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The phase in the integrator and differentiator circuit respectively are
- a)+90 degrees and +90 degrees
- b)-90 degrees and -90 degrees
- c)-90 degrees and +90 degrees
- d)+90 degrees and -90 degrees
Correct answer is option 'D'. Can you explain this answer?
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The phase in the integrator and differentiator circuit respectively ar...
These are the characteristics of the integrators and differentiators circuits respectively.
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The phase in the integrator and differentiator circuit respectively ar...
The Phase in the Integrator and Differentiator Circuit
Integrator Circuit:
An integrator circuit is a type of analog electronic circuit that performs the mathematical operation of integration. It consists of an operational amplifier (op-amp) and a feedback capacitor connected between the output and the inverting input terminal of the op-amp.
Phase in the Integrator Circuit:
The phase shift in an integrator circuit can be determined by analyzing the transfer function of the circuit. The transfer function relates the output voltage to the input voltage. In the case of an ideal integrator circuit, the transfer function is given by:
H(jω) = -1 / (jωC)
Where:
- H(jω) is the transfer function
- j is the imaginary unit (√(-1))
- ω is the angular frequency (ω = 2πf, where f is the frequency)
- C is the value of the feedback capacitor
The transfer function is a complex number, where the magnitude represents the gain and the phase represents the phase shift. In the case of an integrator circuit, the magnitude of the transfer function is inversely proportional to the frequency. However, the phase of the transfer function is always -90 degrees or a quarter of a cycle.
Therefore, the phase shift in an integrator circuit is always -90 degrees.
Differentiator Circuit:
A differentiator circuit is a type of analog electronic circuit that performs the mathematical operation of differentiation. It consists of an operational amplifier (op-amp) and a feedback capacitor connected between the output and the inverting input terminal of the op-amp.
Phase in the Differentiator Circuit:
The phase shift in a differentiator circuit can also be determined by analyzing the transfer function of the circuit. The transfer function of an ideal differentiator circuit is given by:
H(jω) = -jωC
Similar to the integrator circuit, the transfer function is a complex number. In the case of a differentiator circuit, the magnitude of the transfer function is directly proportional to the frequency. However, the phase of the transfer function is always 90 degrees or a quarter of a cycle.
Therefore, the phase shift in a differentiator circuit is always 90 degrees.
Conclusion:
In summary, the phase shift in an integrator circuit is always -90 degrees, while the phase shift in a differentiator circuit is always 90 degrees. This is a fundamental characteristic of these circuits and is determined by the transfer function.
Integrator Circuit:
An integrator circuit is a type of analog electronic circuit that performs the mathematical operation of integration. It consists of an operational amplifier (op-amp) and a feedback capacitor connected between the output and the inverting input terminal of the op-amp.
Phase in the Integrator Circuit:
The phase shift in an integrator circuit can be determined by analyzing the transfer function of the circuit. The transfer function relates the output voltage to the input voltage. In the case of an ideal integrator circuit, the transfer function is given by:
H(jω) = -1 / (jωC)
Where:
- H(jω) is the transfer function
- j is the imaginary unit (√(-1))
- ω is the angular frequency (ω = 2πf, where f is the frequency)
- C is the value of the feedback capacitor
The transfer function is a complex number, where the magnitude represents the gain and the phase represents the phase shift. In the case of an integrator circuit, the magnitude of the transfer function is inversely proportional to the frequency. However, the phase of the transfer function is always -90 degrees or a quarter of a cycle.
Therefore, the phase shift in an integrator circuit is always -90 degrees.
Differentiator Circuit:
A differentiator circuit is a type of analog electronic circuit that performs the mathematical operation of differentiation. It consists of an operational amplifier (op-amp) and a feedback capacitor connected between the output and the inverting input terminal of the op-amp.
Phase in the Differentiator Circuit:
The phase shift in a differentiator circuit can also be determined by analyzing the transfer function of the circuit. The transfer function of an ideal differentiator circuit is given by:
H(jω) = -jωC
Similar to the integrator circuit, the transfer function is a complex number. In the case of a differentiator circuit, the magnitude of the transfer function is directly proportional to the frequency. However, the phase of the transfer function is always 90 degrees or a quarter of a cycle.
Therefore, the phase shift in a differentiator circuit is always 90 degrees.
Conclusion:
In summary, the phase shift in an integrator circuit is always -90 degrees, while the phase shift in a differentiator circuit is always 90 degrees. This is a fundamental characteristic of these circuits and is determined by the transfer function.
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The phase in the integrator and differentiator circuit respectively ar...
No answer is option C
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The phase in the integrator and differentiator circuit respectively area)+90 degrees and +90 degreesb)-90 degrees and -90 degreesc)-90 degrees and +90 degreesd)+90 degrees and -90 degreesCorrect answer is option 'D'. Can you explain this answer?
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