Q. 2 The emf phasor in FIGURE 聽EX32.... [FREE SOLUTION]

Chapter 32: Q. 2 (page 923)

The emf phasor in FIGURE EX32.2 is shown at $t = 15 m s$ .
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 $244 r a d / s$ and instantaneous value of the emf is $- 10 V$ .

Step by step solution

Part (a) Step 1: Given information

We are given that time $t = 15 m s$ , $E_{o} = 12 V$ and $鈭� = 150^{鈭�}$ (as the phasor rotates anticlockwise towards X-axis)

Part (a) Step 2: Calculation

As we know that-

E = E_{0} \cos (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

$210^{鈭�} = 210^{鈭�} \frac{蟺谤补诲}{180^{鈭�}} = \frac{7 蟺谤补诲}{6}$

Now,

$蝇 t = \frac{7 蟺谤补诲}{6} 蝇 (15 脳 10^{- 3}) = \frac{7 蟺谤补诲}{6} 蝇 = 244 r a d / s$

Part (b) Step 1: Given information

We are given that-

$E_{0} = 12 V 鈭� = 150^{鈭�}$

Part (b) Step 2: Calculation

As we know that peak value $E_{0} = 12 V$ will occur when $蝇 t = 0$

So now in the expression,

$E = E_{0} \cos (蝇 t + 鈭�) E = 12 V \cos (0 + 150^{鈭�}) E = - 10 V$

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91影视

The emf phasor in FIGURE EX32.2 is shown at $t = 15 m s$ .
a. What is the angular frequency $蝇$ ? Assume this is the first rotation.
b. What is the instantaneous value of the emf?

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Calculation

Part (b) Step 1: Given information

Part (b) Step 2: Calculation

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91影视

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

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Calculation

Part (b) Step 1: Given information

Part (b) Step 2: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Conservation of Energy and Momentum

Waves Physics

Nuclear Physics

Scientific Method Physics

Measurements

Study anywhere. Anytime. Across all devices.

The emf phasor in FIGURE EX32.2 is shown at $t = 15 m s$ .
a. What is the angular frequency $蝇$ ? Assume this is the first rotation.
b. What is the instantaneous value of the emf?