Find the current (in amperes) in each inductive circuit. L=1.00 mH, f=125 kHz, E=145 V

Name: Problem 8, Chapter 19: Applied Physics
Uploaded: 2021-06-12T17:16:10-08:00
Duration: 2 min 33 s
Channel: Vishal Gupta
Description: Find the current (in amperes) in each inductive circuit. L=1.00 mH, f=125 kHz, E=145 V

step 1 Hi, in the given problem, self -inductance of the inductor coil is given as L is equal to 1 .00

Find the current (in amperes) in each inductive circuit....

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Key Concepts

Frequency and Its Role in Inductive Circuits

Frequency plays a vital role in the behavior of inductive circuits because the inductive reactance is directly proportional to the frequency. As the frequency increases, the reactance increases as well, which means that for a given voltage, the resulting AC current decreases. This relationship is key to understanding how inductors behave in different AC applications.

Inductive Reactance

Inductive reactance is the opposition that an inductor offers to the change in current in an alternating current circuit. It is calculated using the formula XL = 2?fL, where f is the frequency of the AC source and L is the inductance. This concept is crucial as it determines how much the inductor resists the AC signal, affecting the overall current in the circuit.

AC Ohm’s Law

AC Ohm’s Law extends the familiar relationship between voltage, current, and resistance to circuits where impedance, rather than just resistance, is considered. In a purely inductive circuit, the impedance is solely due to the inductive reactance. The current can be calculated by dividing the applied AC voltage by the inductive reactance, illustrating how frequency and inductance together limit the current.

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