# Simple alternating current circuits

### Explanation of question 13

A 4 F capacitor is connected in series with an 8F capacitor. The combination is connected across a 12V AC supply. The p.d. across the 4 F and 8 F capacitor respectively will be

1. 4V, 8V
2. 6V, 6V
3. 8V, 4V
4. 9V, 3V

The answer is :- 3 The voltage will divide across the two capacitors according to their reactances. The The 4 F capacitor will have twice the reactance of the 8 F capacitor. For any particular current taken, the p.d. across the higher reactance will be twice that across the lower reactance, thus when the total p.d. = 12V, the p.d. across 4 F capacitor = 8 V and the p.d. across the 8 F capacitor = 4 V

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