What is the phase relationship between the following set if v(t) = 8sin(ωt+50°) and i(t) = 6sin(ωt-20°)?
Question
What is the phase relationship between the following set if
v(t) = 8\sin(\omega t+50^\circ)
and
i(t) = 6\sin(\omega t-20^\circ)?
Solution
The phase relationship between two sinusoidal functions, such as v(t) = 8sin(ωt+50°) and i(t) = 6sin(ωt-20°), can be determined by comparing their phase angles.
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Identify the phase angles: For v(t), the phase angle is +50°. For i(t), the phase angle is -20°.
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Subtract the phase angles: The phase difference is 50° - (-20°) = 70°.
Therefore, the phase relationship between v(t) and i(t) is 70°. This means that v(t) leads i(t) by 70°.
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