Cylindrical Capacitor with Compound Dielectric
Cylindrical Capacitor with Compound Dielectric is shown in Figure given below
Let r1 = radius of the core
r2 = radius of inner dielectric εr1
r3 = radius of outer dielectric εr2
Obviously, there are two capacitors joined in series.
Now
Total capacitance of the cable is
Now for capacitors joined in series, charge is the same.
∴ Q = C1V1 = C2V2
From this relation, V2 and V1 can be found,
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Putting the values of C1 and C2, we get
Voltage gradient is inversely proportional to the permittivity and the inner radius of the insulating material.
Read article – capacitors joined in series
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