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In a two element series circuit, the applied voltage and the resulting current are v(t) = 60 + 66 sin (1000t) V, i(t) = 2.3sin (1000t + 68.3) 3 A. The nature of the elements would be
- a)R C
- b)L C
- c)R L
- d)R R
Correct answer is option 'A'. Can you explain this answer?
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In a two element series circuit, the applied voltage and the resulting...
RC circuit causes a positive shift in the circuit.
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In a two element series circuit, the applied voltage and the resulting...
Given:
- Applied voltage: v(t) = 60 + 66sin(1000t) V
- Resulting current: i(t) = 2.3sin(1000t - 68.3) + 3 A
To Determine:
The nature of the elements in the circuit.
Solution:
To determine the nature of the elements, we need to analyze the voltage and current waveforms and compare them.
Step 1: Analyzing the Voltage waveform
The applied voltage waveform is given as v(t) = 60 + 66sin(1000t) V. Let's analyze its components:
- DC Component: 60 V
- AC Component: 66sin(1000t) V
Step 2: Analyzing the Current waveform
The resulting current waveform is given as i(t) = 2.3sin(1000t - 68.3) + 3 A. Let's analyze its components:
- DC Component: 3 A
- AC Component: 2.3sin(1000t - 68.3) A
Step 3: Comparing the Voltage and Current waveforms
Comparing the voltage and current waveforms, we can observe the following:
- The voltage waveform has a DC component of 60 V, while the current waveform has a DC component of 3 A. This indicates the presence of a resistive element in the circuit.
- The voltage waveform has an AC component of 66sin(1000t) V, while the current waveform has an AC component of 2.3sin(1000t - 68.3) A. The phase shift between the voltage and current waveforms indicates the presence of a reactive element (either inductive or capacitive).
Step 4: Conclusion
Based on the analysis, we can conclude that the nature of the elements in the circuit is:
- Resistive (R): The presence of a DC component in both the voltage and current waveforms indicates a resistive element.
- Capacitive (C): The phase shift between the voltage and current waveforms indicates the presence of a reactive element, which could be a capacitor.
Therefore, the correct answer is option 'A' - R C, indicating the presence of a resistive and capacitive element in the circuit.
- Applied voltage: v(t) = 60 + 66sin(1000t) V
- Resulting current: i(t) = 2.3sin(1000t - 68.3) + 3 A
To Determine:
The nature of the elements in the circuit.
Solution:
To determine the nature of the elements, we need to analyze the voltage and current waveforms and compare them.
Step 1: Analyzing the Voltage waveform
The applied voltage waveform is given as v(t) = 60 + 66sin(1000t) V. Let's analyze its components:
- DC Component: 60 V
- AC Component: 66sin(1000t) V
Step 2: Analyzing the Current waveform
The resulting current waveform is given as i(t) = 2.3sin(1000t - 68.3) + 3 A. Let's analyze its components:
- DC Component: 3 A
- AC Component: 2.3sin(1000t - 68.3) A
Step 3: Comparing the Voltage and Current waveforms
Comparing the voltage and current waveforms, we can observe the following:
- The voltage waveform has a DC component of 60 V, while the current waveform has a DC component of 3 A. This indicates the presence of a resistive element in the circuit.
- The voltage waveform has an AC component of 66sin(1000t) V, while the current waveform has an AC component of 2.3sin(1000t - 68.3) A. The phase shift between the voltage and current waveforms indicates the presence of a reactive element (either inductive or capacitive).
Step 4: Conclusion
Based on the analysis, we can conclude that the nature of the elements in the circuit is:
- Resistive (R): The presence of a DC component in both the voltage and current waveforms indicates a resistive element.
- Capacitive (C): The phase shift between the voltage and current waveforms indicates the presence of a reactive element, which could be a capacitor.
Therefore, the correct answer is option 'A' - R C, indicating the presence of a resistive and capacitive element in the circuit.
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In a two element series circuit, the applied voltage and the resulting...
Current lead vtg by 68.3 .... which denotes capacitor in ckt
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