Maxwell’s equations are:
|or, in macroscopic form:|
|In lih materials with
The method of images
Consider a charge q at z = d on the z - axis.
Assume the z = 0 plane is a grounded conducting plane. Then placing an image charge
q’ = -q at d’ = -d on the z-axis makes the z = 0 plane an equipotential with Φ = 0.
The electrostatic field and potential above the plane are the same as the field and potential due to the charge and its image charge.
Assume V(t), I(t), emf(t) are all proportional to exp(iωt). Assume idealized circuit elements. Define the impedance Z = V/I. Then
Kirchhoff’s rules for filamentary circuits: For each loop ∑nVn
= 0 for each
node ∑nIn =0.
Any two-terminal network of passive elements is equivalent to an effective impedance Zeff
Thévenin equivalent circuits: Any two terminal network can be replaced by a generator emfeff in series with an impedance Zeff.
Example Problems: (Solutions)