Question

Consider a region of space with volume 48 mm^3. Suppose the energy stored in the electric field of that particular region of space is 50 J. What is the average electric field strength in this region?

Answer 1

Answer:

Electric field, $E=1.53\times 10^{10}\ N/C$

Explanation:

It is given that,

Volume of the space, $V=48\ mm^3=4.8\times 10^{-8}\ m^3$

The energy stored in the electric field, U = 50 J

We know that the stored energy in the electric field per unit volume of given by :

$\dfrac{U}{V}=\dfrac{1}{2}\epsilon_o E^2$

E is the electric field in this region.

$E=\sqrt{\dfrac{2U}{\epsilon_o V}}$

$E=\sqrt{\dfrac{2\times 50}{8.85\times 10^{-12}\times 4.8\times 10^{-8}}}$

$E=1.53\times 10^{10}\ N/C$

Hence, this is the required solution.