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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

Lightbulbs labeled 40W,60Wand 100W are connected to a120V/60Hzpower line as shown in the figure .What is the rate at which energy is dissipated in each bulb?

a. Evaluate VR in figure at emf frequencies100,300,1000,3000,10000Hz

b. Graph VRversus frequency. Draw a smooth curve through your five points.

Figure P32.47shows a parallel RC circuit.

a. Use a phasor-diagram analysis to find expressions for the peak currents IRand IC.

b. Complete the phasor analysis by finding an expression for the peak emf current I.

The resonance frequency of a series RLCcircuit is 1000Hz. What is the resonance frequency if:

a. The resistance Ris doubled?

b. The inductance Lis doubled?

c. The capacitance Cis doubled?

Use a phasor diagram to analyze the RL circuit of FIGURE P32.49. In particular,

a. Find expressions for I,VRandVL.

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

c. If the output is taken from the resistor, is this a low-pass or a high-pass filter? Explain.

d. Find an expression for the crossover frequency 蝇C.
See all solutions

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