A parallel-plate capacitor, with air between the plates, is connected across a v
ID: 1371553 • Letter: A
Question
A parallel-plate capacitor, with air between the plates, is connected across a voltage source. This source establishes a potential difference between the plates by placing charge of magnitude 3.64 ×10 -6 C on each plate. The space between the plates is then filled with a dielectric material, with a dielectric constant of 7.74. What must the magnitude of the charge on each capacitor plate now be, to produce the same potential difference between the plates as before?
2.82×105 C
3.22×105 C
1.03×104 C
3.64×106 C
4.7×107 C
Explanation / Answer
let the voltage source be of V volts
chagre = V*C=3.64*10^(-6) F
if dielectri of 7.74 is kept Cnew=C*7.74=7.74C
for same potential V .let charge be Q
Q=Cnew*V
Q=7.74*3.64*10^(-6) =2.81736*10^(-5) F
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