# Compound alternating current circuits

### Explanation of question 9

A capacitor and resistor are connected in series across an AC supply. The p.d. across the resistor is 5V, and across the capacitor, 12V. The supply voltage will be

1. 17V
2. 13V
3. 10V
4. 8V

The answer is :- 2 The 5V and 12V cannot be added together directly, but must be added vectorially thus

V2 = V12 + V22 = 25 + 144 = 169

V = 13V

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