Asked by Kaitlin Ptacek on Apr 24, 2024
Verified
In an RC parallel circuit, ET = 120 V, R = 420 Ω , and XC = 330 Ω . What is Z?
A) 140 Ω
B) 230 Ω
C) 259.62 Ω
D) 534.13 Ω
RC Parallel Circuit
A circuit configuration where a resistor (R) and a capacitor (C) are connected alongside each other and share the same two nodes, resulting in a specific impedance.
R
In electrical engineering, symbolically represents resistance, the property of a material that opposes the flow of electric current, measured in ohms (Ω).
Z
Often represents impedance in electrical circuits, a measure of opposition to AC including both resistance and reactance.
- Comprehend the process of determining impedance (Z) within a parallel RC circuit.
Verified Answer
PS
Preston Smith4 days ago
Final Answer :
C
Explanation :
The total impedance (Z) in an RC parallel circuit is found using the formula Z=R2+(XC)2Z = \sqrt{R^2 + (X_C)^2}Z=R2+(XC)2 , where RRR is the resistance and XCX_CXC is the capacitive reactance. Plugging in the given values, Z=4202+3302=176400+108900=285300≈259.62ΩZ = \sqrt{420^2 + 330^2} = \sqrt{176400 + 108900} = \sqrt{285300} ≈ 259.62 \OmegaZ=4202+3302=176400+108900=285300≈259.62Ω .
Learning Objectives
- Comprehend the process of determining impedance (Z) within a parallel RC circuit.