What would be the effect on the potential difference across a capacitor if a she

Question

What would be the effect on the potential difference across a capacitor if a sheet of glass is inserted between the capacitor plates? Assume there was air (dielectric constant 1) initially, then replaced with glass for which the dielectric constant is =3.5. Also, assume that the charge remains the same.

A. The new potential difference is 0.29 times the initial one.

B. The new potential difference is 3.5 times the initial one.

C. The new potential difference is 0.035 times the initial one.

D. The new potential difference is 0.71 times the initial one.

Explanation / Answer

lnitial capacitance,

Co = Aeo / d

After inserting glass between the capacitor plates,

C = kAeo / d = 3.5C

lnitial potential difference ,

Vo = Q / Co

New potential difference,

V = Q / C

V = Q / 3.5C

V = 0.29*Vo

(A) The new potential difference is 0.29 times the initial one.

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