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Analog Circuits Sectional Test Three

Q. No. 1 - 10 Carry One Mark Each
1. A triangular to square wave generator uses

(A) A sine wave oscillation and a comparator
(B) An integrator and a comparator
(C) A differentiator and a comparator
(D) A sine wave oscillator and a clipper

Correct Answer : C

Solve-1. A triangular to square wave generator uses a diflerentiator and a comparator.
2. Which of the following can be used to generate a square wave from a sinusoidal input signal?
1. Schmitt Trigger circuit
2. Clippers and amplifiers
3. Mono stable multi vibrators

(A) 1 alone    (B) 1 and 2    (C) 2 and 3    (D) 1, 2 and 3

Correct Answer : A

Solve-2. Among the given a generators only Schmitt trigger circuit produces square wave as output by given any input.
3. An amplifier has a mid frequency gain of \(A_o\) = 100 and upper cut off frequency of \(f_H\) = 40kHz. For a feedback transfer ratio β = 0.1, find upper cut off frequency with negative feedback.

(A) 44 kHz    (B) 440 kHz    (C) 50 kHz    (D)30 kHz

Correct Answer : B

Solve-3. \(f_{Hf} = f_H(1 + βA_o)\) = 440kHz
4. In the circuit shown below, the Zener diode has a knee current of 5 mA and a maximum allowed power dissipation of 240 mW. What are the minimum and maximum load currents that can be drawn safely from the circuit, keeping the output voltage \(V_o\) at 6 V?
Analog Circuit EC-ID-1312_Q4

(A) 0 mA, 180 mA    (B) 5 mA, 110 mA
(C) 20 mA, 55 mA    (D) 60 mA, 180 mA

Correct Answer : C

Solve-4. \(I_{Z(min)}\) = 5mA    \(V_o\) = 6V = \(V_z\)
\(P_{max}\) = 240mW    \(\therefore I_{z(max)} = \frac {240}{V} = \frac {240}{6}\) = 40mA
Now I = \(\frac {9 - 6}{50}\) = 60mA.    \(\therefore I_{L(min)} = I - I_{z(max)}\) = 60 - 40 = 20mA
\(I_{L(max)} = I - I_{z(min)}\) = 60 - 5 = 55mA
5. In the circuit given below \(V_z\) = 5V and β = 80. The value of \(I_{CQ}\) and \(V_{CEB}\) are
Analog Circuit EC-ID-1312_Q5

(A) 15.75 mA, 5.7V    (B) 15.75 mA, 4.3V
(C) 12.47 mA, 4.3V    (D) 12.47 mA, 5.7V

Correct Answer : A

Solve-5. Applying KVL, it can be written that
12 - 5 - 0.7 - 400\(I_C\) = 0 \(\implies\) 12 - 5.7 - 400\(I_C\) = 0 \(\implies I_{CQ}\) = 15.75mA
Now 12 - \(400 \times (15.75 \times 10^{-3}) - V_{CEQ}\) = 0 \(\implies V_{CEQ}\) = 5.7V
6. Find the time period of multivibrator shown below (\(R_2 = 0.86R_1\)).
Analog Circuit EC-ID-1312_Q6

(A) 0.5ms    (B) 2ms    (C) 0.86ms    (D) 20ms

Correct Answer : D

Solve-6. T = 2\(R_f\)C = 20ms
7. Find the capacitor voltage \(V_c\), in an astable multi-vibrator using 555 timer with \(V_{cc}\) = 9V.

(A) 3 to 6V    (B) 3 to 4V    (C) 5 to 6V    (D)3 to 5V

Correct Answer : A

Solve-7. From pin-diagram of 555 timer the threshold voltage = 2/3VCC = 2/3 \(\times\) 9 = 6 V
The trigger voltage = \(\frac {1}{3} V_{cc}\) = 3V

8. The output waveform for the circuit shown below is
Analog Circuit EC-ID-1312_Q8

Correct Answer : D

Solve-8. When \(V_i\) = 10V, diode is forward biased.
\(V_o\) = 2V
-10 + \(V_c\) + 2 = 0,   \(V_c\) = +8V
When \(V_i\) = -10V, diode is reverse biased.
\(V_i + 8 + V_o\) = 0
10 + 8 +\(V_o\) = 0
\(V_o\) = -18V
9. The percentage change in the open loop gain is 2O% and desensitivity factor is equal to 10 then the percentage change in the closed loop gain is ______ (%)

Correct Answer : From: 2.02 To: 1.98

Solve-9. Desensitivity factor D = 1 + Aβ = 10
\(\frac {dA_f}{A_f} = \frac {dA/A}{1 + Aβ}\) = \(\frac {20%}{10}\) = 2%
10. For the circuit shown \(R_i\) = 1kΩ, \(R_f\) = 99k, A = 500. The exact closed loop gain is ___.
Analog Circuit EC-ID-1312_Q10

Correct Answer : From: 84.133 To: 82.467

Solve-10. β = \(\frac {R_i}{R_i + R_f}\) = 0.01, A = \(\frac {A}{1 + βA}\) = 83.3
Q. No. 11 - 20 Carry Two Mark Each
11. If R = 10kΩ and C = 0.001μF then what is the cutoff frequency?
Analog Circuit EC-ID-1312_Q11

(A) 15.9kHz    (B) 1MHz    (C) 10GHz    (D) 159MHz

Correct Answer : A

Solve-11. R = \(\frac {1}{ω_cC} = \frac {1}{2πf_cC}\);   \(f_c = \frac {1}{2πRC}\) = 15.9kHz
12. A 50 Hz symmetric square wave is applied to the RC-circuit shown in the diagram given below. Which one of the following is the correct output waveform for given input?
Analog Circuit EC-ID-1312_Q12


Correct Answer : A

Solve-12. Figure shown in this given problem is low pass filter. Low pass filter can act as an integrator so, by integrating step signal (or) square wave we can get, triangle wave form.
13. Consider an RC phase oscillator with R = 1 KΩ, and C = 500 PF. The frequency at which the phase angle produced is 45° is given by

(A) \(1.5 \times 10^5\)Hz    (B) \(3.2 \times 10^5\)Hz    (C) \(2.5 \times 10^5\)Hz    (D) \(2.8 \times 10^5\)Hz

Correct Answer : B

Solve-13. In RC-phase shift oscillator, the inverting op-amp provides 180° phase, and the combination of three RC combinations provides 180°.
So, \(θ = tan^{-1}(\frac {1}{ωRC})\)
Here we must choose R, C values to get the θ as 180°.
Here given θ = 45°
ωRC = tanθ \(\implies\) ωRC = 1 \(\implies ω = \frac {1}{RC}\)
f = \(\frac {1}{2πRC}\) = \(\frac {1}{2π \times 1 \times 10^3 \times 500 \times 10^{-12}}\) \(\implies f = 3.2 \times 10^5\)Hz
14. What is the gain of the inverting amplifier if the op-Amp and diodes are ideal?
Analog Circuit EC-ID-1312_Q14

(A) \(\frac {-R_1}{R_2}, V_i > 0; \frac {-R_3}{R_1}, V_i ≤ 0\)    (B) \(\frac {-R_2}{R_1}, V_i > 0; \frac {-R_1}{R_3}, V_i ≤ 0\)
(C) \(\frac {-R_2}{R_1}, V_i > 0; \frac {-R_3}{R_1}, V_i ≤ 0\)    (D) \(\frac {-R_3}{R_1}, V_i > 0; \frac {-R_2}{R_1}, V_i ≤ 0\)

Correct Answer : C
15. The value of \(V_o\) for the circuit shown below is ____ (V).
Analog Circuit EC-ID-1312_Q15


Correct Answer : From: 7.07 To: 6.93

Solve-15. \(V_1 = \frac {2 \times 10}{10}\) = 2V, \(V_o = (1 + \frac {50}{20})\)2V = 7V
16. For a BJT phase shift amplifier shown below, f = 5MHz then the value of 'C' is ___ (pF).
Analog Circuit EC-ID-1312_Q16

Correct Answer : From: 0.869 To: 0.851

Solve-16. f = \(\frac {1}{2π\sqrt {6} RC}\) \(\implies\) 5MHz = \(\frac {1}{2π\sqrt {6} 15K C} \implies\) C = 0.86pF
Common Data Questions: 17 and 18
Consider the Astable multivibrator shown below with \(R_A\) = 6.8kΩ, \(R_B\) = 3.3kΩ
Analog Circuit EC-ID-1312_Q17 Astable multivibrator


17. The value of free running frequency is ___ (KHz).

Correct Answer : From: 1.081 To: 1.059

Solve-17. f = \(\frac {1}{T} = \frac {1.44}{(R_A + 2R_B)C}\) = 1.07kHz



18. The value of duty cycle is ___.

Correct Answer : From: 0.758 To: 0.743

Solve-18. D = \(\frac {t_{on}}{T} = \frac {R_A + R_B}{R_A + 2R_B}\) = 0.75
Statement for Linked Answer Questions: 19 and 20
Circuit diagram for an Astable multivibrator is shown below where \(R_A\) = 5K, \(R_B\) = 5K, C = 1μF, (ln2 = 0.693)
Analog Circuit EC-ID-1312_Q18 Astable multivibrator



19. What is the value of ON-time of the output waveform in the multivibrator shown?

(A) \(1.7325 \times 10^{-4}\) sec    (B) \(6.93 \times 10^{-3}\) sec
(C) \(6.93 \times 10^{-7}\) sec    (D) \(3.465 \times 10^{-3}\) sec

Correct Answer : D

Solve-19. \(T_{ON} = 0.693 R_AC\) = \(3.465 \times 10^{-3}\) sec.; Because of the diode, \(R_B\) is bypassed.



20. Duty cycle of the output waveform of the above system is

(A) 1    (B) 0.5    (C) 0.33    (D) 0.67

Correct Answer : B

Solve-20. Duty cycle = \(\frac {T_{ON}}{T_{ON} + T_{OFF}}\) = \(\frac {R_A}{R_A + R_B}\) = 0.5