Asked by Lillian Hernandez on May 11, 2024

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Two inductors are connected in parallel to a 120-V, 60-Hz supply. The values of the inductors are 1.5 H and 2.5 H. The total inductive reactance is _____.

A) 525.5 Ω
B) 533.49 Ω
C) 942.5 Ω
D) 1508 Ω

Parallel

A type of electrical circuit connection wherein components are connected across the same voltage, leading each path to carry a part of the total current.

Inductive Reactance

The opposition offered by an inductor to alternating current, depending on the frequency of the current and the inductance of the coil.

  • Determine the overall inductive reactance for series and parallel setups.
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SA
Sazid AkbarMay 17, 2024
Final Answer :
B
Explanation :
The total inductive reactance (X_total) of inductors in parallel can be found using the formula for parallel reactances: 1/X_total = 1/X_1 + 1/X_2, where X_1 and X_2 are the reactances of the individual inductors. The reactance of an inductor is given by X = 2πfL, where f is the frequency and L is the inductance. For the 1.5 H inductor, X_1 = 2π(60)(1.5) = 565.5 Ω. For the 2.5 H inductor, X_2 = 2π(60)(2.5) = 942.5 Ω. Using the parallel reactance formula: 1/X_total = 1/565.5 + 1/942.5, solving for X_total gives approximately 533.49 Ω.