Question

Estimate the electric fields ${\overrightarrow{E}}_1$and ${\overrightarrow{E}}_2$ at points 1 and 2 in Figure Q26.4. Don’t forget that$\overrightarrow{E}$ is a vector.

Short answer

The electric field remains constant while the potential increases uniformly.

Step-by-step solution

: Given information and formula used   

Given :

Theory used :

Electric Field is given by : $E=\frac{V}{r}$

Estimating E→1 and E→2

(a) As per the figure,

V = 5 volts, r=0.5m

So, $E=\frac{5}{0.5}=\boxed{\mathbf{10}\mathbf{}\mathbf{}\mathit{V}\mathbf{/}\mathit{m}}$(direction : Leftwards )

(b) As per the figure,

V = 35 volts, r = 3.5m

So, $E=\frac{35}{3.5}=\boxed{\mathbf{10}\mathbf{}\mathit{V}\mathbf{/}\mathit{m}}$(direction : Rightwards )