Output of a Logic Circuit

20. Find the expression for the output, C, of the logic circuit shown in the following figure. Please see attachment for diagram and multiple choice options.

Laplace transform of the transfer function

I am attaching a scanned in image of a recent problem. Please answer and give method of obtaining the answer. Thanks,

Electric Heater

The Problem: An Electric Heater is connected to a constant 250-V source and absorbs 1000 W. Subsequently, this heater is connected to a constant 210 V source. What power does it absorb from the 210-V source? What is the resistance of the heater? My Answer: Using Hint from problem 2.5-7: Model the electrical heater as a resistor. V=250V P=1000W P=i*250=100W=i^2*R I=1000/250=4 4^2*R=1000 16*R=1000 R=1000/16=62.5 Ohms Now take V=210V i=210V/62.5Ohms=3.36A i^2*R=P 3.36^2*62.5Ohms=705.6W Final answer: 705.6W

Determine the voltage drop (from top to bottom) across the 16 ohm resistor the circuit shown.

Referring to the attached document: Determine the voltage drop (from top to bottom) across the 16 ohm resistor the circuit shown. My Answer: 16Ohm/(16Ohm+8Ohm)*12V=8V Additionally: Referring to the circuit shown, determing the voltage drop across the 4 ohm resistor: My Answer: 4Ohms/(4Ohms+8Ohms)*12V=4/12*12V=4V Additionally: What is the voltage V? My Answer: I=12/[(16*8)/(16+8)+(4*8)/(4+8)]=12/(5.33+2.66)=12/8=1.5A V=1.5A*[4/(4+8)+16/(8+16)] 1.5A*(.3333+.6667)= 1.5A*1Ohm=1.5V Final answer: 1.5V

Thevenin Equivalent Voltage

Please refer to the diagram attached. A resistor, R, was connected to a circuit box as shown. The voltage, v, was measured. The resistor was changed, and the voltage was measured again. The results are shown in the table. Determine the Thevenin equivalent voltage vt of the circuit within the box. My Answer: Rc=Vt/it I=6V/(R+2KOhm)=2V/(R+4KOhm) 6*R+4*10^3=2*R+4*10^3 4R=(-20)*10^3 R=-5kOhms I=6V/(-5KOhm+2KOhm)=6/(-3*10^3)=2*10^3 2/(-5KOhm+4KOhm)=2/(-1*10^3)=(-2*10^-3) (-2*10^-3)A*(-5*10^3)Ohm=10V Final Answer is 10V What is the Thevenin equivalent resistance Rt of the circuit described in this Problem? My Answer: Take Rt from Question #10: -5KOhm