MAXWELL'S EQUATIONS AND ELECTROMAGNETIC WAVES — Edward Purcell & David Morin
Physics — E&M · rc-circuit-with-a-voltage-source
Problem
A voltage source E0cosωt is connected in series with a resistor R and a capacitor C. Write down the differential equation expressing Kirchhoff's law. Then guess an exponential form for the current, and take the real part of your solution to find the actual current. Determine how the amplitude and phase of the current behave for very large and very small ω, and explain the results physically.