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4) An air capacitor with capacitance C is attached to a battery of voltage V. Th

ID: 1865387 • Letter: 4

Question

4) An air capacitor with capacitance C is attached to a battery of voltage V. The capacitor is charged with a total charge 0. The battery is then detached from it. A dielectric of dielectric constant 5 is inserted between the plates of the capacitor without changing their distance d. Which one of the following sentences is correct? A) V decreases, O stays the same, and C increases by a factor of 5 B) V'stays the same, O increases, and C increases by a factor of 1/5 C) V decreases, O decreases, and C' stays the same D) V decreases, Q decreases, and C increases by a factor of 5

Explanation / Answer

If battery is disconnected then the charge on capacitor will remain constant.

after inserting dielectric capacitance will become C' = KC = 5C

so Q = C'V'

CV = 5CV'

V' = V/5.

so V will decrease by a factor of 5.

C will increase by a factor of 5.

Q will remain constant.

so option A is correct.

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