Skip to main content
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 43b
Capitolo 32, Problema 43b

For an RC circuit, find an expression for the angular frequency at which VR = ½ ε0. What is VC at this frequency?

Guida verificata passo dopo passo
1
Identify the context of the problem: 'VC' likely refers to the voltage across a capacitor in an AC circuit. To solve for VC, we need to understand the circuit configuration and the given frequency.
Recall the formula for the capacitive reactance (Xc), which is given by: Xc=1(2πfC), where f is the frequency and C is the capacitance.
Determine the total impedance (Z) of the circuit if it is a series circuit. For a series R-C circuit, the impedance is given by: Z=R2+Xc2, where R is the resistance and Xc is the capacitive reactance.
Use Ohm's Law to find the current (I) in the circuit: I=VZ, where V is the total voltage supplied to the circuit.
Finally, calculate the voltage across the capacitor (VC) using the formula: VC=IXc. Substitute the values of I and Xc to find VC.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Concetti chiave

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

Voltage (V)

Voltage, or electric potential difference, is the measure of electric potential energy per unit charge between two points in an electric field. It is expressed in volts (V) and indicates how much work is needed to move a charge from one point to another. Understanding voltage is crucial for analyzing circuits and determining how electrical components interact at a given frequency.
Video consigliato:
Percorso guidato
07:14
RMS Current and Voltage

Capacitance (C)

Capacitance is the ability of a system to store an electric charge, defined as the ratio of the electric charge (Q) stored to the voltage (V) across the system. It is measured in farads (F). In the context of AC circuits, capacitance affects how voltage and current behave at different frequencies, influencing the overall impedance of the circuit.
Video consigliato:
Percorso guidato
08:02
Capacitors & Capacitance (Intro)

Frequency (f)

Frequency refers to the number of cycles of a periodic wave that occur in a unit of time, typically measured in hertz (Hz). In electrical circuits, frequency plays a significant role in determining how components like capacitors and inductors respond to alternating current (AC). The relationship between frequency and voltage is essential for understanding the behavior of reactive components in AC circuits.
Video consigliato:
Percorso guidato
05:08
Circumference, Period, and Frequency in UCM
Pratica correlata
Domanda del libro di testo

You have a resistor and a capacitor of unknown values. First, you charge the capacitor and discharge it through the resistor. By monitoring the capacitor voltage on an oscilloscope, you see that the voltage decays to half its initial value in 2.5 ms. You then use the resistor and capacitor to make a low-pass filter. What is the crossover frequency fc?

65
views
Domanda del libro di testo

The small transformers that power many consumer products produce a 12.0 V rms, 60 Hz emf. Design a circuit using resistors and capacitors that uses the transformer voltage as an input and produces a 6.0 V rms output that leads the input voltage by 45°.

1195
views
Domanda del libro di testo

What is the peak current supplied by the emf in FIGURE P32.42?

1542
views
Domanda del libro di testo

A series RC circuit is built with a 12 kΩ resistor and a parallel-plate capacitor with 15-cm-diameter electrodes. A 12 V, 36 kHz source drives a peak current of 0.65 mA through the circuit. What is the spacing between the capacitor plates?

60
views
1
rank
Domanda del libro di testo

For an RC circuit, find an expression for the angular frequency at which VR = ½ ε0.

94
views
Domanda del libro di testo

What is the peak voltage across the 3.0 μF capacitor?

188
views