(10%) Problem 10: Three capacitors are connected as shown in the figure. C ,-6.8
ID: 1658151 • Letter: #
Question
(10%) Problem 10: Three capacitors are connected as shown in the figure. C ,-6.8 F. C,-11.6 F, C3 = 1.8 F. The voltage on the battery is 12 V. C1 C3 C2 14% Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. 14% Part (b) Using the above result, express the total capacitance in terms of C12 and C3- 14% Part (c) Calculate the numerical value of the total capacitance in LF. - 14% Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference V across the battery. - 14% Part (e) Calculate the numerical value of Q in pC 14% Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference 14% Part (g) Calculate the numerical value of U inExplanation / Answer
a] C12= C1+C2
b] C = C12*C3 /[C12+C3]
c] C = (6.8+11.6)*1.8/[6.8+11.6+1.8]
= 1.64 uF
d] Q = C delta V
e] Q = 1.64*12 uC
= 19.7 uC
f] Energy U= 0.5 C ( delta V )^2
g] Energy U= 0.5*1.64*12^2 uJ
= 118.1 uJ
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.