Chapter 5, Problem 28P

In the current divider circuit shown in Fig. P5.28, the sum of the current phasors $I_1$ and $I_2$ is equal to the total current phasor I (i.e., $I=I_1+I_2$ ). Suppose $I_1=1\angle 0°$ and $I_2=1\angle 90°$, both measured in mA.

 

Figure P5.28 A current divider circuit for problems P5-28 and P5-29.

1. Write $I_1$ and $I_2$
2. in rectangular form.
3. Determine the total current phasor $I$
4. in both rectangular and polar forms
5. Suppose $Z_R=1000\Omega$ and $Z_C=\frac{{10}^3}{j}\Omega$. Write $V_R$ and $V_C$
6. as complex numbers in both rectangular and polar forms if $V_R=I_1\times Z_R$ and $V_C=I_2\times Z_C$.