Deriving equations for voltage and current as functions of time in an RC circuit where the capacitor is being charged.

Deriving equations for voltage and current as functions of time in an RC circuit where the capacitor is being discharged.

Graphs of the voltage and current in an RC circuit with a square wave power supply.

Electrical power of batteries, resistors, and capacitors; energy balance in a circuit.

Charging and discharging capacitors; charge as a function of time; time constants and exponential decay.

Charging and discharging capacitors; differential equation and solution; time constant; examples.

Finds charge, current and voltage during charging and discharging of a capacitor by applying Kirchhoff's loop rule; also discusses the time constant.

Capacitors in series and parallel circuits; calculating equivalent capacitance.

Find the current and charge as a function of time in a two-loop RC circuit with a switch, as a capacitor is charged and discharged. Solution is included after problem.

Find the currents in a multiloop RC circuit after the circuit is closed and determine the final charge on the capacitor.

A long time after a switch is closed, what is the current through a multiloop RC circuit.

Find the initial current through a resistor and capacitor in a two-loop RC circuit.

Find the equivalent capacitance and the charges on each capacitor for a combination of capacitors in different switch configurations.

Conceptual questions about equivalent resistance, charge in an RC circuit, and potential across a battery.

Finding charge as a function of time, as well as maximum power delivered.

Solution (PDF)^#

Stored energy and potential difference after inserting a dielectric.

Solution (PDF)^#

6-part problem; potentials of capacitor plates and voltages in circuit before and after connection; doubled capacitor distance.

Solution (PDF)^#

Calculating rate of change of E-field, and B-field of charging capacitor.

Solution (PDF)^#

4-part problem; finding charge and electric field for each capacitor in circuit.

Solution (PDF)

5-part problem; differential equation and solution; current, energy, and heat at time t₁>0.

Solution (PDF)