Consider two concentric conducting shells of radii R1 and R2 respectively. We will fill the gap between the shells with a linear dielectric material of resistivity p and e. Suppose the inner and outer shell initially carry charges by amounts +Q0 and -Q0 respectively at the initial time t=0. a. Find the current I(t) flowing between the two shells in term of Q0, e, p and t for t>0. b. Find the total energy dissipated via the current during the entire discharging process.

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Consider two concentric conducting shells of
radii R1 and R2 respectively. We will fill the gap
between the shells with a linear dielectric
material of resistivity p and e. Suppose the
inner and outer shell initially carry charges by
amounts +Q0 and -Q0 respectively at the initial
time t=0.
a. Find the current I(t) flowing between the two
shells in term of Q0, e, p and t for t>0.
b. Find the total energy dissipated via the
current during the entire discharging process.
Transcribed Image Text:Consider two concentric conducting shells of radii R1 and R2 respectively. We will fill the gap between the shells with a linear dielectric material of resistivity p and e. Suppose the inner and outer shell initially carry charges by amounts +Q0 and -Q0 respectively at the initial time t=0. a. Find the current I(t) flowing between the two shells in term of Q0, e, p and t for t>0. b. Find the total energy dissipated via the current during the entire discharging process.
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