GRAPHIC METHOD OF VECTOR ADDITIONVectorsCP-02Page 18Rev. 0Figure 19 Graphic Addition - Example 1Step 5.Determine the magnitude and direction of the resultant.a.Measure the displacement and angle directly from the graph using a rulerand a protractor.b.Determine the components of the resultant by projection onto the x- andy-axes.Example 1:What are the magnitude and direction of the resultant for the following: F = 31units at 300 , F = 4 units at 60 , and F = 8 units at 180 ? The three vectors ando o o2 3their resultant are shown in Figure 19.Answer:F = 4 units at 150RoExample 2:Given X = 50 Ohms at 90 , R = 50 Ohms at 0 , and X = 50 Ohms at 270 , whatL co o ois the Resultant Z? (See Figure 20) Note: X is inductive reactance, X isL ccapacitive reactance and Z is impedance.Answer:Z = 50 Ohms at 0^{o}

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