Determine v va vt in both its rectangular and polar forms

Question

1. In the series RL circuit shown in Fig. voltage V_L leads voltage V_R by 90° (i.e.. if the angle of VR is 0°. the angle of is 90°). Assume V_R = 1 ∠0^oV and V_L = 1∠90°V.

(a) Write V_R and V_L in rectangular form.

(b) Determine V = V_A+ V_L in both its rectangular and polar forms.

(c) Write the real and imaginary parts of V.

A series RL circuit for problem P1.

2. Repeat problem 1 if V_R = 10 ∠-45°V and V_L = 5 ∠45°V.

3. Repeat problem 1 if V_R = 9 ∠-26.6°V and V_L = 4.5 ∠63.4°V.