Capacitor 2 has half the capacitance and twice the potential difference as capacitor 1.
What is the ratio (Uc)1/(Uc)2?
I have no idea how to go about starting this problem.
Thanks in advance!
What is the ratio (Uc)1/(Uc)2?
I have no idea how to go about starting this problem.
Thanks in advance!
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I assume by U, it means the potential energy stored in the electric field of the capacitor.
The formula for that is: (1/2) C V^2
(http://hyperphysics.phy-astr.gsu.edu/hba…
So if C1 = C with potential V, then
C2 = 0.5 C, with potential 2V
U1 = (1/2) C V^2
U2 = (1/2) (1/2) C (2V)^2
U2 = (1/2) (1/2) C 4 V^2
U2 = 2 (1/2) C V^2
U2 = 2 U1
So the ratio U(C1) / U(C2) is 1/2.
The formula for that is: (1/2) C V^2
(http://hyperphysics.phy-astr.gsu.edu/hba…
So if C1 = C with potential V, then
C2 = 0.5 C, with potential 2V
U1 = (1/2) C V^2
U2 = (1/2) (1/2) C (2V)^2
U2 = (1/2) (1/2) C 4 V^2
U2 = 2 (1/2) C V^2
U2 = 2 U1
So the ratio U(C1) / U(C2) is 1/2.