Concept explainers
Four capacitors are connected as shown in Figure P25.11. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking ΔVab = 15.0 V.
Figure P25.11
(a)
The equivalent capacitance between
Answer to Problem 11P
The equivalent capacitance between
Explanation of Solution
Given information:
The four capacitors are connected in figure given below:
Figure (1)
The capacitors
Formula to calculate the equivalent capacitance when they are connected in series.
Here,
Substitute
The capacitors
Formula to calculate the equivalent capacitance when they are connected in parallel.
Here,
Substitute
The capacitors
Formula to calculate the equivalent capacitance when they are connected in series.
Here,
Substitute
Thus, the equivalent capacitance between
Conclusion:
Therefore, the equivalent capacitance between
(b)
The charge on each capacitor.
Answer to Problem 11P
The charge across capacitors
Explanation of Solution
Given information:
The voltage across
Formula to calculate the total charge in the circuit.
Here,
Substitute
Thus, the total charge in the circuit and the charge through
Formula to calculate the potential drop across
Substitute
Thus, the potential drop across
Formula to calculate the potential drop across
Substitute
Thus, the potential drop across
Formula to calculate the charge across
Substitute
Thus, the charge across
The charge across capacitors
Calculate the charge for the capacitor
Substitute
Thus, the charge across capacitors
Conclusion:
Therefore, the charge across capacitors
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