nodal_analysis_problem6 - Problem 3 Topic: Nodal Analysis...

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Unformatted text preview: Problem 3 Topic: Nodal Analysis Problem Statement: Modify the circuit in problem 1 by connecting the top of the 50 resistor and the top of the 10 resistor with a wire (shown below). a) Find i and V using nodal analysis b) Which way is the current flowing through the current controlled voltage source (CCVS)? Negative to positive (up) or vice versa (down)? c) Find the value of the current through the CCVS. Solution: Careful examination of the new circuit reveals that the addition of the new wire places all of the elements in parallel. We can redraw and label the diagram as follows: 3 Note because all elements are in parallel, we have V = 9 V. Hence the value of i can be calculated 9 using the dependent source. i = 100 = 90 mA. Apply KCL at node A. i + .100 = i1 + i2 + i3 V V + i2 + i + .100 = 50 10 9 9 .090 + .100 = + i2 + 50 10 i2 = .090 + .100 - .180 - .9 i2 = -890 mA a) V = 9 V; i = 90 mA b) In the diagram above, the current through the CCVS (i2 ) was defined in the downward direction. However, our analysis revealed i2 to be negative. Hence, i2 must flow from the negative terminal to the positive terminal (upward). c) i2 = -890 mA 4 ...
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This note was uploaded on 10/30/2011 for the course EE 215 taught by Professor Unknown during the Spring '05 term at University of Washington.

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