Question:
What is the fundamental angular frequency in rad/sec for the given waveform?
What is the fundamental angular frequency in rad/sec for the given waveform?
Show Hint
The fundamental angular frequency is the reciprocal of the period multiplied by \( 2\pi \).
Updated On: May 5, 2025
- 5
- \( 5\pi \)
- 10
- \( 10\pi \)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The given signal is a periodic signal with a period of 0.1 seconds (as seen from the waveform). The fundamental angular frequency \( \omega_0 \) is related to the period \( T \) by the formula:
\[
\omega_0 = \frac{2\pi}{T}
\]
Substituting \( T = 0.1 \):
\[
\omega_0 = \frac{2\pi}{0.1} = 10\pi
\]
Therefore, the correct answer is option (4).
Was this answer helpful?
0
0
Top Questions on Small signal analysis
- In the circuit shown, the \(n:1\) step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward-biased condition. If the input voltage (in Volts) is \(V_s(t) = 10\sin\omega t\) and the average value of load voltage \(V_L(t)\) (in Volts) is \(2.5/\pi\), the value of \(n\) is \(\_\_\_\_\). \begin{center} \includegraphics[width=5cm]{23.png} \end{center}
- GATE EC - 2024
- Analog Circuits
- Small signal analysis
- For the closed-loop amplifier circuit shown below, the magnitude of open-loop low-frequency small signal voltage gain is 40. All the transistors are biased in saturation. The current source \(I_{SS}\) is ideal. Neglect body effect, channel length modulation, and intrinsic device capacitances. The closed-loop low-frequency small signal voltage gain \(\frac{v_{out}}{v_{in}}\) (rounded off to three decimal places) is: \begin{center} \includegraphics[width=6cm]{18.png} \end{center}
- GATE EC - 2024
- Analog Circuits
- Small signal analysis
- Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances \(z_{inA}\), \(z_{inB}\), \(z_{inC}\), and \(z_{inD}\) (indicated in the figure) are: \begin{center} \includegraphics[width=8cm]{15.png} \end{center}
- GATE EC - 2024
- Analog Circuits
- Small signal analysis
Questions Asked in AP PGECET exam
- Let \( z \) be a complex variable and \( C : |z| = 3 \) be a circle in the complex plane. Then,\[ \oint_C \frac{z^2}{(z - 1)^2(z + 2)} \, dz = \]
- AP PGECET - 2025
- Complex numbers
- If \( \vec{F}(x, y, z) = 3x^2y\,\hat{i} + 5y^2z\,\hat{j} - 8xyz\,\hat{k} \) is a continuously differentiable vector field, then the curl of \( \vec{F} \) at (1,1,1) is ...............
- AP PGECET - 2025
- Calculus
- Let \( f(x) = x^3 - \dfrac{9}{2}x^2 + 6x - 2 \) be a function defined on the closed interval \([0, 3]\). Then, the global maximum value of \( f(x) \) is ...............
- AP PGECET - 2025
- Calculus
- For a stable closed loop system, the gain at phase crossover frequency should always be:
- AP PGECET - 2025
- Control Systems
- If the matrix \[ A = \begin{pmatrix} 3 & -1 & 1 \\ -1 & 5 & -1 \\ 1 & -1 & 3 \end{pmatrix} \] has three distinct eigenvalues, and one of its eigenvectors is \[ \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix}, \] then which of the following can be another eigenvector of \( A \)?
- AP PGECET - 2025
- Linear Algebra
View More Questions