Use the concept of current division to find the steady-state expression for i o

Question

Use the concept of current division to find the steady-state expression for io in the circuit in (Figure 1) if ig=60cos250tmA. Write the steady-state expression for io(t) as io=Iocos(t+), where 180<180. Suppose that R = 150 .

Part A

Find the numerical value of Io.

Express your answer to three significant figures and include the appropriate units.

SubmitMy AnswersGive Up

Part B

Find the numerical value of .

Express your answer using three significant figures.

SubmitMy AnswersGive Up

Part C

Find the numerical value of .

Express your answer using three significant figures.

Use the concept of current division to find the steady-state expression for io in the circuit in (Figure 1) if ig=60cos250tmA. Write the steady-state expression for io(t) as io=Iocos(t+), where 180<180. Suppose that R = 150 .

Part A

Find the numerical value of Io.

Express your answer to three significant figures and include the appropriate units.

Io=

SubmitMy AnswersGive Up

Part B

Find the numerical value of .

Express your answer using three significant figures.

=

SubmitMy AnswersGive Up

Part C

Find the numerical value of .

Express your answer using three significant figures.

Explanation / Answer

ig=60cos(250t) mamps =60*10^-3<0 amps

w=250 rad/sec

xl=jwl=j250*800*10^-3=j200 ohms

xc=1/(jwc)=1/(j250*100*10^-6)=-j40 ohms

io=[60*10^-3<0*(20-j40)]/[20-j40+150+j200]

io=0.0114<-106.699 amps

io(t)=0.0114cos(250t-106.699) amps

angle=-106.699 degrees

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.