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Problem 4. Consider the circuit shown below. Assume the current is given by i(t)cos(2T100 +30°) A a. Find an expression in rectangular coordinates for phasors I, VR,VL, and V b. Sketch a phasor diagram showing the phasors I, VR,andV c. Sketch a phasor diagram showing the vector sumV-VR+ V, which should match your result in a. Hint: The phasor diagram for part c is shown below to help you check your work 5 0 4.5 5 Real 0.5 -2

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3.33+4.231. -5. 38 -78 V 1 3u 4- Jt Nv UR 51-1

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