1. A capacitor is formed by two concentric spherical shells of radius a and b that are held at potentials of 0 and Vo, respectively. Half of the space between the shells is filled with a dielectric with permittivity €₁ and the other half with €2. A cross-section of the capacitor is shown in the figure. a. Explain why the radial electric field inside capacitor has no o dependence and no dependence, where is the angle from z-axis and is the azimuthal angle. b. Find the capacitance. Z €1 V₂

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1. A capacitor is formed by two concentric spherical shells of radius a and b that are held at potentials of
0 and Vo, respectively. Half of the space between the shells is filled with a dielectric with permittivity
€₁ and the other half with €2. A cross-section of the capacitor is shown in the figure.
a. Explain why the radial electric field inside capacitor has no o dependence and no dependence,
where is the angle from z-axis and is the azimuthal angle.
b. Find the capacitance.
Z
€1
€2
b
Vo
Transcribed Image Text:1. A capacitor is formed by two concentric spherical shells of radius a and b that are held at potentials of 0 and Vo, respectively. Half of the space between the shells is filled with a dielectric with permittivity €₁ and the other half with €2. A cross-section of the capacitor is shown in the figure. a. Explain why the radial electric field inside capacitor has no o dependence and no dependence, where is the angle from z-axis and is the azimuthal angle. b. Find the capacitance. Z €1 €2 b Vo
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