Problem 4: Three capacitors are connected as shown in the figure. C1 = 7.8 µF, C2 = 9.2 µF, C3 = 2.6 µF. The voltage on the battery is 12 V. C3 C2 Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. Expression : C12 = Select from the variables below to write your expression. Note that all variables may not be required. а, В, ду, ө, с, С1, С12, С2, Сз, d, g, h, m, P, t Part (b) Using the above result, express the total capacitance in terms of C12 and C3. Expression : C = Select from the variables below to write your expression. Note that all variables may not be required. a, B, AV, 0, C, C1, C12, C2, C3, d, g, h, m, P, t Part (c) Calculate the numerical value of the total capacitance in µF. Numeric : Anumeric value is expected and not an expression. C = Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference AV across the battery. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, AV, 0, C, C1, C12, C2, C3, d, g, h, m, P, t Part (e) Calculate the numerical value of Q in uc. Numeric : A numeric value is expected and not an expression. Q = Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference AV. Expression : U = Select from the variables below to write your expression. Note that all variables may not be required. a, B, AV, 0, a, C, C1, C12, C2, C3, d, g, h, j, k, m, P, S, t, V Part (g) Calculate the numerical value of U in µJ. Numeric : Anumeric value is expected and not an expression. U =

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Chapter1: Units, Trigonometry. And Vectors
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Problem 4: Three capacitors are connected as shown in the figure. C1 =
7.8 µF, C2 = 9.2 µF, C3 = 2.6 µF. The voltage on the battery is 12 V.
Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem
statement.
Expression :
C12 =
Select from the variables below to write your expression. Note that all variables may not be required.
а, В, ДV, ө, с, С, С12, С2, Сз, d, g, h, m, P, t
Part (b) Using the above result, express the total capacitance in terms of C12 and C3.
Expression :
C =
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, AV, 0, C, C1, C12, C2, C3, d, g, h, m, P, t
Part (c) Calculate the numerical value of the total capacitance in µF.
Numeric : A numeric value is expected and not an expression.
C =
Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference AV across the
battery.
Expression :
Q =
Select from the variables below to write your expression. Note that all variables may not be required.
а, В, ДV, ө, С, С1, С12, С2, Сз, d, g, h, m, P, t
Part (e) Calculate the numerical value of Q in µC.
Numeric : A numeric value is expected and not an expression.
Q =
Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference AV.
Expression :
U =
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, AV, 0, a, C, C1, C12, C2, C3, d, g, h, j, k, m, P, S, t, V
Part (g) Calculate the numerical value of U in uJ.
Numeric : A numeric value is expected and not an expression.
U =
Transcribed Image Text:Problem 4: Three capacitors are connected as shown in the figure. C1 = 7.8 µF, C2 = 9.2 µF, C3 = 2.6 µF. The voltage on the battery is 12 V. Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. Expression : C12 = Select from the variables below to write your expression. Note that all variables may not be required. а, В, ДV, ө, с, С, С12, С2, Сз, d, g, h, m, P, t Part (b) Using the above result, express the total capacitance in terms of C12 and C3. Expression : C = Select from the variables below to write your expression. Note that all variables may not be required. a, B, AV, 0, C, C1, C12, C2, C3, d, g, h, m, P, t Part (c) Calculate the numerical value of the total capacitance in µF. Numeric : A numeric value is expected and not an expression. C = Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference AV across the battery. Expression : Q = Select from the variables below to write your expression. Note that all variables may not be required. а, В, ДV, ө, С, С1, С12, С2, Сз, d, g, h, m, P, t Part (e) Calculate the numerical value of Q in µC. Numeric : A numeric value is expected and not an expression. Q = Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference AV. Expression : U = Select from the variables below to write your expression. Note that all variables may not be required. a, B, AV, 0, a, C, C1, C12, C2, C3, d, g, h, j, k, m, P, S, t, V Part (g) Calculate the numerical value of U in uJ. Numeric : A numeric value is expected and not an expression. U =
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