Figure $4$: Circuit for Problem $4.$

Problem $4$: Application$-20\%$

The circuit shown in Figure $4$ consists of a load $($indicated by the boxed region$),$ a capacitor, and a voltage source. Find the following quantities.

a$)$ The real power absorbed by the load.

b$)$ The reactive power absorbed by the load.

c$)$ The apparent power absorbed by the load. Express as a complex number.

d$)$ The power factor of the impedance seen by the source. Indicate whether it is lagging or leading.

Now suppose that the capacitor value is changed to $25F.$

e$)$ What happens to the magnitude of the current being supplied by the source? Why?