Exploring AC Series Circuits

What is the formula to calculate V effective in an AC circuit?

• V effective = V peak / 2

• V effective = V peak / √2

• V effective = V peak × 2

• V effective = V peak + √2

If the I effective is 5 A and the resistance is 10 ohms, what is the voltage across the resistor?

• 50 V

• 100 V

• 70 V

• 30 V

Define capacitive reactance and provide the formula to calculate it.

• Xc = 2 * π * f * C

• Xc = 1 / (2 * π * f * C)

• Xc = 1 / (f * C)

• Xc = C / (2 * π * f)

How do you find the frequency of an AC circuit if the capacitive reactance is known?

• f = Xc / (2 * π * C)

• f = 1 / (2 * π * Xc * C)

• f = 1 / (Xc * C)

• f = 2 * π * Xc * C

Given a capacitor value of 10 µF, calculate the capacitive reactance at a frequency of 50 Hz.

• 150 ohms

• 600 ohms

• 318.31 ohms

• 75 ohms

What is the formula for inductive reactance?

• X_L = f / (2 * π * L)

• X_L = L / (2 * π * f)

• X_L = 2 * π * L / f

• X_L = 2 * π * f * L

If the inductive reactance is 30 ohms and the frequency is 60 Hz, what is the value of the inductor?

• 0.1 H

• 0.15 H

• 0.0794 H

• 0.05 H

Explain resonance in an RLC series circuit.

• Resonance occurs when the circuit is short-circuited.

• Resonance is achieved by increasing the resistance in the circuit.

• Resonance in an RLC series circuit is the condition where inductive and capacitive reactances are equal, leading to maximum current at the resonant frequency.

• Resonance happens when the voltage is at its minimum level.

What is the condition for resonance in an RLC circuit?

• XL < XC

• XL = XC

• R = 0

• XL > XC

How do you calculate the total impedance in a series RLC circuit?

• Z = √(R² + (X_L - X_C)²)

• Z = R² + X_L² + X_C²

• Z = R / (X_L + X_C)

• Z = R + X_L + X_C