Energy stored in electric field region is given by
[tex]U = \frac{1}{2} \epsilon_0 E^2 Volume[/tex]
here we know that
U = 50 pJ
[tex]\epsilon_0 = 8.85*10^{-12}[/tex]
[tex]Volume = 0.02 * 0.02 * 0.02 = 8 * 10^{-6}[/tex]
Now we can use above formula to find the electric field strength
[tex]50 * 10^{-12} = \frac{1}{2} * 8.85 * 10^{-12} * E^2 * 8 * 10^{-6}[/tex]
by solving this equation we will have
[tex]E = 1.19 * 10^3 N/C[/tex]
The electric field strength is 1188.46 N/C.
Electric field strength is the force per unit charge in a given region of space.
Relationship between electric field strength and energy stored is given as;
[tex]U = \frac{1}{2}\varepsilon E^2 V[/tex]
where;
The electric field strength is calculated as follows;
[tex]E =\sqrt{ \frac{2U}{\varepsilon V} }\\\\E = \sqrt{ \frac{2\times 50 \times 10^{-12} }{8.85 \times 10^{-12} \times (0.02)^3 } }\\\\E= 1188.46 \ N/C[/tex]
Learn more about electric field strength here: https://brainly.com/question/14529872
