A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10–12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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1
Answer:
If C be the air filled capacitance , dielectric filled capacitance becomes C
′
=KC where K is the dielectric constant.
Initial charge , q
i
=CV
i
=500C and final charge q
f
=C
′
V
f
=75KC
As the system is isolated so charge will be constant.
Thus, q
i
=q
f
⇒500C=75KC⇒K=
75
500
=20/3
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Answer:
A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10-12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6? Therefore, the capacitance between the plates is 96 pF.
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