The resistor in a series RCL circuit has a resistance of 98.02, while the rms voltage of the generator is 4.00 V. At resonance, what is the average power delivered to the circuit?
The resistor in a series RCL circuit has a resistance of 98.02, while the rms voltage of the generator is 4.00 V. At resonance, what is the average power delivered to 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
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Question:**
The resistor in a series RCL circuit has a resistance of 98.0 Ω, while the rms voltage of the generator is 4.00 V. At resonance, what is the average power delivered to the circuit?
**Formula Input:**
\( P_{\text{av}} = \) [ Text Box ] [ Dropdown ]
**Resources:**
- eTextbook and Media
- GO Tutorial
---
**Explanation:**
At resonance in a series RCL circuit, the average power (\( P_{\text{av}} \)) can be calculated using the formula for power in terms of resistance (R) and root mean square (rms) voltage (V):
\[ P_{\text{av}} = \frac{V_{\text{rms}}^2}{R} \]
Where:
- \( V_{\text{rms}} \) is the rms voltage across the resistor.
- \( R \) is the resistance of the resistor.
This equation helps calculate the average power delivered to the circuit in watts (W) at resonance, where resonance minimizes reactance and maximizes current flow through the resistor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21f4b985-de9a-4e92-bd47-c55b7a78a940%2F51cf8535-b5b5-4071-b818-56c9878898fc%2F4f8zhq4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
The resistor in a series RCL circuit has a resistance of 98.0 Ω, while the rms voltage of the generator is 4.00 V. At resonance, what is the average power delivered to the circuit?
**Formula Input:**
\( P_{\text{av}} = \) [ Text Box ] [ Dropdown ]
**Resources:**
- eTextbook and Media
- GO Tutorial
---
**Explanation:**
At resonance in a series RCL circuit, the average power (\( P_{\text{av}} \)) can be calculated using the formula for power in terms of resistance (R) and root mean square (rms) voltage (V):
\[ P_{\text{av}} = \frac{V_{\text{rms}}^2}{R} \]
Where:
- \( V_{\text{rms}} \) is the rms voltage across the resistor.
- \( R \) is the resistance of the resistor.
This equation helps calculate the average power delivered to the circuit in watts (W) at resonance, where resonance minimizes reactance and maximizes current flow through the resistor.
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