Asked by Eytan Weisz on May 16, 2024
Verified
An RLC series circuit has R = 42 Ω , XL = 80 Ω , and XC = 24 Ω . What is angle theta?
A) 36.87 °
B) 53.13 °
C) 59.74 °
D) 62.33 °
Angle Theta
A measurement in electrical engineering that often refers to the phase angle difference between the voltage and current waveforms in an AC circuit.
RLC Series Circuit
A circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in series, displaying characteristics of resistance, inductance, and capacitance.
- Comprehend the fundamental concepts of RLC series circuits.
Verified Answer
JM
Jessica McClellanMay 23, 2024
Final Answer :
B
Explanation :
The angle theta in an RLC series circuit can be found using the formula tan(theta) = (XL - XC) / R, where XL is the inductive reactance, XC is the capacitive reactance, and R is the resistance. Here, XL = 80 Ω, XC = 24 Ω, and R = 42 Ω. Thus, tan(theta) = (80 - 24) / 42 = 56 / 42 = 1.3333. Taking the arctan of both sides gives theta ≈ 53.13°.
Learning Objectives
- Comprehend the fundamental concepts of RLC series circuits.