Now let\'s apply Z=R2+[L(1/C)]2 and tan=X/R to a specific R-L-C circuit. The cir

Question

Now let's apply Z=R2+[L(1/C)]2 and tan=X/R to a specific R-L-C circuit. The circuit layout is shown in (Figure 1) . Suppose that its components have values R=300, L=60mH, C=0.50F, V=50V, and =10,000rad/s. Find the reactances XL, XC, and X, the impedance Z, the current amplitude I, the phase angle , and the voltage amplitude across each circuit element.

Part A - Practice Problem: In a series circuit, suppose R=190, L=340mH, C=0.85F, V=75V, and =5250rad/s. Find the reactance XL. Express your answer in ohms to two significant figures.

Part B - Practice Problem: Find the reactance XC. Express your answer in ohms to two significant figures.

Part C - Practice Problem: Find the impedance Z. Express your answer in ohms to two significant figures.

Part D - Practice Problem: Find the current amplitude I. Express your answer in amperes to two significant figures. A

Part E - Practice Problem: Find the phase angle . Express your answer in degrees to two significant figures.

Part F - Practice Problem: Find the voltage amplitude across the resistor. Express your answer in volts to two significant figures. V

Part G - Practice Problem: Find the voltage amplitude across the inductor. Express your answer in volts to two significant figures. V

Part H - Practice Problem: Find the voltage amplitude across the capacitor. Express your answer in volts to two significant figures. V

Now let's apply Z=R2+[L(1/C)]2 and tan=X/R to a specific R-L-C circuit. The circuit layout is shown in (Figure 1) . Suppose that its components have values R=300, L=60mH, C=0.50F,V=50V, and =10,000rad/s. Find the reactances XL, XC, and X, the impedance Z, the current amplitude I,the phase angle , and the voltage amplitude across each circuit element.

Part A - Practice Problem:

In a series circuit, suppose R=190, L=340mH, C=0.85F, V=75V, and =5250rad/s. Find the reactance XL.

Express your answer in ohms to two significant figures.

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Part B - Practice Problem:

Find the reactance XC.

Express your answer in ohms to two significant figures.

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Part C - Practice Problem:

Find the impedance Z.

Express your answer in ohms to two significant figures.

SubmitMy AnswersGive Up

Part D - Practice Problem:

Find the current amplitude I.

Express your answer in amperes to two significant figures.

SubmitMy AnswersGive Up

Part E - Practice Problem:

Find the phase angle .

Express your answer in degrees to two significant figures.

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Part F - Practice Problem:

Find the voltage amplitude across the resistor.

Express your answer in volts to two significant figures.

SubmitMy AnswersGive Up

Part G - Practice Problem:

Find the voltage amplitude across the inductor.

Express your answer in volts to two significant figures.

SubmitMy AnswersGive Up

Part H - Practice Problem:

Find the voltage amplitude across the capacitor.

Express your answer in volts to two significant figures.

Explanation / Answer

R = 300,

L = 60 mH,

C = 0.50 F ,

V = 50 V ,

and = 10,000 rad/s

XL = X L = 10,000 X 60 X 10-3

= 600

Xc = 1 / C

= 1 / 10000 X 0.5 X 10-6  

= 200

Z = ( ( R2 + ( XL - Xc )2 )1/2   

Z = ( ( 3002 + ( 600 - 200 )2 )1/2   

Z = 500

i = Vo / Z

i = 50 / 500

i = 0.1 A

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Part A

In a series circuit, suppose R = 190, L = 340mH, C = 0.85F, V = 75V, and = 5250rad/s.

XL = X L = 5250 X 340 X 10-3

= 1785

Part B

Xc = 1 / C

= 1 / 5250 X 0.85 X 10-6  

= 224

Part C -

Z = ( ( R2 + ( XL - Xc )2 )1/2   

Z = ( ( 1902 + ( 1785 - 224 )2 )1/2   

Z = 1572.52

Part D

i = Vo / Z

i = 75 / 1572.52

i = 0.0476 A

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