Obtain the Thèvenin equivalent at the terminals, a-b, of the circuit shown in Fig. 6.65. Please note that Thèvenin equivalent circuits do not generally exist for circuits involving capacitors and resistors. This is a special case where the Thèvenin equivalent circuit does exist.

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Accepted Answer

Because this is a totally capacitive circuit, we can combine all the capacitors using the property that capacitors in parallel can be combined by just adding their values and we combine capacitors in series by adding their reciprocals. However, for this circuit we only have the three capacitors in parallel.

3 F + 2 F = 5 F (we need this to be able to calculate the voltage)

[latex]{ C}_{ Th } = { C }_{ eq }[/latex] = 5+5 = 10 F

The voltage will divide equally across the two 5 F capacitors. Therefore, we get:

[latex]{ V}_{ Th }[/latex] = 7.5 V, [latex]{ C}_{ Th }[/latex] = 10 F

Question 6.33: Obtain the Thèvenin equivalent at the terminals, a-b, of the...

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