An air-gap parallel plate capacitor of capacitance C 0 = 20 nF is connected to a

Question

An air-gap parallel plate capacitor of capacitance C0 = 20 nF is connected to a battery with voltage V = 12 V. While the capacitor remains connected to the battery, we insert a dielectric (? = 2.6) into the gap of the capacitor, filling one half of the volume as shown below.

What is Qfinal, the charge on the capacitor in the final situation? Qfinal =

An air-gap parallel plate capacitor of capacitance C0 = 20 nF is connected to a battery with voltage V = 12 V. While the capacitor remains connected to the battery, we insert a dielectric (? = 2.6) into the gap of the capacitor, filling one half of the volume as shown below. What is Qfinal, the charge on the capacitor in the final situation? Qfinal =

Explanation / Answer

THE TWO CAPACITANCES ARE IN PARALLEL SO

Ceq=Co/2+KCo/2=Co/2(1+k)

so Qfinal=Ceq*v=Co/2(1+k)*V

=20*10^-9*3.66*12/2=439.2 nC

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