A parallel plate capacitor with plate separation d is connected
to a battery. The capacitor is fully charged to Q Coulombs and a
voltage of V. (C is the capacitance and U is the stored energy.)
Answer the following questions regarding the capacitor charged by a
battery. For each statement below, select True or False.
True False After being disconnected from the battery,
inserting a dielectric with κ will increase C.
True False After being disconnected from the battery,
increasing d increases V.
True False After being disconnected from the battery,
decreasing d increases C.
True False After being disconnected from the battery,
inserting a dielectric with κ will increase U.
True False With the capacitor connected to the battery,
decreasing d increases U.
True False After being disconnected from the battery,
inserting a dielectric with κ will decrease V.
Please make it clear which ones are true and which ones are false.
Solution)
We know, C = Q/V
After being disconnected from the battery, inserting a dielectric with κ will increase C.(True)
After being disconnected from the battery, increasing d increases V.(since increasing d decreasing C, V increases TRUE)
After being disconnected from the battery, decreasing d increases C.True
After being disconnected from the battery, inserting a dielectric with κ will increase U. True
With the capacitor connected to the battery, decreasing d increases U. (U = 1/2 (C)(V^2) TRUE)
After being disconnected from the battery, inserting a dielectric
with κ will decrease V. (FALSE C increases, V decreases)
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Good luck!:)
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