W9_parallel_resonance.eps
Week 3: Potential Energy and Potential 119 and Er=ke ( 4 πρ 3 ) r= ρr 3 ǫ 0 r < R for the exterior and interior of the sphere ...
120 Week 3: Potential Energy and Potential r k Qe R R V(r) Figure 34: The potential produced by a uniform sphere of charge both ...
Week 3: Potential Energy and Potential 121 depending on thedetailsof how the charge we assemble is distributed. For a conducting ...
122 Week 3: Potential Energy and Potential Example 3.4.7: Potential of an Infinite Line of Charge r r λ 0 Figure 35: An “infinit ...
Week 3: Potential Energy and Potential 123 z σ Figure 36: An “infinite” plane of uniform charge densityσ. Potential of an Infini ...
124 Week 3: Potential Energy and Potential Note that this doesn’t mean that the potential of the conductor iszero, only that it ...
Week 3: Potential Energy and Potential 125 Now, however, we compute theradial field at the surfaceof the two conductors. It is: ...
126 Week 3: Potential Energy and Potential −q strong (point−charge−like) field! glow (corona) weak field at sides E +Q ground Fi ...
Week 3: Potential Energy and Potential 127 Homework for Week Problem 1. Physics Concepts Make this week’s physics concepts summa ...
128 Week 3: Potential Energy and Potential Problem 4. Find by direct integration the potential on the axis of a thin disk of cha ...
Week 4: Capacitance 129 Problem 9. Suppose you have a solid sphere with a radiusRand a uniform charge densityρ. Find the potenti ...
130 Week 4: Capacitance ...
Week 4: Capacitance Conductorsstore chargeand as they do so, theirpotential(difference)increasesrelative to ground. If we arran ...
132 Week 4: Capacitance Energy stored in a capacitor: U=^1 2 QV=^1 2 CV^2 =^1 2 Q^2 C (202) where the first form is the simple ...
Week 4: Capacitance 133 4.1: Capacitance In the previous chapter we noted thatconductors in electrostatic equilibrium are equipo ...
134 Week 4: Capacitance whereV is the potential difference across the arrangement as a function of the common chargeQ used to cr ...
Week 4: Capacitance 135 a) Compute the electric field at all points in space, but in particular in between the plates, using a m ...
136 Week 4: Capacitance At the edges of the plate, the field “bulges” out from between the plates and forms curved field lines t ...
Week 4: Capacitance 137 This is negative because we integrated from inside out (in the direction of the field). We could just as ...
138 Week 4: Capacitance is the potential difference between the plates. Then thenextfork full of charge that he moves over, he w ...
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