Question 621: Electrostats & Capacitance

Question

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at $$P,$$ in the region, is found to vary between the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60o with the direction of the field ?

Accepted Answer

Potential gradient,
$$\Delta $$V = E. d
$$ \Rightarrow $$$$\,\,\,$$ 589.8 $$-$$ 589.0 = (E d)
max
$$ \Rightarrow $$$$\,\,\,$$ (E d)
max
= 0.8
$$	herefore\,\,\,$$ $$\Delta $$V = E d cos$$	heta $$
= 0.8 $$ 	imes $$ cos60
o
= 0.4
$$	herefore\,\,\,$$ Maximum potential on the sphere = 589.4 V

Answer

589.5 V

Answer

589.2 V

Answer

589.4 V

Answer

589.6 V

Electrostats & Capacitance

Choose the correct answer: