# Compound alternating current circuits

### Explanation of question 12

At a given frequency, a series circuit has a resistance of 3, an inductive reactance of 4, and a capacitive reactance of 4. The impedance of the circuit is

1. 3
2. 4
3. 5
4. 7

The answer is :- 1 In a series circuit, where the inductive and capacitive reactances are equal, they cancel to produce a zero impedance circuit. Thus the overall impedance is equal to the DC resistance of the circuit, in this case, 3

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