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An op amp having a 106-dB gain at dc and a single-pole frequency response with ft = 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain is
- a)10 kHz
- b)20 kHz
- c)30 kHz
- d)40 kHz
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An op amp having a 106-dB gain at dc and a single-pole frequency respo...
Use the equation below to obtain a frequency response curve and proceed further.
Most Upvoted Answer
An op amp having a 106-dB gain at dc and a single-pole frequency respo...
The given problem involves designing a non-inverting amplifier using an operational amplifier (op amp) with specific characteristics. The op amp has a gain of 106 dB at dc (direct current) and a single-pole frequency response with a transition frequency (ft) of 2 MHz. We are required to determine the 3-dB frequency of the closed-loop gain for the amplifier.
Understanding the Problem:
To solve this problem, we need to consider the characteristics of the op amp and the properties of the non-inverting amplifier configuration. The closed-loop gain of the non-inverting amplifier is determined by the feedback resistor (Rf) and the input resistor (Rin).
Non-Inverting Amplifier Configuration:
In a non-inverting amplifier, the input signal is applied to the non-inverting terminal of the op amp, and the feedback resistor is connected between the output and the inverting terminal. The input resistor is connected between the non-inverting terminal and the input signal source.
Determining the Closed-Loop Gain:
The closed-loop gain (Av) of a non-inverting amplifier is given by the formula:
Av = 1 + (Rf/Rin)
In this problem, the desired nominal dc gain is 100, so we can write:
100 = 1 + (Rf/Rin)
Determining the Gain at the 3-dB Frequency:
The transition frequency (ft) of the op amp is the frequency at which the gain starts to roll off. In a single-pole response, the gain decreases at a rate of -20 dB per decade after the transition frequency.
The 3-dB frequency (f3dB) is the frequency at which the gain drops by 3 dB (half-power point). We can determine the 3-dB frequency using the formula:
f3dB = ft / Av
Substituting the given values:
f3dB = 2 MHz / 100
Solving the Equation:
Now, we can solve the equation to find the value of f3dB:
f3dB = 20 kHz
Therefore, the 3-dB frequency of the closed-loop gain is 20 kHz, which corresponds to option B.
Understanding the Problem:
To solve this problem, we need to consider the characteristics of the op amp and the properties of the non-inverting amplifier configuration. The closed-loop gain of the non-inverting amplifier is determined by the feedback resistor (Rf) and the input resistor (Rin).
Non-Inverting Amplifier Configuration:
In a non-inverting amplifier, the input signal is applied to the non-inverting terminal of the op amp, and the feedback resistor is connected between the output and the inverting terminal. The input resistor is connected between the non-inverting terminal and the input signal source.
Determining the Closed-Loop Gain:
The closed-loop gain (Av) of a non-inverting amplifier is given by the formula:
Av = 1 + (Rf/Rin)
In this problem, the desired nominal dc gain is 100, so we can write:
100 = 1 + (Rf/Rin)
Determining the Gain at the 3-dB Frequency:
The transition frequency (ft) of the op amp is the frequency at which the gain starts to roll off. In a single-pole response, the gain decreases at a rate of -20 dB per decade after the transition frequency.
The 3-dB frequency (f3dB) is the frequency at which the gain drops by 3 dB (half-power point). We can determine the 3-dB frequency using the formula:
f3dB = ft / Av
Substituting the given values:
f3dB = 2 MHz / 100
Solving the Equation:
Now, we can solve the equation to find the value of f3dB:
f3dB = 20 kHz
Therefore, the 3-dB frequency of the closed-loop gain is 20 kHz, which corresponds to option B.
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An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer?.
An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An op amp having a 106-dB gain at dc and a single-pole frequency response with ft= 2 MHz is used to design a non-inverting amplifier with nominal dc gain of 100. The 3-dB frequency of the closed-loop gain isa)10 kHzb)20 kHzc)30 kHzd)40 kHzCorrect answer is option 'B'. Can you explain this answer?.
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