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Ch 32: AC Circuits
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoKnight Calc 5th EditionCh 32: AC CircuitsProblema 68a
Capitolo 32, Problema 68a

FIGURE CP32.68 shows voltage and current graphs for a series RLC circuit. What is the resistance R?

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Step 1: Observe the voltage and current graphs provided in the figure. The voltage graph (purple) and current graph (green) are sinusoidal and appear to be in phase, which indicates that the circuit is purely resistive.
Step 2: Recall Ohm's Law for a resistive circuit, which states that the resistance R can be calculated using the formula: R=V/I, where V is the peak voltage and I is the peak current.
Step 3: From the voltage graph, identify the peak voltage. The graph shows that the maximum voltage is 10 V.
Step 4: From the current graph, identify the peak current. The graph shows that the maximum current is 2 A.
Step 5: Substitute the peak voltage and peak current values into the formula for resistance: R=10/2. Simplify the expression to find the resistance.

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

RLC Circuit

An RLC circuit is an electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in series or parallel. The behavior of the circuit is characterized by its impedance, which combines the effects of resistance, inductance, and capacitance. Understanding the RLC circuit is crucial for analyzing how voltage and current interact over time, especially in alternating current (AC) systems.
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Percorso guidato
09:40
LRC Circuits

Phase Difference

In AC circuits, voltage and current can oscillate out of phase, meaning they reach their maximum and minimum values at different times. The phase difference is measured in degrees or radians and affects the power factor of the circuit. In the context of the given graphs, analyzing the phase difference between the voltage and current waveforms is essential for determining the resistance and overall behavior of the RLC circuit.
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Percorso guidato
08:59
Phase Constant of a Wave Function

Ohm's Law

Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. This fundamental principle is expressed as V = IR. In the context of the RLC circuit, applying Ohm's Law helps in calculating the resistance by analyzing the relationship between the voltage and current waveforms shown in the graphs.
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Percorso guidato
03:07
Resistance and Ohm's Law
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