1.) Two coupled inductors, L 1 =20 H and L 2 =45 H, have the coupling coefficien

Question

1.) Two coupled inductors, L1=20 H and L2=45 H, have the coupling coefficient of 0.9. What is the value of mutual inductance, M?

A.) 33.33 H

B.) 30 H

C.) 27 H

D.) 32.5 H

HINT: 30 H is NOT the answer!

2.)

In the circuit of Figure 4-2, let N1=1000 turns, N2=2000 turns, R=5 (?), Z1=30+j100 (?) and ZL=250+j300 (?). IfV1(rms)=750 V, which of the following statements is true?

In the circuit of Figure 4-2, let N1=1000 turns, N2=2000 turns, R=5 (?), Z1=30+j100 (?) and ZL=250+j300 (?). IfV1(rms)=750 V, which of the following statements is true?

A. |I1 |(rms)=2 A B. The average power delivered to ZL is 2359.48 W. C. | I2 |(rms)=5 A D. |V2|(rms)=35 V HINT: Option A.) is NOT the answer!

Explanation / Answer

.........

1. mutual inductance M = 0.9 *sqrt(20*45) = 27 H

so C

2. V2 = V1*N2/N1 = 750*2 = 1500 V

|I2(rms)| = V2(rms) / |(Z1 + ZL)| = 3.07

The average power delivered to ZL = |I2(rms)|^2 * real(ZL) = 3.07^2 * 250 = 2356.225 w

so

B

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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