Three capacitors are connected as shown in the figure. C1 = 7.8 μF, C2 = 7.4 μF, C3 = 1.1 μF. The voltage on the battery is 12 V. a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. C12 = C1 + C2 ✔ Correct! 14% Part (b) Using the above result, express the total capacitance in terms of C12 and C3. C = ( C3 C12 )/( C3 + C12 ) ✔ Correct! 14% Part (c) Calculate the numerical value of the total capacitance in μF. C = 1.026 ✔ Correct! 14% Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery. Q = C ΔV ✔ Correct! 14% Part (e) Calculate the numerical value of Q in μC. Q = 12.312 (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. U= 14% Part (g) Calculate the numerical value of U in μJ. Need help with part f and g.
Three capacitors are connected as shown in the figure. C1 = 7.8 μF, C2 = 7.4 μF, C3 = 1.1 μF. The voltage on the battery is 12 V. a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. C12 = C1 + C2 ✔ Correct! 14% Part (b) Using the above result, express the total capacitance in terms of C12 and C3. C = ( C3 C12 )/( C3 + C12 ) ✔ Correct! 14% Part (c) Calculate the numerical value of the total capacitance in μF. C = 1.026 ✔ Correct! 14% Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery. Q = C ΔV ✔ Correct! 14% Part (e) Calculate the numerical value of Q in μC. Q = 12.312 (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. U= 14% Part (g) Calculate the numerical value of U in μJ. Need help with part f and g.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 44P: Three capacitors are connected to a battery as shown in Figure P16.44. Their capacitances are C1 =...
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Three capacitors are connected as shown in the figure. C1 = 7.8 μF, C2 = 7.4 μF, C3 = 1.1 μF. The voltage on the battery is 12 V.
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a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement.
C12 = C1 + C2 ✔ Correct! |
14% Part (b) Using the above result, express the total capacitance in terms of C12 and C3.
C = ( C3 C12 )/( C3 + C12 ) ✔ Correct! |
14% Part (c) Calculate the numerical value of the total capacitance in μF.
C = 1.026 ✔ Correct! |
14% Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery.
Q = C ΔV ✔ Correct! |
14% Part (e) Calculate the numerical value of Q in μC.
Q = 12.312 |
(f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. |
U= |
14% Part (g) Calculate the numerical value of U in μJ. |
Need help with part f and g. Thank you
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