Problem 5. a) Write an expression for the sinusoid shown below of the form v(t) = Vm cos(wt + 0), giving the numerical values of Vm w & 8. b) Determine the phasor and the rms value of v(t) z(t) 13 2 0 -1 -2 -3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 -0.0625 s t(s)

Problem # 4 Consider the sinusoidal voltage and current: v(t) = 170 cos(120rt - 60°) V and i(t) = 60 sin(120at - 30°) A. %3D %3D a) b) Plot v(t) and i(t) and determine if the current is leading or lagging the voltage. Find the Phasor representations of both voltage and current. Determine the rms values of both voltage and current. c)

The single phase AC sinusoidal voltage then the rms value of the voltage v is .........

Two sinusoidal voltages of the same frequency have rms values of 8 V and 3 V. What is the smallest rms value that the sum of these voltages could have? The largest? Justify your answers.

1. What is the shortest time required for a 4.3-krad/s​ sinusoid to increase  from  two-fifths to  four-fifths  of ​its peak value ?   CHOICES:  A. 120 s​ B. 140 s​ C. 160 s​ D. 180 s​ E. NOTA​   ​

A complex voltage waveform which has an rms value of 240V contains 30% third harmonic and 10% fifth harmonic, both of the harmonics being initially in phase with each other. (a) Determine the rms value of the fundamental and each harmonic. (b)Write down an expression to represent the complex voltage waveform if the frequency of the fundamental is 31.83 Hz.

Instruction: Provide the correct answer. 1. What is the relationship between the supply voltage and circuit current in purely capacitive circuits? 2. Vm = 100cos(377t + 75°) transform into sine form is a complex number that represents the amplitude and phase of a sinusoid. 3. 4. What is the phase relationship between a supply voltage and current through a purely inductive circuit? . 5. The rms value of the signal is also called the

A 50 Hz, alternating voltage of 150 V (rms) is applied independently to: (d) resistance of 10 ohms, (e) inductance of 0.2 henry' and (f) capacitance of 50 microfarad. Find the expression of the instantaneous current in each case. Draw the phasor diagram in each case.

A 50 Hz, alternating voltage of 150 V (rms) is applied independently to: (a) resistance of 10 ohms, (b) inductance of 0.2 henry' and (c) capacitance of 50 microfarad. Find the expression of the instantaneous current in each case. Draw the phasor diagram in each case.

1. What effect does changing the frequency on the effective value of sinusoidal voltage? 2. What effect does changing the amplitude on the effective value of sinusoidal voltage?