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Chapter 32: Q. 24 (page 925)

FIGURE EX32.24 shows voltage and current graphs for an inductor.

a. What is the emf frequency f?

b. What is the value of the inductance L?

Short Answer

Expert verified

a. The emf frequency f=50Hz

b. The inductance L=1.5915脳10-3H

Step by step solution

01

Part a) Step 1 : Given information 

We have been given that

Time period of emf is(T)=0.02seconds

We have to find emf frequency by using the voltage and current graph .

02

Detailed solution 

As we know,

Emf frequency is the number of oscillations in voltage in one second

f=1T=10.02鈬�f=50Hz

03

Part b) Step 1 : Given information 

We have been given that

Peak voltageV鈭�=1V

Peak currentI鈭�=2A

We need to find out the inductance of the inductor using graph and given values .

04

Detailed Solution

As we know ,

Inductive Reactance ;XL

XL=VImaxXL=1V2A=0.5惟

Also we know that ,蝇is angular frequency of current

蝇=2蟺f=2蟺脳50=100蟺

XL=蝇L鈬�L=XL蝇=0.5100蟺鈬�L=1.5915脳10-3H

Thus, this is the value of inductance.

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Most popular questions from this chapter

A series RLC circuit has a 200kHz resonance frequency. What is the resonance frequency if

a. The resistor value is doubled?

b. The capacitor value is doubled?

The telecommunication circuit shown in FIGURECP32.71has a parallel inductor and capacitor in series with a resistor.

a. Use a phasor diagram to show that the peak current through the resistor is

I=蔚0R2+1XL-1XC-2

Hint: Start with the inductor phasor 谓L.

b. What is Iin the limits 蝇鈫�0and 蝇鈫�鈭�?

c. What is the resonance frequency 蝇o? What is Iat this frequency?

The telecommunication circuit shown in FIGURE CP32.71 has a parallel inductor and capacitor in series with a resistor.

a. Use a phasor diagram to show that the peak current through the resistor is

I=蔚0R2+(1XL-1XC)-2

b. What is I in the limits 蝇鈫�0and 蝇鈫�鈭�?

c. What is the resonance frequency 蝇0? What is I at this frequency?

For a series RLC circuit, show that

a. The peak current can be written I=Imaxcos蠒.

b. The average power can be writtenPsource=Pmaxcos2蠒.

FIGURE鈥�CP32.68shows voltage and current graphs for a series RLC circuit.

a. What is the resistance R?

b. If L=200渭H, what is the resonance frequency in Hz?
See all solutions

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