1. Calculate the RC time constant of the circuit in Fig. 1 using equation (1)
2. Derive expressions of Vout(t) for circuits in Figs. 1 and 2
3. Sketch your derived results for Vout(t), clearly labeling your initial voltages and time constants
Homework Answers
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1. Calculate the RC time constant of the circuit in Fig.
1 using equation (1)
2....
EXPERIMENT 11 STEP RESPONSE TO RC AND RL CIRCUITS pages 11-4 thru 11-7. tep response of the RC an...
EXPERIMENT 11 STEP RESPONSE TO RC AND RL CIRCUITS pages 11-4 thru 11-7. tep response of the RC and RL circuits is included in OBJECTIVE: O analyze the voltage and current characteristics of a Resistance - Capacitance (RC) circuit when driven by a step voltage function. To analyze the voltage and current characteristics of a Resistance- Inductor (RL) circuit when driven by a step voltage function To design an RC circuit to yield a specified output voltage with a step...
6.105 Consider the BJT cascode circuit of Fig. 6.30 (a) Derive an expression for the current...
6.105 Consider the BJT cascode circuit of Fig. 6.30 (a) Derive an expression for the current ic2 as a func- (b) Derive an expression for the output vouT as a func- (c) Combine these expressions to derive the vIN-voUT tion of vIN tion of icz transfer characteristic. Figure 6.30 Cascode configuration implemented with npn BJT devices. Q1 is the cascode device and 02 functions as the input current source. Rc Load element ici OUT Current-following (cascode) device Q1 2 DIN
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge...
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for the small-signal voltage gai...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for the small-signal voltage gain of Fig. 1(i) in terms of relevant small- signal parameters. (b) Over what frequency range will the gain of the Fig. 1(i) circuit be the same as that of the Fig. 1(i) circuit? (c) Which of the two circuits will show less variation in its de biasing in the presence of processing or temperature variations? Justify your answer. (d) Explain,...
electromagnetic 1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary...
electromagnetic
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (1) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R с V(t) С t=0 t>O Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC Circuit (b) Solve the ODE...
uestion 3: (10 points) n the RC circuit in the figure, Ri = 10 KQ, R2...
uestion 3: (10 points) n the RC circuit in the figure, Ri = 10 KQ, R2 = 30 KO, and C 6 uF. aswer the following questions, ) What is the equivalent resistor R12 to R and R2? 2) Find the differential equation relating the output voltage Vout to the input voltage 3) What is the order of the system? 4) What is the time constant t? 5) For step input Vin = 10V, find an expression for the output...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for the small-signal voltage gain of Fig. 1(i) in terms of relevant small- signal parameters. (b) Over what frequency range will the gain of the Fig. 1(i) circuit be the same as that of the Fig. 1(i) circuit? (c) Which of the two circuits will show less variation in its de biasing in the presence of processing or temperature variations? Justify your answer. (d) Explain,...
For the amplifier circuits in Figs.3 and 7: a. Write an expression for the output voltage,...
For the amplifier circuits in Figs.3 and 7:
a. Write an expression for the output voltage, vo, in terms of
the resistor symbols and the input voltage, vin.
---For the first circuit (Fig. 3), the feedback resistor is the
series combination of R2 and R3. Use both of these resistor symbols
in your expression.
-- For circuit 2 (Fig. 7), assume that vin = 5V and ignore
potentiometer R1 and C3.
b. Using resistor values and input voltage amplitudes, calculate...
Voc Ri Rc C2 + RS G Q2N3904 RL Vout 2 R2 RE CE Rin Rout...
Voc Ri Rc C2 + RS G Q2N3904 RL Vout 2 R2 RE CE Rin Rout Cu B 1x B C o + V be : Cr 8m'be E VCC R R2 Rc RE RS RL С. Cz CE 12 V 8.2 kg 3.9 ko 6.3 k2 3.3 kΩ 3 ko 3.9 ko 10 uF 1uF 100 u Assume the 2N3904 has a 8 =100, Veron} = 0.7V, VA= 100V, C=100, C=13.9pF and Ce=8pF. Use the emission coefficient as n...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
EXPERIMENT 11 STEP RESPONSE TO RC AND RL CIRCUITS pages 11-4 thru 11-7. tep response of the RC and RL circuits is included in OBJECTIVE: O analyze the voltage and current characteristics of a Resistance - Capacitance (RC) circuit when driven by a step voltage function. To analyze the voltage and current characteristics of a Resistance- Inductor (RL) circuit when driven by a step voltage function To design an RC circuit to yield a specified output voltage with a step...
6.105 Consider the BJT cascode circuit of Fig. 6.30 (a) Derive an expression for the current ic2 as a func- (b) Derive an expression for the output vouT as a func- (c) Combine these expressions to derive the vIN-voUT tion of vIN tion of icz transfer characteristic. Figure 6.30 Cascode configuration implemented with npn BJT devices. Q1 is the cascode device and 02 functions as the input current source. Rc Load element ici OUT Current-following (cascode) device Q1 2 DIN
Prelab Preparation: For the RC circuit shown in Figure 1, derive the modeling equation relating the output volta ge Vout to the input voltage vin. What is the transfer function? What is the time constant of the system? Vout Figure 1: RC Circuit What is the analytical step response solution in terms of vin, Rand C? For assumed values of R 1 K, and C 6.8 uF, perform a simulation using Matlab/Simulink assuming an input square wave signal of 5Vpp,...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for the small-signal voltage gain of Fig. 1(i) in terms of relevant small- signal parameters. (b) Over what frequency range will the gain of the Fig. 1(i) circuit be the same as that of the Fig. 1(i) circuit? (c) Which of the two circuits will show less variation in its de biasing in the presence of processing or temperature variations? Justify your answer. (d) Explain,...
electromagnetic
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (1) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R с V(t) С t=0 t>O Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC Circuit (b) Solve the ODE...
uestion 3: (10 points) n the RC circuit in the figure, Ri = 10 KQ, R2 = 30 KO, and C 6 uF. aswer the following questions, ) What is the equivalent resistor R12 to R and R2? 2) Find the differential equation relating the output voltage Vout to the input voltage 3) What is the order of the system? 4) What is the time constant t? 5) For step input Vin = 10V, find an expression for the output...
shows two versions of a common-emitter amplifier and (i Fig. 1 (a) Find the expression for the small-signal voltage gain of Fig. 1(i) in terms of relevant small- signal parameters. (b) Over what frequency range will the gain of the Fig. 1(i) circuit be the same as that of the Fig. 1(i) circuit? (c) Which of the two circuits will show less variation in its de biasing in the presence of processing or temperature variations? Justify your answer. (d) Explain,...
For the amplifier circuits in Figs.3 and 7:
a. Write an expression for the output voltage, vo, in terms of
the resistor symbols and the input voltage, vin.
---For the first circuit (Fig. 3), the feedback resistor is the
series combination of R2 and R3. Use both of these resistor symbols
in your expression.
-- For circuit 2 (Fig. 7), assume that vin = 5V and ignore
potentiometer R1 and C3.
b. Using resistor values and input voltage amplitudes, calculate...
Voc Ri Rc C2 + RS G Q2N3904 RL Vout 2 R2 RE CE Rin Rout Cu B 1x B C o + V be : Cr 8m'be E VCC R R2 Rc RE RS RL С. Cz CE 12 V 8.2 kg 3.9 ko 6.3 k2 3.3 kΩ 3 ko 3.9 ko 10 uF 1uF 100 u Assume the 2N3904 has a 8 =100, Veron} = 0.7V, VA= 100V, C=100, C=13.9pF and Ce=8pF. Use the emission coefficient as n...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
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