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Chapter 32: Q. 4 (page 905)

Draw the phasor for the emf $ε = (170) \cos ((2 π \times 60 h z) t)$ at $t = 60 m s$

Short Answer

Expert verified

Required figure is given below.

Step by step solution

01

Given information

We need to draw phasor diagram of given equation $ε = (170) \cos ((2 π \times 60 H z) t) a t t = 60 m s$

02

Explanation

We are given an expression for the instantaneous emf by

$\in = (170 V) \cos ((2 π \times 60 H z) t)$

We know that the general expression of instantaneous emf

$\in = \in_{\circ} \cos (w t + ϕ)$

By comparing both equation

$θ = (2 π \times 60 H z) t θ = (2 π \times 60 H z) (60 \times 10^{- 3} s) θ = 22.62 r a d θ = 216^{\circ}$

Now, we can draw the phasor by rotating counterclockwise $216^{\circ}$ from positive x-axis till the instantaneous emf becomes $- 137.5 V$ as shown below.

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Most popular questions from this chapter

A series RLC circuit consists of a $50 Ω$ resistor, a localid="1650177582139" $3.3 m H$ inductor, and a localid="1650177586647" $480 n F$ capacitor. It is connected to an oscillator with a peak voltage of localid="1650177591401" $5.0 V$ . Determine the impedance, the peak current, and the phase angle at frequencies :

(a) localid="1650177630395" $3000 H z$ (b) localid="1650177635339" $4000 H z$ and (c) localid="1650177638990" $5000 H z .$

A resistor is connected across an oscillating emf. The peak current through the resistor is $2.0 A$ What is the peak current if:

a. The resistance $R$ is doubled?

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

c. The frequency $v$ is doubled?

The motor of an electric drill draws a $3.5 A$ rms current at the power-line voltage of $120 V$ rms. What is the motor's power if the current lags the voltage by $20 °$ .

A $0.30 μ F$ capacitor is connected across an AC generator that produces a peak voltage of $10 V$ . What is the peak current to and from the capacitor if the emf frequency is

(a) $100 H z$ ?

(b) $100 k H z$ ?

a. For an RC circuit, find an expression for the angular frequency at which $V_{R} = \frac{1}{2} ε_{0}$

b. What is V_C at this frequency?

See all solutions

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