A 30 μF capacitor is connected to a 150 V, 60 Hz AC supply. The RMS value of current in the circuit is17 A1.7 A1.7 mA1.7 μA
Question
A 30 μF capacitor is connected to a 150 V, 60 Hz AC supply. The RMS value of current in the circuit is17 A1.7 A1.7 mA1.7 μA
Solution
The question seems to be asking for the RMS (Root Mean Square) value of the current in an AC circuit with a capacitor. The formula to calculate the current in an AC circuit with a capacitor is given by:
I = V / Xc
where: I is the current, V is the voltage, and Xc is the capacitive reactance.
The capacitive reactance Xc can be calculated using the formula:
Xc = 1 / (2 * π * f * C)
where: f is the frequency, and C is the capacitance.
Let's plug in the given values:
Xc = 1 / (2 * π * 60 Hz * 30 μF) = 88.42 ohms
Now, we can calculate the current:
I = 150 V / 88.42 ohms = 1.7 A
So, the RMS value of the current in the circuit is 1.7 A.
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