Please check your work, I need this to be correct! will thumb up for correct res
ID: 1636918 • Letter: P
Question
Please check your work, I need this to be correct! will thumb up for correct results!
For the circuit shown in the figure below, (V= 10.3 V) (a) Find the equivalent capacitance between the terminals ______ mu F (b) Find the charge stored on the positively charged plate of each capacitor 0.3 mu F capacitor _____ mu C 1.00 mu F capacitor _____ mu C 0.250 mu F capacitor ______ mu C (c) Find the voltage across each capacitor 0.3 mu F capacitor _____ V 1.00 mu F capacitor ________ V 0.250 mu F capacitor _______ V (d) Find the total stored energy. ________ mu JExplanation / Answer
a)
1 uF and 0.25 uF are in parallel and their combination is given as
Cp = 1 + 0.25 = 1.25 uF
0.30 uF and Cp are in series and their combination is given as
Cs = 0.30 Cp /(0.30 + Cp) = 0.30 x 1.25 /(0.30 + 1.25) = 0.24 uF
so equivalent capacitance = Cs = 0.24 uF
b)
Q = total charge stored in the combination = Cs V = 0.24 x 10.3 = 2.5 uC
Voltage across 0.30 uF is given as
V0.3 = Q/C0.3 = 2.5/0.30 = 8.3 Volts
Vp = Voltage across each of the parallel capacitors = V - V0.3 = 10.3 - 8.3 = 2 Volts
Q1 = charge of capacitor of 1 uF = C1 Vp = 1 x 2 = 2 uC
Q0.25 = charge of capacitor of 0.25 uF = C0.25 Vp = 0.25 x 2 = 0.5 uC
c)
V0.3 = Q0.3/C0.3 = 2.5/0.3 = 8.3 Volts
V1 = V0.25 = V - V0.3 = 10.3 - 8.3 = 2 Volts
d)
Total energy stored is given as
U = (0.5) Cs V2 = (0.5) (0.24 x 10-6) (10.3)2 = 12.7 uJ