Q1. In the lecture we did the analysis on the circuit below to find Iout and Vout. Continue the analysis to find
(1) the current through R4,
(2) the voltage across R5, and
(3) the power output by V1 and V2.
(Note: batteries not necessarily need to output energy; it can be charged - receiving energy).
Q2. For the following circuit with R1=1kΩ, R2=9kΩ, R3=10kΩ, R4=1kΩ, R5=1kΩ, V1=5V, and V2=10V, find current I and the voltage at node A.
Q3. A strain gauge is used to measure the bending of a metal beam. The strain gauge has a nominal resistance of 120 Ω and is plugged into the R4 position of the Wheatstone bridge.
It is expected the change of the strain gauge resistance will be within the range of ±2 Ω. R1 = R2 = R3 = 120 Ω. The excitation voltage V is 2 V. Derive the equation between the output voltage ΔV and the change in the strain gauge resistance ΔR. Plot the relationship between the two variables using EXCEL.
Evaluate the linearity of the graph. What if the expected change in strain gauge resistance is ±20 Ω?
Evaluate the linearity of the graph again under this condition.
Q4. A signal source (e.g., a sensor) that is most conveniently represented by its Thévenin equivalent has Vs = 10 mV (i.e., equivalent ideal voltage source) and Rs = 1 kΩ (i.e., equivalent internal resistance). If the source is measured by a measurement system (e.g., a voltmeter or a microcontroller) with a load resistance RL . Find the voltage VO that appears across the measurement system for RL = 100 kΩ, 10 kΩ, 1 kΩ and 100Ω. Also, find the lowest permissible value of RL for which the output voltage is at least 80% of the source voltage.
Q5. For the two AC waveforms below, what is the frequency f in Hz, angular frequency ω in rad/s, the peak to peak voltage Vp-p, and root mean square voltage VRMS?
a. ??(??) = 3.0 × sin(200???? + (??/2))
b. ??(??) = sin(????) + cos(????) Note for this one, use trigonometric formula to combine the sine and cosine term first.