across each element (V = I*R) and using KVL to formulate an equation. KVL states that the sum of voltages in a closed loop is always equal to zero. For first loop with current i1, -10 + 400 i, + 200(i – iz) + 10 = 0 The (-10) is the voltage from the voltage source on the left. The negative sign indicates the flow of current from negative to positive terminal. The (+10) indicates the voltage of the source on the right. The positive sign is for the flow of current from positive to negative terminal. For second loop with current i2, - 10 + 200( iz - i1) + 500 iz + 100( iz – i3) = 0 For the third loop with current i3, the current source dominates and the current i3 is equal to the current provided by the current source. iz = - 0.1 A The negative sign indicates that the 100 mA current is opposite in direction to the assumed current i3. Thus, there are 2 unknowns and 2 equations to solve linearly. Find the values of i, and i2. The current across the 200 ohm resistor is i1- iz in the downward direction. If they specify the current flowing from bottom to top, then the subtraction is inversed (i2 – i1).
across each element (V = I*R) and using KVL to formulate an equation. KVL states that the sum of voltages in a closed loop is always equal to zero. For first loop with current i1, -10 + 400 i, + 200(i – iz) + 10 = 0 The (-10) is the voltage from the voltage source on the left. The negative sign indicates the flow of current from negative to positive terminal. The (+10) indicates the voltage of the source on the right. The positive sign is for the flow of current from positive to negative terminal. For second loop with current i2, - 10 + 200( iz - i1) + 500 iz + 100( iz – i3) = 0 For the third loop with current i3, the current source dominates and the current i3 is equal to the current provided by the current source. iz = - 0.1 A The negative sign indicates that the 100 mA current is opposite in direction to the assumed current i3. Thus, there are 2 unknowns and 2 equations to solve linearly. Find the values of i, and i2. The current across the 200 ohm resistor is i1- iz in the downward direction. If they specify the current flowing from bottom to top, then the subtraction is inversed (i2 – i1).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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