"the circuit"
(noun)
Networks of allied Vaudeville theaters, which allowed cohesive booking and contracting of acts.
Examples of "the circuit" in the following topics:
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Introduction and Importance
- Kirchhoff's circuit laws are two equations that address the conservation of energy and charge in the context of electrical circuits.
- Kirchhoff's laws are extremely important to the analysis of closed circuits.
- However, using Kirchhoff's rules, one can analyze the circuit to determine the parameters of this circuit using the values of the resistors (R1, R2, R3, r1 and r2).
- Thus, although this law can be applied to circuits containing resistors and capacitors (as well as other circuit elements), it can only be used as an approximation to the behavior of the circuit when a changing current and therefore magnetic field are involved.
- Describe relationship between the Kirchhoff's circuit laws and the energy and charge in the electrical circuits
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Power
- Power delivered to an RLC series AC circuit is dissipated by the resistance in the circuit, and is given as $P_{avg} = I_{rms} V_{rms} cos\phi$.
- The fact that source voltage and current are out of phase affects the power delivered to the circuit.
- The circuit is analogous to the wheel of a car driven over a corrugated road, as seen in .
- The forced but damped motion of the wheel on the car spring is analogous to an RLC series AC circuit.
- Calculate the power delivered to an RLC-series AC circuit given the current and the voltage
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Impedance
- Impedance is the measure of the opposition that a circuit presents to the passage of a current when a voltage is applied.
- Rather than solving the differential equation relating to circuits that contain resistors and capacitors, we can imagine all sources in the circuit are complex exponentials having the same frequency.
- For an RC circuit in , the AC source driving the circuit is given as:
- In the case of the circuit in , to find the complex impedance of the RC circuit, we add the impedance of the two components, just as with two resistors in series: $Z = R + \frac{ 1}{j \omega C}$.
- Express the relationship between the impedance, the resistance, and the capacitance of a series RC circuit in a form of equation
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Different Types of Currents
- If the sources are constant (DC) sources, the result is a DC circuit.
- If a capacitor or inductor is added to a DC circuit, the resulting circuit is not, strictly speaking, a DC circuit.
- This solution gives the circuit voltages and currents when the circuit is in DC steady state.
- The electric potential and current may also be labeled at various points of the circuit .
- The current i flowing through the circuit is given by Ohm's law.
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Resisitors in Series
- The total resistance in the circuit with resistors connected in series is equal to the sum of the individual resistances.
- Most circuits have more than one component, called a resistor, that limits the flow of charge in the circuit.
- The total resistance in the circuit is equal to the sum of the individual resistances, since the current has to pass through each resistor in sequence through the circuit.
- In a simple circuit consisting of one 1.5V battery and one light bulb, the light bulb would have a voltage drop of 1.5V across it.
- Calculate the total resistance in the circuit with resistors connected in series
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RLC Series Circuit: At Large and Small Frequencies; Phasor Diagram
- Response of an RLC circuit depends on the driving frequency—at large enough frequencies, inductive (capacitive) term dominates.
- From the equation, we studied resonance conditions for the circuit.
- We also learned the phase relationships among the voltages across resistor, capacitor and inductor: when a sinusoidal voltage is applied, the current lags the voltage by a 90º phase in a circuit with an inductor, while the current leads the voltage by 90∘ in a circuit with a capacitor.
- When $Z \approx X_L$, the circuit is almost equivalent to an AC circuit with just an inductor.
- When $Z \approx X_C$, the circuit is almost equivalent to an AC circuit with just a capacitor.
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Resistors in AC Circuits
- It is the steady state of a constant-voltage circuit.
- If the source varies periodically, particularly sinusoidally, the circuit is known as an alternating-current circuit.
- where I is the current, V is the voltage, and R is the resistance of the circuit.
- where V0 is the peak voltage and $\nu$ is the frequency in hertz, the current in the circuit is given as:
- To find the average power consumed by this circuit, we need to take the time average of the function.
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Combination Circuits
- Reducing those parallel resistors into a single R value allows us to visualize the circuit in a more simplified manner.
- Reducing those highlights that the last two are in series, and thus can be reduced to a single resistance value for the entire circuit.
- Combination circuit can be transformed into a series circuit, based on an understanding of the equivalent resistance of parallel branches to a combination circuit.
- A series circuit can be used to determine the total resistance of the circuit.
- In this combination circuit, the circuit can be broken up into a series component and a parallel component.
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Current and Voltage Measurements in Circuits
- The electrical current is directly proportional to the voltage applied and inversely related to the resistance in a circuit.
- An electrical circuit is a type of network that has a closed loop, which provides a return path for the current.
- Using this equation, we can calculate the current, voltage, or resistance in a given circuit.
- For example, if we had a 1.5V battery that was connected in a closed circuit to a lightbulb with a resistance of 5Ω, what is the current flowing through the circuit?
- Describe the relationship between the electrical current, voltage, and resistance in a circuit
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Resonance in RLC Circuits
- To study the resonance in an RLC circuit, as illustrated below, we can see how the circuit behaves as a function of the frequency of the driving voltage source.
- $\nu_0$ is the resonant frequency of an RLC series circuit.
- This is also the natural frequency at which the circuit would oscillate if not driven by the voltage source.
- The peak is lower and broader for the higher-resistance circuit.
- An RLC series circuit with an AC voltage source. f is the frequency of the source.