A capacitor of capacitance 1 μF is filled with two dielectrics of dielectric constants 4 and 6. What is the new capacitance?
10 μF
5 μF
4 μF
7 μF
From the above problem,
C=ϵ0A2d(K1+K2)
=C02(K1+K2)
=12(4+6)=5 μF
A parallel plate capacitor with air between the plates has a capacitance of 10μF. The area of the capacitor is divided into two equal halves and filled with two media having dielectric constants K1=2 and K2=4. The capacitance of the system will be:
A capacitor of 10μF capacitance is charged by a 12V battery. Now the space between the plates of capacitors is filled with a dielectric of dielectric constant K=3 and again it is charged. The magnitude of the charge is :