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UNIVERSITY OF CALIFORNIA
Department of Electrical Engineering and Computer Sciences EE42/100 Fall 2011 Prof. Subramanian Test 1
- The circuit below is known as a resistive voltage divider
a) Assuming V (^) in is an ideal voltage source, derive an equation for V (^) out
b) Suppose I wanted to measure the voltage at Vout with a voltmeter.
i) Would I want the voltmeter to have a low or high resistance? Why?
ii) Redraw the circuit above to include the resistance of the voltmeter, and derive an equation for V (^) out as a function of the resistance of the voltmeter.
c) In the above analysis, you have assumed that Vin is an ideal voltage source. Suppose, instead of the voltage source, I use a Norton current source to drive the voltage divider as follows:
Derive an equation for Vout as a function of the various component values above.
- Consider the following circuit:
d) Analyze the circuit above to find Iy using superposition (again, just show the equations; no need to calculate a final solution).
e) Replace the dependent current source with a 2A constant current source. Derive the matrix equation to be solved if this circuit were to be solved by inspection.
