Examen de Física II URV 2023 · Juny

Problem (10 points). DC circuit analysis in steady state

In the circuit shown below, determine the following quantities under steady-state conditions:

a)

The current flowing through the $10\ \Omega$ and $2\ \Omega$ resistors:

b)

The electric potential difference between nodes A and B ($V_A - V_B$):

c)

The charge accumulated in each of the capacitors:

Question 1 (5 points). Work, electrostatic potential, and potential energy

Explain the fundamental physical relationship between work, electrostatic potential, and electrostatic potential energy.

Question 2 (5 points). Electric field in and around a conductor in equilibrium

Consider an irregularly shaped conductor carrying a total net charge $Q$ in electrostatic equilibrium.

a)

What is the value of the electric field inside the conductor? Justify your answer.

b)

What is the value of the electric field just outside the surface of the conductor? Provide the mathematical derivation to support your answer.