A capacitor stores 10C charge when connected across a
battery. When the gap between the plates is filled with a
dielectric, a charge of 20uC flows through the battery. Find
the dielectric constant of the dielectric.
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Explanation:
The capacitance before filled with dielectric is C=
d
Aϵ
0
The capacitance after filled with dielectric is C
′
=
d
Akϵ
0
=kC
Initial charge, Q=60μC and total charge after filled with dielectric Q
′
=120+60=180μC
Here, Q=CV and Q
′
=C
′
V=kCV
Q
Q
′
=
CV
kCV
k=
Q
Q
′
=
60
180
=3
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