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Chapter 32: Q. 2 (page 923)

The emf phasor in FIGURE EX32.2 is shown at t=15ms.

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

b. What is the instantaneous value of the emf?

Short Answer

Expert verified

The angular frequency 蝇is 244rad/sand instantaneous value of the emf is-10V.

Step by step solution

01

Part (a) Step 1: Given information

We are given that time t=15ms, Eo=12Vand 鈭�=150鈭�(as the phasor rotates anticlockwise towards X-axis)

02

Part (a) Step 2: Calculation

As we know that-

E=E0cos(蝇t+鈭�)

蝇t=180鈭�+鈭�蝇t=180鈭�+30鈭�蝇t=210鈭� (as phasor rotates anticlockwise)

Now converting degrees into radian

210鈭�=210鈭�蟺谤补诲180鈭�=7蟺谤补诲6

Now,

蝇t=7蟺谤补诲6蝇(15脳10-3)=7蟺谤补诲6蝇=244rad/s

03

Part (b) Step 1: Given information

We are given that-

E0=12V鈭�=150鈭�

04

Part (b) Step 2: Calculation

As we know that peak valueE0=12V will occur when 蝇t=0

So now in the expression,

E=E0cos(蝇t+鈭�)E=12Vcos(0+150鈭�)E=-10V

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Most popular questions from this chapter

II An electric circuit, whether it's a simple lightbulb or a complex amplifier, has two input terminals that are connected to the two output terminals of the voltage source. The impedance between the two input terminals (often a function of frequency) is the circuit's input impedance. Most circuits are designed to have a large input impedance. To see why, suppose you need to amplify the output of a high-pass filter that is constructed with a 1.2k惟 resistor and a 15渭F capacitor. The amplifier you've chosen has a purely resistive input impedance. For a 60Hz signal, what is the ratio VRload/VRno loadof the filter's peak voltage output with (load) and without (no load) the amplifier connected if the amplifier's input impedance is (a) 1.5k惟and (b) 150k惟 ?

A 20mHinductor is connected across an AC generator that produces a peak voltage of 10V. What is the peak current through the inductor if the emf frequency is (a)

In FIGURE, what is the current supplied by the emf when

(a) the frequency is very small and

(b) the frequency is very large

A series RLC circuit with a 100惟resistor dissipates 80Wwhen attached to a 120V/60Hzpower line. What is the power factor?

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 ?
See all solutions

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