ASSESSMENT PROBLEM

objective $2-$Understand the condition for maximum real power delivered to a load in an ac circuit

$10\mathrm{.}8$ The source voltage in the circuit shown is $80cos250tV.$

a$)$ What impedance should be connected across terminals a and $b$ for maximum average power transfer?

b$)$ What is the average power transferred to the impedance in $($a$)?$

c$)$ Assume that the load is restricted to pure resistance. What size resistor connected across a and $b$ will result in the maximum average power transferred?

Answer: a$)128+j512$;

b$)1\mathrm{.}25$ W ;

d$)$ What is the average power transferred to the

c$)527\mathrm{.}76$; resistor in $($c$)?$

d$)487\mathrm{.}9$ mW $.$