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Use block diagram reduction techniques and find closed loop
transfer function of the system whose block diagram is shown in Figure.
G4
G1
G2
c(t)
G3
Automatio
H2
H1

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Shown in the figure below is an electrical circuit containing three resistors and two batteries.Write down the Kirchhoff Junction equation and solve it for I1 in terms of I2 and I3. Write the result here:I1 = Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise.0 = Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components R1, 10V, R2, and 4V.0 = The resistors in the circuit have the following values: R1 = 11 Ω R2 = 4 Ω R3 = 1 Ω Solve for all the following (some answers may be negative):I1 = AmperesI2 = AmperesI3 = AmperesNOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R1,R2,R3 and I1,I2,I3. Use numerical values of 10 and 4 for the voltages.
Four circuits have the form shown in the diagram below. The capacitor is initially uncharged and the switch S is open. Rank the circuits according to the current just after switch S is closed least to greatest. The values of the emf E, resistance R, and capacitance C for each of the circuits are
The capacitor in the figure is initially uncharged and the switch is at position c and not connected to either side of the circuit. At t = 0, the switch is flipped to position a for 20 ms, then flipped to position b for 10 ms, flipped back to position a for 20 ms again, and finally flipped to position c. Find the graph of the current through and the voltage across the capacitor as functions of time.
Consider the circuit below. The capacitor has a capacitance of 11 mF and starts out uncharged. The switch is closed at time t = 0. @ 2 W V = 12 V F2 R₁ = 20 Diagram Description R₂=402 # 3 a. At time t= 0 (immediately after the switch is closed), what is battery? Hint for (a) At time t= 0, the current from the battery is b. A long time after the switch is closed (and capacitor is fully charged), what is the current flowing out from the battery? Hint for (b) 80 F3 R₂ = 30 A long time after the switch is closed, the current from the battery is c. What is the charge on the capacitor a long time after the switch is closed? Hint for (c) The charge on the capacitor a long time after the switch is closed is E m $ R₁ = 30 F4 R % 5 current flowing out from the F5 T 6 F6 Y A. mC. & 7 AA F7 U * 00 8 DII FB ( 9 8 F9
Apply the Junction Rule at D to determine the current going through RCD in terms of I2 and I3.
Shown in the figure below is an electrical circuit containing three resistors and two batteries. R₁ www 4 R3 www I 10 + ww 13 Write down the Kirchhoff Junction equation and solve it for I, in terms of 12 and 13. Write the result here: 11 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 10V, R1, 4V, and R2. 0 => The resistors in the circuit have the following values: • R₁ = 22 R2=502 R3 = 132 Solve for all the following (some answers may be negative): 1₁ = 12 = 13 = Amperes Amperes Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R1, R2, R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.
A capacitor of capacitance C and resistors of resistance R are connected in series as shown in the picture below. The switch is initially open. Which of the following statements is true after the switch has been closed for a very long time? C R AVR = 0 AVc = 0
Consider the following circuit diagram, with Vi 50, R2 = 20, and R3 = 102. = 10v, V2 = 20v, R1 R, R, R, What is the voltage drop across each resistor, and what is the current in each resistor. Be sure to indicate direction. You will need to use Kirchhoff's loop and junction rules for this problem.
More complex circuits can have multiple branches in parallel, but the junction rule is still obeyed. Take for example this branching point—called a junction or node, which gives the rule its name—from a circuit. An illustration shows the currents along the three wires of a junction point. Current I1 flows upward, into the junction. Current I2 flows upward and to the left, out of the junction. Current I3 flows upward and to the right, out of the junction. If current I1 = 4.30 Ais flowing into the junction, and I2 = 2.30 A of current flows out of one of the branches, how much current I3(in A) flows out of the other branch?
Shown in the figure below is an electrical circuit containing three resistors and two batteries.Write down the Kirchhoff Junction equation and solve it for I1 in terms of I2 and I3. Write the result here:I1 = I2−I3 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise.0 = I3R3+10−I1R1+4 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R2, and R1.0 = −I2R2−I1R1+4 The resistors in the circuit have the following values: R1 = 3 Ω R2 = 5 Ω R3 = 11 Ω Solve for all the following (some answers may be negative):I1 = AmperesI2 = AmperesI3 = Amperes
Apply the loop rule to loop afedcba.

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