answers and explanations. Thank you A parallel plate capacitor with plate separa
ID: 1880088 • Letter: A
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answers and explanations.
Thank you
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 energý.) Answer the following questions regarding the capacitor charged by à battery. For each statement below, select True or False False After being disconnected from the battery, increasing d increases U TrueWith the capacitor connected to the battery, increasing d decreasesQ TrueAfter being disconnected from the battery, inserting a dielectric with K will decrease U Faise After being disconnected from the battery, inserting a dielectric with k will increase V False After being disconnected from the battery, inserting a dielectric with will decrease C. True After being disconnected from the battery, decreasing d increases C.Explanation / Answer
Energy in a Capacitor in Joules
E = ½CV² = ½QV = ½Q²/C
Q = CV
Parallel plate cap
C = (A/d) in Farads
is 8.854e-12 F/m
is dielectric constant (vacuum = 1)
A and d are area of plate in m² and separation in m
A) with the battery disconnected, Q is fixed. C decreases with increasing d. This decreases C. With both V and C changing, we need to use U = ½Q²/C. Decreasing C increases U. TRUE
B) V is fixed, C goes down. Q = CV. Q goes down. TRUE
C) C goes up, Q is fixed. U = ½Q²/C. U goes down. TRUE
D) FALSE
E) C goes up FALSE
F) C increases TRUE
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