Answer :
These three metallic hollow spheres form two spherical capacitors, which are connected in series.
Solving them individually, for 1) and 2)
For a spherical capacitor formed by two spheres of radii ro > ri is given by
C =
Where,
C: Capacitance
ri: inner radius
ro: outer radius
k: relative permittivity or dielectric constant
∈: permittivity of space
Similarly,
And
Now, the capacitors are connected in series, net capacitance for series connected capacitors is given by –
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