The distance between the points A and B on two equipotential lines with V1=4 V and V2=3.1 V is 3.7 cm. What is the average electric field (in Volt/m) at the midpoint C expressed to one decimal place?

Respuesta :

Answer:

24.32 V/m

Explanation:

We are given that

[tex]V_1=4 V[/tex]

[tex]V_2=3.1 V[/tex]

The distance between the points A and B on two equipotential  lines=d=[tex]x_2-x_1=3.7 cm=3.7\times 10^{-2} m[/tex]

By using [tex]1 cm=10^{-2}m[/tex]

We have to find the average electric field in (volt/m) at the mid-point C expressed to one decimal places.

We know that the electric field=[tex]E=-\frac{dV}{dx}=-\frac{V_2-V_1}{x_2-x_1}[/tex]

Using the formula

Electric field=E=[tex]-\frac{(3.1-4)}{3.7\times 10^{-2}}[/tex]

[tex]E=24.32 V/m[/tex]