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Calculate the equivalent capacitance of the circuit shown in Figure 3, given C = 2 ext extmu F and V = 20 ext V.
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Step-by-step solution
3 stepsThe image shows a circuit diagram (Figure 3) with several capacitors and a voltage source. Assuming the question asks for the equivalent capacitance of the circuit, we will calculate it step-by-step. All capacitors are given as and the voltage source is .
Calculate the equivalent capacitance for the series combinations.
Capacitors and are in series.
Capacitors and are in series.
Capacitors and are in series.
For two capacitors in series, the equivalent capacitance is given by or .-
Equivalent capacitance of and :
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Equivalent capacitance of and :
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Equivalent capacitance of and :
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Calculate the equivalent capacitance for the parallel combination.
The three equivalent capacitances , , and are in parallel.
For capacitors in parallel, the equivalent capacitance is given by .- Equivalent capacitance of the parallel section:
Calculate the total equivalent capacitance of the circuit.
The capacitor , the parallel combination , and the capacitor are all in series.
For capacitors in series, the equivalent capacitance is given by .- Total equivalent capacitance:
The equivalent capacitance of the circuit is .
If the question also implies finding the total charge stored in the circuit:
The total charge stored in the circuit is given by .The total charge stored in the circuit is .
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