Question:
For the active filter shown, the DC gain and the 3 dB cutoff frequency are nearly:
\[
C_1 = 1.0\ \text{nF},\ R_1 = 15.9\ \text{k}\Omega,\ R_2 = 159\ \text{k}\Omega
\]
For the active filter shown, the DC gain and the 3 dB cutoff frequency are nearly:
\[
C_1 = 1.0\ \text{nF},\ R_1 = 15.9\ \text{k}\Omega,\ R_2 = 159\ \text{k}\Omega
\]
Show Hint
Use \( f_c = \frac{1}{2\pi RC} \), and \( A_v = 1 + \frac{R_2}{R_1} \) for active low-pass filters.
Updated On: May 26, 2025
- 40 dB, 3.14 kHz
- 40 dB, 1 kHz
- 20 dB, 6.28 kHz
- 20 dB, 1 kHz
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
DC Gain:
\[
A_v = 1 + \dfrac{R_2}{R_1} = 1 + \dfrac{159}{15.9} = 1 + 10 = 11
\Rightarrow 20 \log(11) \approx 20.8\ \text{dB} \approx 20\ \text{dB}
\]
Cutoff frequency:
\[
f_c = \dfrac{1}{2\pi R_1 C_1} = \dfrac{1}{2\pi \cdot 15.9 \times 10^3 \cdot 1 \times 10^{-9}} \approx 1\ \text{kHz}
\]
Was this answer helpful?
0
0
Top TS PGECET Instrumentation Engineering Questions
- The energy stored in a capacitor \( C \) when a voltage \( V \) exists across it is:
- The mechanical force per unit charge at a given point is called:
- Force on a current-carrying conductor placed in a magnetic field is given by:
- "Whenever magnetic flux linked with a closed coil changes, an induced emf is setup in the coil and lasts as long as the change in magnetic flux continues." This is:
- Internal resistance of an ideal voltage source is:
View More Questions
Top TS PGECET Signals and Systems Questions
- In a parallel RC circuit, the supply current always \underline{\hspace{2cm}} the applied voltage.
- For the signal \( x(t) = [1 + 0.5 \cos(40\pi t)] \cos(200\pi t) \), find the fundamental frequency in Hz.
- Which of the following is not true for a continuous-time causal and stable LTI system?
- Given \( h(t) = \delta(t-1) + \delta(t-3) \), find step response at \( t = 2 \).
- Which one of the following discrete-time systems is time-invariant?
View More Questions
Top TS PGECET Questions
- If \( P = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{pmatrix} \) is the modal matrix of \( A = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 2 \\ 0 & 0 & 3 \end{pmatrix} \) then the sum of all the elements of \( P^{-1}AP \) is
- If the system of equations \( kx + y + z = k - 1 \), \( x + ky + z = k - 1 \), and \( x + y + kz = k - 1 \) has infinite solutions, then \( k \) is
- The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is
- Let \( f(x) = \log x \). The number \( C \) strictly between \( e^2 \) and \( e^3 \) such that its reciprocal is equal to \( \frac{f(e^3) - f(e^2)}{e^3 - e^2} \) is
- The solution of the differential equation \( (D^2 + 2)y = x^2 \) is
View More Questions