What is the formula for calculating the total power in a series RLC circuit?

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Question: What is the formula for calculating the total power in a series RLC circuit?

Options:

Correct Answer: P = VI cos(φ)

Solution:

The total power in a series RLC circuit is given by P = VI cos(φ), where φ is the phase angle.

What is the formula for calculating the total power in a series RLC circuit?

What is the formula for calculating the total power in a series RLC circuit?

Step 1: Understand that a series RLC circuit consists of a resistor (R), inductor (L), and capacitor (C) connected in a single loop.
Step 2: Identify the voltage (V) across the entire circuit. This is the total voltage supplied by the source.
Step 3: Determine the current (I) flowing through the circuit. In a series circuit, the same current flows through all components.
Step 4: Find the phase angle (φ) between the voltage and the current. This angle indicates how much the current lags or leads the voltage.
Step 5: Use the formula for total power (P) in the circuit, which is P = VI cos(φ). Here, 'cos(φ)' accounts for the phase difference.
Step 6: Calculate the total power by plugging in the values of V, I, and cos(φ) into the formula.

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