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Chapter 32: Q. 1 (page 923)

The emf phasor in FIGURE EX32 .1 is shown att=2.0ms.

a. What is the angular frequency 蝇? Assume this is the first rotation.

b. What is the peak value of the emf?

Short Answer

Expert verified

The angular frequency 蝇=1200rad/s and peak value of emf isE0=71V.

Step by step solution

01

Part (a) Step 1: Given information

We are given that

t=2ms鈭�=180鈭�-150鈭�=45鈭�

(as the phasor rotates anticlockwise towards X-axis)

02

Part (a) Step 2: Calculation

As we know that-

E=E0cos(蝇t+鈭�)

Now converting 135 degree into radian

135鈭�=135鈭�脳蟺谤补诲180鈭�=3蟺4

From here,

蝇t=3蟺4蝇(2脳10-3)=3蟺4蝇鈮�1200rad/s

03

Part (b) Step 1: Given information

We are given that

E=50Vwhen 蝇t=0and 鈭�=45鈭�.

04

Part (b) Step 2: Calculation

Now from the expression-

E=E0cos(蝇t+鈭�)50V=E0cos(0+45鈭�)E0=50Vcos(45鈭�)E0=71V

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Most popular questions from this chapter

An inductor is connected across an oscillating emf. The peak current through the inductor is 2.0A. What is the peak current if:

a. The inductance Lis doubled?

b. The peak emf E0is doubled?

c. The frequency Vis doubled?

FIGURE Q32.1shows emf phasors a, b, and c.

a. For each, what is the instantaneous value of the emf?

b. At this instant, is the magnitude of each emf increasing, decreasing, or holding constant?

A resistor is connected across an oscillating emf. The peak current through the resistor is2.0A What is the peak current if:

a. The resistance Ris doubled?

b. The peak emf E0is doubled?

c. The frequency vis doubled?

In the series RLC circuit represented by the phasors of FIGURE Q32.7, is the EMF frequency less than, equal to, or greater than the resonance frequency 蝇0? Explain.

A seriesRLCcircuit consists of a 25鈩�resistor, a 0.10Hinductor, and a100mFcapacitor. It draws a2.5Armscurrent when attached to a 60Hzsource. What are (a) the emfErms, (b) the phase angle蠒and (c) the average power loss?

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