1}{4 \pi \varepsilon_0}=9 	imes 10^9, R=0.1 \mathrm{~m} \
V & =\frac{5 	imes 10^{-8} 	imes 9 	imes 10^9}{0.1} \
& =\frac{450}{0.1}=4500 \mathrm{~V}
\end{aligned}$$

Answer

4000 V

Answer

4500 V

Answer

5000 V

Answer

6000 V

Electrostats & Capacitance

A hollow sphere of radius $0.1 \mathrm{~m} has a charge of 5 \times 10^{-8} \mathrm{C}. The potential at a distance of 5 \mathrm{cm} from the centre of the sphere is \left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)

Choose the correct answer: