We seek to analyze this AC circuit below, operating at a frequency f-50Hz 60/120 V 502 www -410 HE 252 www 120 We

We seek to analyze this AC circuit below, operating at a frequency f-50Hz 60/120° V 502 www -410 Ω HE 252 www 120 Ω We seek to simplify this circuit to its Thevenin equivalent, then study the power absorbed by a load to be connected to its end nodes 1. (20 pts) determine the equivalent impedance across these nodes, denoted by Zah, given in algebraic and polar form 2. (20 pts) determine the open nodes circuit voltage across the j20 impedance, and denote that by V, give the result in phasor form Vth/0th and in time domain Vih(t) 3. (10 pts) Redraw the equivalent Thevenin circuit in phasor form and connect it to an unknown load impedance Z₁ 4. (10 pts) Determine the value of Z₁ for average Maximum power delivery 5. (20 pts) Write the expression of the instantaneous power P(t) at the load impedance Is the frequency of P(t) the same as that of source voltage? Explain 6. (10 pts) what is the average maximum power absorbed by the load? 7. (10 pts) Suppose now that we wish to reduce the absorbed average power by 50% from its maximum value, while keeping the same load, by what factor should Vth be modified? Explain.

 

We seek to analyze this AC circuit below, operating at a frequency f-50Hz 60/120 V 502 www -410 HE 202 320 (2 We seek to simplify this circuit to its Thevenin equivalent, then study the power absorbed by a load to be connected to its end nodes 1. (20 pts) determine the equivalent impedance across these nodes, denoted by Zb. given in algebraic and polar form 2. (20 pts) determine the open nodes circuit voltage across the j20 impedance, and denote that by V. give the result in phasor form V/0th and in time domain va(t) 3. (10 pts) Redraw the equivalent Thevenin circuit in phasor form and connect it to an unknown load impedance Z 4. (10 pts) Determine the value of Z for average Maximum power delivery 5. (20 pts) Write the expression of the instantaneous power P(t) at the load impedance Is the frequency of P(t) the same as that of source voltage? Explain 6. (10 pts) what is the average maximum power absorbed by the load? 7. (10 pts) Suppose now that we wish to reduce the absorbed average power by 50% from its maximum value, while keeping the same load, by what factor should Vth be modified? Explain.