Asked by Arghir Mircea on Sep 26, 2024
Verified
A series RL circuit has a resistance of 270 Ω and an inductive reactance of 155 Ω . How many degrees is angle theta ( ∠θ ) ?
A) 4.97 °
B) 5.03 °
C) 10.14 °
D) 29.86 °
Inductive Reactance
Inductive reactance is the opposition that an inductor presents to alternating current, depending on the frequency of the current and the inductance of the component.
- Comprehend the computation and importance of the phase angle in series RL circuits.
Verified Answer
PS
Preston Smithabout 21 hours ago
Final Answer :
D
Explanation :
The angle theta ( ∠θ ) in an RL circuit can be found using the arctan function of the inductive reactance (XL) over the resistance (R), i.e., θ = arctan(XL/R). Plugging in the given values, θ = arctan(155/270). Calculating this gives an angle of approximately 29.86 degrees.
Learning Objectives
- Comprehend the computation and importance of the phase angle in series RL circuits.