EF and PE of Spherical Shell | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

332

Pages:

2
Author:

Jabin F.

Calculate E.F and poth of an uniformly Change spherical shell of Total charge 'q' and Radius R a120 Calculate its pothth Energy. Onsurface \[\sigma=\frac{q}{4\pi R^{2}}\] Solm 4TTR R Gaussian sphere. Inside (rR qenc = q \[\vec{E}_{out}=\frac{q}{4\pi r^{2}\epsilon_{0}}\hat{r}\] ditt Cat Ein/r=r=0 [E_{buut}\int_{\gamma=R}=\frac{Q}{4~\pi\epsilon_{c}R^{2}}] ow discontinuity because of σ charge density. Vin (Inside) Vin = ∫(q/4πε₀r²)dr = ∫₀^R qdr/(4πε₀r²) Vin = q/(4πε₀R) Vcenter|r=0 = q/(4πε₀R) Vsurface|r=R = q/(4πε₀R) Vout (r>R) Vout = ∫(q/4πε₀r²)dr = ∫R^∞ qdr/(4πε₀r²) Vout = -q/(4πε₀r) Vin|r=R = q/(4πε₀R) | Vout|r=R = q/(4πε₀R) pot'n is continuous across the boundary. and E is discontinuous across the boundary.

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