Two identical capacitors are connected in parallel to an ac generator that has a frequency of 745 hz and produces a voltage of 24 v. the current in the circuit is 0.15 a. what is the capacitance of each capacitor?

In an ac-circuit with capacitors, the Ohm's law can be rewritten as

where V is the voltage, I the current and Xc the capacitive reactance.
From this, we can find the value of the reactance for our circuit:


Then, the reactance is related to the equivalent capacitance  of the circuit by

Where f=745 Hz is the frequency. Substituting the numbers, we can find :


The two capacitors are connected in parallel, so their equivalent capacitance is 

But we also know that the capacitors are identical, so C1=C2 (let's call it now C), and therefore

From which we find C, the capacitance of each capacitor: