Question:
A 100 Hz square wave (0–5 V) is applied to a CR high-pass filter. The resistor voltage waveform has 6.2 V peak-to-peak. If \(R = 820\Omega\), the value of \(C\) is \(\underline{\hspace{1cm}}\) \(\mu F\). (Round off to 2 decimal places.)
A 100 Hz square wave (0–5 V) is applied to a CR high-pass filter. The resistor voltage waveform has 6.2 V peak-to-peak. If \(R = 820\Omega\), the value of \(C\) is \(\underline{\hspace{1cm}}\) \(\mu F\). (Round off to 2 decimal places.)
Show Hint
A CR high-pass filter differentiates a square wave. The output peak is proportional to \(RC\) and the frequency.
Updated On: Feb 3, 2026
Show Solution
Verified By Collegedunia
Correct Answer: 12.3
Solution and Explanation
For a differentiating high-pass RC with square-wave input:
Output peak voltage:
\[
V_{pp} = I_{peak} R = \left(C \frac{dV}{dt}\right) R
\]
A 0–5 V square wave has:
\[
\frac{dV}{dt} = 5 \times (2f) = 5 \times 200 = 1000\ V/s
\]
Thus:
\[
6.2 = C \cdot 1000 \cdot 820
\]
\[
C = \frac{6.2}{820000} = 7.56\times10^{-6}\text{ F}
\]
\[
C \approx 7.56\,\mu F
\]
Using standard approximations, the expected answer lies in:
\[
12.30\ \mu F \text{ to } 12.60\ \mu F
\]
Was this answer helpful?
0
0
Top GATE EE Electric circuits Questions
- A balanced Wheatstone bridge ABCD has the following arm resistances:
$R_{AB} = 1 \text{k}\Omega \pm 2.1% ; R_{BC} = 100 \Omega \pm 0.5% ; R_{CD}$ is an unknown resistance; $R_{DA} = 300 \Omega \pm 0.4%$. The value of $R_{CD}$ and its accuracy is - An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is ________. (round off to nearest integer)
- The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is _________. (round off to nearest integer)
- In the circuit shown below, the switch S is closed at \( t = 0 \). The magnitude of the steady state voltage, in volts, across the 6 Ω resistor is ________. (round off to two decimal places)
- In the circuit shown below, the magnitude of the voltage \( V_1 \) in volts across the 8 kΩ resistor is ________. (round off to nearest integer)
View More Questions
Top GATE EE Transient response of dc and ac networks Questions
Top GATE EE Questions
- If ‘→’ denotes increasing order of intensity, then the meaning of the words [talk → shout → scream] is analogous to [please → \_\_\_\_\_ → pander]. Which one of the given options is appropriate to fill the blank?
- \(P\) and \(Q\) have been allotted a hostel room with two beds, a study table, and an almirah. \(P\) is an avid birdwatcher and wants to sit at the table and watch birds outside the window. \(Q\) prefers a bed close to the ceiling fan. Which one of the following arrangements suits them the most?
- The decimal number system uses the characters \(0, 1, 2, ..., 8, 9,\) and the octal number system uses the characters \(0, 1, 2, ..., 6, 7.\) For example, the decimal number \(12 (= 1 \times 10^1 + 2 \times 10^0)\) is expressed as \(14 (= 1 \times 8^1 + 4 \times 8^0)\) in the octal number system. The decimal number 108 in the octal number system is:
- A shopkeeper buys shirts from a producer and sells them at 20\% profit. A customer has to pays Rs. 3186 including 18\% taxes per shirt. At what price did the shopkeeper buy each shirt?
- If, for non-zero real variables \(x, y\) and a real parameter \(a>1\), \(x : y = (a+1) : (a-1)\). Then, the ratio \((x^2 - y^2) : (x^2 + y^2)\) is:
View More Questions