Series Circuit

A series circuit is an electrical circuit in which components connect along a single continuous path, making it a fundamental model for analyzing current and voltage in physics. When a source drives charge through the closed path, the same current flows through every component, while the total voltage divides among them according to their resistances; the equivalent resistance equals the sum of individual resistances. Series circuits help students apply Ohm’s law and Kirchhoff’s voltage law, predict power distribution, and understand how adding resistance changes circuit behavior. They also illustrate why one open component can interrupt current throughout the entire circuit.

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JoVE Core - Electrical Engineering

Series R—L Circuit Transients

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2024

In a series resistor-inductor (R-L) circuit, closing the switch at the start of the time period simulates a three-phase short circuit, a fault condition where all three phases of an unloaded synchronous machine are short-circuited. When there is no fault impedance and no initial current, the initial voltage is determined by the phase angle of the source voltage. Using Kirchhoff's Voltage Law (KVL) to analyze this circuit helps determine the total asymmetrical fault current, which consists of...

RLC Series Circuits

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2026

An RLC series circuit comprises an inductor, a resistor, and a charged capacitor connected in series. When the circuit is closed, the capacitor begins to discharge through the resistor and inductor by transferring energy from the electric field to the magnetic field. Here, the resistor connected to the circuit causes energy losses; therefore, on the complete discharge of the capacitor, the magnetic field energy acquired by the inductor is less than the original electric field energy of the...

RLC Series Circuits: Impedance

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2023

When current flow is opposed in a DC or AC circuit, it is referred to as resistance or impedance, respectively. Impedance plays a key role in determining the performance of AC circuits. It is represented by Z, which is a combination of resistance and reactance, and depends upon the angular frequency, measured in ohms. Thus, the magnitude of the impedance is given by the following equation, and the phase angle is given by the following equation. If the inductive reactance in an RLC circuit is...

RLC Series Circuit: Problem-Solving

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2023

Consider an AC generator with a frequency of 50 hertz and a voltage of 120 volts. The AC generator is connected to an RLC series circuit with a 20-ohms resistor, a 0.2-henry inductor, and a 0.05-farad capacitor. Determine the impedance, current amplitude, and phase difference between the generator's current and emf. To solve the problem, first, determine the known and unknown quantities in the problem. Recalling the reactance equation for the inductor and capacitor and substituting the values,...

Education

JoVE Core - Electrical Engineering
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Series RLC Circuit without Source

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2024

Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a resistor, inductor, and capacitor, operating independently of external energy sources. Their initiation hinges upon utilizing the initial energy stored within the capacitor and inductor to instigate their functionality. Their mathematical equation, a second-order differential equation, sets these circuits apart. This equation captures how the...

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