Question

Three sinusoidal voltages acting in series are given by $V_1 = 10 sin 440t$; $V_2 = 10 sqrt{2} sin (440t - 45^{circ})$ and $V_3 = 20 cos 440t$ Find 1- an expression for the resultant voltage 2- the frequency and rms value of the resultant voltage.

          Three sinusoidal voltages acting in series are given by
$V_1 = 10 sin 440t$; $V_2 = 10 sqrt{2} sin (440t - 45^{circ})$ and $V_3 = 20 cos 440t$ Find
1- an expression for the resultant voltage
2- the frequency and rms value of the resultant voltage.

Three sinusoidal voltages acting in series are given by
V1 = 10 sin 440t; V2 = 10 sqrt2 sin (440t - 45^circ) and V3 = 20 cos 440t Find
1- an expression for the resultant voltage
2- the frequency and rms value of the resultant voltage.

Added by Jeffrey M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/17/2023

Step 1

To simplify the addition of the sinusoidal voltages, it's helpful to express all of them in terms of sine or cosine. The given voltages are: - $V_1 = 10 \sin(440t)$ - $V_2 = 102 \sin(440t - 45^\circ)$ - $V_3 = 20 \cos(440t)$ Since \(\cos(\theta) = Show more…

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Three sinusoidal voltages acting in series are given by: V1 = 10 sin 440t; V2 = 10√2 sin(440t - 45°); V3 = 20 cos 440t. Find: 1. An expression for the resultant voltage. 2. The frequency and rms value of the resultant voltage.