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Chapter 32: Q. 3 (page 923)

A $110 H z$ source of emf has a peak voltage of $50 V$ . Draw the emf phasor at $t = 3.0 m s$ .

Short Answer

Expert verified

Required emf phasor is:

Step by step solution

01

Given information

We are given that Peak voltage = $50 V$ ,frequency = $110 H z$ , $t = 3 x 10^{- 3} s$

02

Explanation

We know that $ω = 2 π f$

$ω = 2 π \times 110 H z ω = 220 π r a d / s$

then, We need to find angle $θ$

$θ = ω t = 220 π \times 3 \times 10^{- 3} = 0.66 π θ = \frac{2}{3} π x 57.29 ° (1 r a d = 57 . 29^{\circ}) θ ≃ 120^{\circ}$

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Most popular questions from this chapter

A capacitor is connected across an oscillating emf. The peak current through the capacitor is $2 A .$ What is the peak current if:

a. The capacitance $C$ is doubled?

b. The peak emf $E 0$ is doubled?

c. The frequency $v$ is doubled?

a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency

$ω_{L} = {(\frac{1}{ω_{o}^{2}} - \frac{1}{2} R^{2} C^{2})}^{\frac{- 1}{2}}$

b. A series RLC circuit with $ε_{o} = 10.0 V$ consists of a $1.0 Ω$ resistor, a $1.0 μ H$ inductor, and a $1.0 μ F$ capacitor. What is $V_{L}$ at $ω = ω_{o}$ and $ω = ω_{L}$ ?

For an RC filter circuit, show that $V_{R} = V_{C} = \frac{ε_{0}}{\sqrt{2}}$ at $ω = ω_{c}$ .

An inductor has a peak current of $330 μ A$ when the peak voltage at $45 M H z$ is $2.2 V$

a. What is the inductance?

b. If the peak voltage is held constant, what is the peak current at $90 M H z$ ?

a. Evaluate $V_{C}$ at emf frequencies $1, 3, 10, 30, 100 K H z$

b. Graph $V_{C}$ versus frequency. Draw a smooth curve through your five points.

See all solutions

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