What is the formula for the total impedance in a parallel RLC circuit? (2023)

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Question: What is the formula for the total impedance in a parallel RLC circuit? (2023)

Options:

Correct Answer: 1/Z = 1/Z1 + 1/Z2 + 1/Z3

Exam Year: 2023

Solution:

The total impedance in a parallel circuit is given by 1/Z = 1/Z1 + 1/Z2 + 1/Z3.

What is the formula for the total impedance in a parallel RLC circuit? (2023)

What is the formula for the total impedance in a parallel RLC circuit? (2023)

Step 1: Understand that a parallel RLC circuit has three components: a resistor (R), an inductor (L), and a capacitor (C).
Step 2: Each component has its own impedance: Z1 for the resistor, Z2 for the inductor, and Z3 for the capacitor.
Step 3: The formula for total impedance (Z) in a parallel circuit is based on the reciprocal of the individual impedances.
Step 4: Write the formula: 1/Z = 1/Z1 + 1/Z2 + 1/Z3.
Step 5: To find the total impedance (Z), you need to calculate the right side of the equation and then take the reciprocal of that result.

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