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In these Lecture Slides, the Lecturer has put emphasis on the following key points : Electrostatic Energy, Capacitance, Definition, Electrostatic Potential, Energy, Analogy With Springs, Constant Charge, Constant Voltage, Capacitors, Demonstration
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Chapter 23: Electrostatic Energy & Capacitance nd
Capacitors
Capacitors
The Parallel Plate Capacitor (standard example)
Energy stored in a Capacitor dU = dq! V +dq V = 0
+2 dq -2 dq V' = 2 dq C U = dq! _V
= dq! q C
U = dq! V ( q )
q 2 2 C Energy stored in a Capacitor U =
2 2 C
1 2
2
V ( q ) q
Energy stored in a Capacitor U = q 2 2 C
2 2 C
1 2
q 2 2 C
1 2 q C q = 1 2 qV Just like energy stored in a spring
Capacitor with dielectric between plates Linear materials: E 0 = 1 +! e
! V = ! V 0 " e = 1 " e Qd A # o Isolated capacitor: ! C eff = Q " V = # e $ o A d = # e C Capacitance increases:
