Question

You've to reproduce this example with detailed explanation.

Explain in your own words. Do it step by step and if any derivation is missing in this example, then please elaborate everything well.

P.s: I = E/r the formula in second line which is miss printed.

Answer 1

The equation E = -VV represents the relationship between electric potential energy and voltage. It shows that the electric potential energy is proportional to the square of the electric field strength.

Step-by-step explanation:

The equation E = -VV represents the relationship between electric potential energy and voltage. The negative sign indicates that the electric potential energy decreases with increasing voltage. In simpler terms, this equation shows that the electric potential energy is proportional to the square of the electric field strength.

To derive this equation, you start with the equation E = -∇V, where E represents the electric field and V represents the electric potential. Then, you substitute the expression for V in terms of the electric potential calculated earlier, and solve for E. This results in the equation E = 2k√(V) where k is a constant.

In the given example, V is equal to -2k volts, so substituting this value into the derived equation gives E = 2k volts, which confirms the relationship between the electric field and voltage.