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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 ω? Assume this is the first rotation.

b. What is the peak value of the emf?

Short Answer

Expert verified

The angular frequency ω=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∅=180∘-150∘=45∘

(as the phasor rotates anticlockwise towards X-axis)

02

Part (a) Step 2: Calculation

As we know that-

E=E0cos(ωt+∅)

Now converting 135 degree into radian

135∘=135∘×πrad180∘=3π4

From here,

ωt=3π4ω(2×10-3)=3π4ω≈1200rad/s

03

Part (b) Step 1: Given information

We are given that

E=50Vwhen ωt=0and ∅=45∘.

04

Part (b) Step 2: Calculation

Now from the expression-

E=E0cos(ωt+∅)50V=E0cos(0+45∘)E0=50Vcos(45∘)E0=71V

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Most popular questions from this chapter

Show that the power factor of a series RLC circuit iscosϕ=RZ

A 110Hzsource of emf has a peak voltage of 50V. Draw the emf phasor at t=3.0ms.

A series RLC circuit consists of a 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a 2.1mH inductor, and a 550nF capacitor. It is connected to a 50V rms oscillating voltage source with an adjustable frequency. An oscillating magnetic field is observed at a point 2.5mm from the center of one of the circuit wires, which is long and straight. What is the maximum magnetic field amplitude that can be generated?

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.

Consider the parallel RLC circuit shown in FIGURECP32.72.

a. Show that the current drawn from the emf is

I=εo1R2+1ωL-ωC2

Hint: Start with a phasor that is common to all three circuit elements.

b. What is Iin the limits ω→0and ω→∞?

c. Find the frequency for which Iis a minimum.

d. Sketch a graph of Iversus ω.
See all solutions

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