The circuit given below is built using component values L=1 mH and C= 100 µF. ILC L The bandwidth value is V=C If Qo = 19.00, determine the bandwidth and estimate the magnitude and angle of the input impedance for operation at 3162 rad/s. (Report your answer so that all angles are in the range of 0 degrees to positive 180 degrees.) (Round the final answers to three decimal places.) rad/s. The magnitude and angle of the input impedance for operation at 3162 rad/s is 'Q.

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The circuit shown is constructed using component values of \( L = 1 \, \text{mH} \) and \( C = 100 \, \mu\text{F} \).

**Circuit Description:**
- It includes a resistor (\( R \)), inductor (\( L \)), and capacitor (\( C \)) connected in parallel.
- Current enters the circuit at point \( I \).
- The currents through the components are labeled as \( I_L \) (through the inductor), \( I_C \) (through the capacitor), and \( I_{LC} \) (combined through the inductor and capacitor).
- Voltage across the capacitor is labeled \( V \).

**Problem Statement:**
Given \( Q_0 = 19.00 \), calculate the following:
1. **Bandwidth** of the circuit.
2. **Magnitude and angle** of the input impedance for operation at \( 3162 \, \text{rad/s} \).

Ensure that all angle answers fall within the range of 0 to 180 degrees. Round the final answers to three decimal places.

1. The bandwidth value is ______ rad/s.
2. The magnitude and angle of the input impedance for operation at \( 3162 \, \text{rad/s} \) are ______ \(\angle\) ______ ° Ohms.
Transcribed Image Text:The circuit shown is constructed using component values of \( L = 1 \, \text{mH} \) and \( C = 100 \, \mu\text{F} \). **Circuit Description:** - It includes a resistor (\( R \)), inductor (\( L \)), and capacitor (\( C \)) connected in parallel. - Current enters the circuit at point \( I \). - The currents through the components are labeled as \( I_L \) (through the inductor), \( I_C \) (through the capacitor), and \( I_{LC} \) (combined through the inductor and capacitor). - Voltage across the capacitor is labeled \( V \). **Problem Statement:** Given \( Q_0 = 19.00 \), calculate the following: 1. **Bandwidth** of the circuit. 2. **Magnitude and angle** of the input impedance for operation at \( 3162 \, \text{rad/s} \). Ensure that all angle answers fall within the range of 0 to 180 degrees. Round the final answers to three decimal places. 1. The bandwidth value is ______ rad/s. 2. The magnitude and angle of the input impedance for operation at \( 3162 \, \text{rad/s} \) are ______ \(\angle\) ______ ° Ohms.
### Required Information

A parallel RLC network is constructed using the following components:
- \( R = 5.00 \, \Omega \)
- \( L = 100 \, \text{mH} \)
- \( C = 1 \, \text{mF} \)

### Problem Statement

Determine at which frequencies the impedance magnitude drops to 90 percent of its maximum value.

### Solution

The frequencies at which the impedance magnitude drops to 90 percent of its maximum value are \(\_\_\_\) rad/s and \(\_\_\_\) rad/s.

(Note: Round the final answers to three decimal places.)
Transcribed Image Text:### Required Information A parallel RLC network is constructed using the following components: - \( R = 5.00 \, \Omega \) - \( L = 100 \, \text{mH} \) - \( C = 1 \, \text{mF} \) ### Problem Statement Determine at which frequencies the impedance magnitude drops to 90 percent of its maximum value. ### Solution The frequencies at which the impedance magnitude drops to 90 percent of its maximum value are \(\_\_\_\) rad/s and \(\_\_\_\) rad/s. (Note: Round the final answers to three decimal places.)
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