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In a two element series circuit, the applied voltage and the resulting current are v(t) = 60 + 66sin (10 t) V, i(t)=2.3sin (103t + 68.3o) 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?
Verified Answer
In a two element series circuit, the applied voltage and the resulting...
R-Ccauses a positive phase shift in voltage
Most Upvoted Answer
In a two element series circuit, the applied voltage and the resulting...
Since, the current phasor leads the voltage phasor, therefore, the elements would be R-C.
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In a two element series circuit, the applied voltage and the resulting...
Explanation:
To determine the nature of the elements in the circuit, we need to analyze the voltage and current waveforms and compare them to the characteristics of different circuit elements.
Given:
Applied voltage: v(t) = 60 + 66sin(10t) V
Resulting current: i(t) = 2.3sin(103t - 68.3°) A
Analysis:
We can break down the given voltage and current waveforms into their respective components:
Voltage waveform:
DC component: 60 V
AC component: 66sin(10t) V
Current waveform:
Amplitude: 2.3 A
Frequency: 103 rad/s
Phase angle: -68.3°
To determine the nature of the elements, we need to compare the voltage and current waveforms.
Characteristics of R-C circuit:
- In a series R-C circuit, the voltage and current waveforms are in phase.
- The amplitude of the current waveform decreases exponentially with time due to the presence of a capacitor.
Characteristics of L-C circuit:
- In a series L-C circuit, the voltage and current waveforms are out of phase.
- The amplitude of the current waveform oscillates at the natural frequency of the circuit due to the presence of an inductor.
Characteristics of R-L circuit:
- In a series R-L circuit, the voltage and current waveforms are in phase.
- The amplitude of the current waveform decreases exponentially with time due to the presence of an inductor.
Comparison:
- In the given circuit, the voltage and current waveforms are in phase, indicating that it is not an L-C circuit.
- The amplitude of the current waveform does not decrease exponentially with time, indicating that it is not an R-C circuit.
- The given circuit satisfies the characteristics of an R-L circuit, where the voltage and current waveforms are in phase, and the amplitude of the current waveform decreases exponentially with time.
Therefore, the nature of the elements in the given circuit is R-L (option C).
To determine the nature of the elements in the circuit, we need to analyze the voltage and current waveforms and compare them to the characteristics of different circuit elements.
Given:
Applied voltage: v(t) = 60 + 66sin(10t) V
Resulting current: i(t) = 2.3sin(103t - 68.3°) A
Analysis:
We can break down the given voltage and current waveforms into their respective components:
Voltage waveform:
DC component: 60 V
AC component: 66sin(10t) V
Current waveform:
Amplitude: 2.3 A
Frequency: 103 rad/s
Phase angle: -68.3°
To determine the nature of the elements, we need to compare the voltage and current waveforms.
Characteristics of R-C circuit:
- In a series R-C circuit, the voltage and current waveforms are in phase.
- The amplitude of the current waveform decreases exponentially with time due to the presence of a capacitor.
Characteristics of L-C circuit:
- In a series L-C circuit, the voltage and current waveforms are out of phase.
- The amplitude of the current waveform oscillates at the natural frequency of the circuit due to the presence of an inductor.
Characteristics of R-L circuit:
- In a series R-L circuit, the voltage and current waveforms are in phase.
- The amplitude of the current waveform decreases exponentially with time due to the presence of an inductor.
Comparison:
- In the given circuit, the voltage and current waveforms are in phase, indicating that it is not an L-C circuit.
- The amplitude of the current waveform does not decrease exponentially with time, indicating that it is not an R-C circuit.
- The given circuit satisfies the characteristics of an R-L circuit, where the voltage and current waveforms are in phase, and the amplitude of the current waveform decreases exponentially with time.
Therefore, the nature of the elements in the given circuit is R-L (option C).
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In a two element series circuit, the applied voltage and the resulting current arev(t) = 60 + 66sin (10 t) V, i(t)=2.3sin (103t + 68.3o) A.The nature of the elements would bea)R-Cb)L-Cc)R-Ld)R-RCorrect answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In a two element series circuit, the applied voltage and the resulting current arev(t) = 60 + 66sin (10 t) V, i(t)=2.3sin (103t + 68.3o) A.The nature of the elements would bea)R-Cb)L-Cc)R-Ld)R-RCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two element series circuit, the applied voltage and the resulting current arev(t) = 60 + 66sin (10 t) V, i(t)=2.3sin (103t + 68.3o) A.The nature of the elements would bea)R-Cb)L-Cc)R-Ld)R-RCorrect answer is option 'A'. Can you explain this answer?.
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