Chapter 32: Q. 1 (page 923)

The emf phasor in FIGURE EX32 .1 is shown at $t = 2.0 m s$ .
a. What is the angular frequency $ω$ ? Assume this is the first rotation.
b. What is the peak value of the emf?

Short Answer

Expert verified

The angular frequency $ω = 1200 r a d / s$ and peak value of emf is $E_{0} = 71 V$ .

Step by step solution

Part (a) Step 1: Given information

We are given that

$t = 2 m s \emptyset = 180^{\circ} - 150^{\circ} = 45^{\circ}$

(as the phasor rotates anticlockwise towards X-axis)

Part (a) Step 2: Calculation

As we know that-

$E = E_{0} \cos (ω t + \emptyset)$

Now converting 135 degree into radian

$135^{\circ} = 135^{\circ} \times \frac{πrad}{180^{\circ}} = \frac{3 π}{4}$

From here,

$ω t = \frac{3 π}{4} ω (2 \times 10^{- 3}) = \frac{3 π}{4} ω \approx 1200 r a d / s$

Part (b) Step 1: Given information

We are given that

$E = 50 V$ when $ω t = 0$ and $\emptyset = 45^{\circ}$ .

Part (b) Step 2: Calculation

Now from the expression-

$E = E_{0} \cos (ω t + \emptyset) 50 V = E_{0} \cos (0 + 45^{\circ}) E_{0} = \frac{50 V}{\cos (45^{\circ})} E_{0} = 71 V$

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The emf phasor in FIGURE EX32 .1 is shown at $t = 2.0 m s$ .
a. What is the angular frequency $ω$ ? Assume this is the first rotation.
b. What is the peak 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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The emf phasor in FIGURE EX32 .1 is shown att=2.0ms.a. What is the angular frequency ω? Assume this is the first rotation.b. What is the peak 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

Mechanics and Materials

Modern Physics

Further Mechanics and Thermal Physics

Space Physics

Medical Physics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

The emf phasor in FIGURE EX32 .1 is shown at $t = 2.0 m s$ .
a. What is the angular frequency $ω$ ? Assume this is the first rotation.
b. What is the peak value of the emf?