A constant potential difference of 13 V is maintained between the terminals of a

Question

A constant potential difference of 13 V is maintained between the terminals of a 0.30-F parallel-plate air capacitor.

A) A sheet of Mylar is inserted between the plates of the capacitor, completely filling the space between the plates. When this is done, how much additional charge flows onto the positive plate of the capacitor? (Dielectric constant K of Mylar is 3.1 )

B) What is the total induced charge on either face of the Mylar sheet?

C) What effect does the Mylar sheet have on the electric field between the plates? Explain how you can reconcile this with the increase in charge on the plates, which acts to increase the electric field.

Explanation / Answer

a)delta Q= (2.1*3.0*10^-7*13=8.19*10^-6 C

b)Qi=Q(1-(1/k)=(8.19*10^-6)*(1-1/3.1)=5.54*10^-6 C

c) The addition of themylar doesn’t affect the electric field since the inducedcharge cancels the additional charge drawn to the plates.

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