First slide

Electrostatic potential

Question

Equipotential surfaces are shown in figure. Then the electric field strength will be

Moderate

A

$100 {Vm}^{- 1} along X -axis$
B

$100 {Vm}^{- 1} along Y -axis$
C

$200 {Vm}^{- 1} at an angle 120^{\circ} with X -axis$
D

$50 {Vm}^{- 1} at an angle 120^{\circ} with X -axis$

Solution

$Using △ V = - \vec{E} \cdot \vec{r}$
$\begin{array}{l} \Rightarrow |Δ V| = E . Δ r \sin 30^{\circ} \\ \Rightarrow E = \frac{|Δ V|}{Δ r \sin 30^{\circ}} \\ \Rightarrow E = \frac{(20 - 10)}{10 \times 10^{- 2} \sin 30^{\circ}} \\ \Rightarrow E = \frac{10}{10 \times 10^{- 2} (\sin 30^{\circ})} = \frac{10^{2}}{1 / 2} = 200 V / m \end{array}$
Direction of $\vec{E}$ be perpendicular to the equipotential surface and towards the decreasing value of potential i.e. at 120° (90+30)with x-axis.

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App