Please show work 1. Find XL for the following inductors. In each case, the frequ

Question

Please show work 1. Find XL for the following inductors. In each case, the frequency is 100 Hz. a. L = 250 milliHenries b. L = 50 microHenries 2. Find XC for the following capacitors. In each case, the frequency is 5 KHz. a. C = 10 microFarads b. C = 470 picoFarads 3. The peak voltage supplied to an AC circuit is 20 V. The peak current is 2.5 A. The angle between the voltage and current is 30 degrees. What is the power in Watts supplied to the circuit? 4. The rms voltage supplied to an AC circuit is 24 V. The rms current is 0.75 A. The angle between the voltage and current is -60 degrees. What is the power in Watts supplied to the circuit? 5. Convert to polar: a. 100 angle 30 degrees b. 50 angle -60 6. Convert to rectangular: a. 10 + j 20 b. 100

Explanation / Answer

1.

when L=250mH

XL =2pifL =2pi*100*250*10^-3 =157.08 ohms

when L=50uH

XL=2*pi*100*50*10^-6 =0.0314 ohms

2.

a)

C=10uF

Xc=1/2pifC =1/2pi*5*10^3*10*10^-6

Xc=3.18 ohms

b)

C=470pF

XC=1/2pi*5*10^3*470*10^-12

XC=67,725.5 ohms

3.

P=VIcosx =20*2.5*cos30

P=43.3 W

4.

P=2*24*0.75*cos(-60)

P=18 W

5.

a)100<30

86.6+j5

b)50<-60

25-j43.3

6.

a)10+20j

22.36<63.4

b)100-j20

101.98<-11.31

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