(b) Figure Q.1(b) shows the waveform of two altemating voltage v(t) and i(t) for a circuit. (i) Write the general expression for both waveforms in the form below: Asin (wt + 9) (ii) State the phase relation between the two (2) waveforms. (iii) If Z= V/I represent the impedance of the circuit, find the elements and their values in the circuit in ohm, NIVERITI T NOLOGI KLA v(t), i(t) Current 250 V v(t) 75A i(t) wt 20 300 Time(second) TUHAN UNT KERANA

(b) Figure Q.1(b) shows the waveform of two altemating voltage v(t) and i(t) for a circuit. (i) Write the general expression for both waveforms in the form below: Asin (wt + 9) (ii) State the phase relation between the two (2) waveforms. (iii) If Z= V/I represent the impedance of the circuit, find the elements and their values in the circuit in ohm, NIVERITI T NOLOGI KLA v(t), i(t) Current 250 V v(t) 75A i(t) wt 20 300 Time(second) TUHAN UNT KERANA

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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C1 L1 R1 V1 Vout V1 contains the fundamental and its harmonics (fo, 2fo, 3fo, ...). The amplitude of the harmonics is inversely proportional to the harmonic number. V(fo) = 10 mV V(2fo) = 10mv/2 = 5 mV V(3fo) = 10mv/3 = 3.33 mV V(4fo) = 10mv/4 = 2.55 mV a) What is the minimum value of Q for the circuit that will attenuate the third harmonic (3fo) in Vout to be less than 1% of the fundamental? b) What is the amplitude of the fifth harmonic (5fo) as a percentage of the fundamental?
Consider the circuit below and answer the following questions. Vi1 R3 R1 Vo Vi2 + R2 a. Determine an equation that will relate V,, Vi1, Vi2, R1, R2, and R3. b. Consider V; as a sinusoid with 1mV amplitude and frequency = 1kHz. Give values of Vi2, R1, R2, and R3 such that V, is a sinusoid with amplitude = 1V and offset=3.5V.
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In the circuit, v₁ and ₂ are AC sources with = 100 rad/s. The phasor diagram shows the phasors of v₁ and v₂. It is not drawn to scale. You may assume the system is in steady state. V3 is a DC source. (a) What is v₂ where I is the period of the waveform ? (b) What is the waveform ia(t)? (c) What is the maximum value of the waveform va(t)? V3 L + V1 1 + + Va V2 V₂ a Im V₁ να Re |V1|: |V2|: alpha: V3: C: L: 2 V 3 V 30 degrees 3 V 10 mF 25 mH
1. Suppose that MATLAB is used to plot a sinusoidal signal. The following MATLAB code generates the signal and makes the plot. Draw a sketch of the plot that will be done by MATLAB. Determine the amplitude (A), phase ($), and period of the sinusoid and label the period on your plot. dt = 0.001; tt = = .05 dt : .15; Fo = 8; Z sqrt (2) * (1-j); xx = real( Z*exp( 2j*pi*Fo*tt ) ); plot tt, XX ), grid title( 'SECTION of a SINUSOID' ), xlabel('TIME (sec)')
A typical AC signal is the sinusoidal signal, and a general mathematical expression of a sinusoidal signal is: A cos(w.t+), where A is the amplitude, w is the frequency, t is time, is phase angle. For instance, the output voltage of an AC voltage source can be represent as: Vs (t) = 10 cos(2. t + 60°). To analyze AC circuits, we convert AC signals from the time domain to the frequency domain. Phasor is the resulting frequency domain representation: A cos(w t+) A. ejo On the left side is a sinusoidal signal, and on the right side is a Phasor. j is complex number notation, where j² = -1. To get a Phasor notation from a time domain signal, we take the amplitude and the phase angle information from the sinusoidal signal. To convert a Phasor back to a sinusoidal signal, you need to know the source frequency. Which is the correct Phasor representation for V₂ (t) = 10 cos(2 t + 60°)? 10. .e2 O 10. e60° 02.2 2. e360°
A series RLC circuit having values of R = 2500, L = 3mH, and C = 4uF is shunted across a sinusoidal voltage given by the expression v(t) = 200 sin(200nt - 16°) V. Look for the following: a. The equivalent impedance of the connection b. The phasor and instantaneous current flowing through the connection c. Draw the phasor diagram of the supply voltage and the total current. What is the phase difference of the two? d. What is the phasor and instantaneous voltage across the capacitor? e. If a 75uF capacitor is shunted across the load, what is now the value of the equivalent impedance in the connection?
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2. Express the following functions as a cosine: a. 10 sin(wt +30°) b. -40 sin(wt - 70°) c. 25 sin(wt 15°) d. 5 sin(wt +230°) - 3. For the two signals Va(t) and Va(t) below, draw the phasor diagram for both signals, then determine which one leads and by how much: Va(t) = 12 cos(4t-80°) Volts Vb (t) = 10 sin(4t + 20°) Volts complex numbers, express the results in polar form. 4. Evaluate the following a. 3 + 4j b. -11j c. -12 + 15j d. 5 - 4j 5. Find the phasors corresponding to each of the following signals: a. v(t) = 12 cos (4t- 200°) Volts b. i(t) = -50 sin(100t +30°) Amps c. i(t) = -45 cos(6t+ 40°) Amps d. v(t) = 8 sin (200t - 170°) Volts
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Given the following sinusoids find their sum, their difference, their product and their quotient: a) vi(t) = -12 sin (wt – 30') and v2(t) = 5 cos (wt – 30') b) i(t) = -6 sin (wt - 45') and v2(t) = 8 cos (wt + 60') c) i,(t) = 15 cos (@t + 25 ) and vz (t) = -8 sin (@t + 50°)