Asked by Sofia Mateeva on Jun 21, 2024
Verified
In a parallel circuit, ET = 240 V, R = 330 Ω , and XL = 420 Ω . What is Z?
A) 120 Ω
B) 170 Ω
C) 259.62 Ω
D) 534.13 Ω
Impedance
The total resistance to the flow of alternating current (AC) in a circuit, comprising both resistive and reactive components, measured in ohms.
Inductive Reactance
The opposition that an inductor presents to alternating current, due to the inductor's inductance, measured in ohms.
- Comprehend the principles of impedance (Z) and the methodology for its determination in parallel circuits.
Verified Answer
ZK
Zybrea KnightJun 27, 2024
Final Answer :
C
Explanation :
In a parallel circuit, the total impedance (Z) can be calculated using the formula for the impedance of resistors (R) and inductors (X_L) in parallel: Z=R2+XL2Z = \sqrt{R^2 + X_L^2}Z=R2+XL2 . Given R = 330 Ω and X_L = 420 Ω, Z=3302+4202=108900+176400=285300≈259.62ΩZ = \sqrt{330^2 + 420^2} = \sqrt{108900 + 176400} = \sqrt{285300} ≈ 259.62 ΩZ=3302+4202=108900+176400=285300≈259.62Ω .
Learning Objectives
- Comprehend the principles of impedance (Z) and the methodology for its determination in parallel circuits.