What is the rms current in the circuit?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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In the circuit shown in the figure, the 60-Hz ac source has a voltage amplitude of 120 V, the capacitive reactance is 920 Ohms, the inductive reactance is 290 Ohms, and the resistance is 420 Ohms. What is the rms current in the circuit?

The image shows an RLC series circuit diagram. The components are connected in series with an AC power source. Here is a detailed explanation of the circuit elements:

- **60 Hz AC Source**: The circuit is powered by an alternating current (AC) source with a frequency of 60 Hertz. This frequency is typical for household electrical systems in many countries.

- **Capacitor (C)**: The capacitor is connected in series and is represented by two parallel lines. It stores electrical energy in an electric field.

- **Resistor (R)**: The resistor is displayed as a zigzag symbol. It resists the flow of electric current, converting electrical energy into heat.

- **Inductor (L)**: The inductor is represented by a coiled line. It stores energy in a magnetic field when current flows through it.

This RLC circuit is typically used in applications that require tuning to a particular frequency, like in radio receivers. The combined effects of resistance (R), inductance (L), and capacitance (C) determine the circuit's behavior in response to an AC voltage input.
Transcribed Image Text:The image shows an RLC series circuit diagram. The components are connected in series with an AC power source. Here is a detailed explanation of the circuit elements: - **60 Hz AC Source**: The circuit is powered by an alternating current (AC) source with a frequency of 60 Hertz. This frequency is typical for household electrical systems in many countries. - **Capacitor (C)**: The capacitor is connected in series and is represented by two parallel lines. It stores electrical energy in an electric field. - **Resistor (R)**: The resistor is displayed as a zigzag symbol. It resists the flow of electric current, converting electrical energy into heat. - **Inductor (L)**: The inductor is represented by a coiled line. It stores energy in a magnetic field when current flows through it. This RLC circuit is typically used in applications that require tuning to a particular frequency, like in radio receivers. The combined effects of resistance (R), inductance (L), and capacitance (C) determine the circuit's behavior in response to an AC voltage input.
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