Capacitors

• How to Calculate the Equivalent Capacitance of an Infinite Ladder
  For an infinite ladder of identical capacitors, self-similarity gives an equivalent capacitance of (√5−1)C/2 for the standard topology.
• How to Derive and Solve the Differential Equation for an RC Capacitor
  Derive the RC capacitor differential equation from Kirchhoff’s laws, solve it for charging or discharging, and work through a numerical example.
• Can You Convert a Bullet’s Kinetic Energy into Electricity?
  A bullet’s kinetic energy can in principle become electrical energy, but safely capturing it is difficult and real systems lose much of the energy.
• Can You Change the Capacitance of a Capacitor?
  You can change a capacitor’s capacitance by changing its plate geometry or dielectric; charge and voltage then respond according to its circuit.