A paper-filled capacitor is connected to a 2.4-V battery until the capacitor\'s

Question

A paper-filled capacitor is connected to a 2.4-V battery until the capacitor's voltage matches the battery's voltage. The capacitor is then disconnected from the battery. The paper filling is removed, which allows air to fill the capacitor instead. Find the resulting potential difference of the capacitor. The dielectric constants of paper and air are respectively 3.7 and 1.00059 Number While continuing to keep the capacitors plates insulated, an unknown substance is inserted between them. The plates then attain a potential difference that is 0.49 times the original potential difference (when paper filled the capacitor). What is this substance's dielectric constant? Number

Explanation / Answer

a)

Potential difference across capcitor is

V=K*Vo=2.4*3.7

V=8.88 Volts

b)

Given

V' =0.49*Vo =0.63*2.4

V'=1.512 Volts

Dielectric constant

K=V/V' =8.88/1.512

K=5.873

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