5. Given i₁(t) i₁(t) + i₂(t). = 5cos(120πt – π/3) A and i₂(t): = 4sin(120πt — π/4) A, find the sum i(t) = (a) Plot i₁(t) and i2(t) over one period and determine the sum graphically by sampling several datapoints of i₁(t) and i₂(t) and adding them to fill in enough points to determine the sum. Write down the sum in the form Imazcos(120πt + 01). (b) Find the phasor representation of the sum i(t) algebraically.

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Publisher:Robert L. Boylestad
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5. Given i₁(t)
i₁(t) + i₂(t).
=
5cos(120πt π/3) A and i₂(t) = 4sin (120πt π/4) A, find the sum i(t)
=
(a) Plot i₁(t) and i2(t) over one period and determine the sum graphically by sampling
several datapoints of i₁ (t) and i₂(t) and adding them to fill in enough points to determine
the sum. Write down the sum in the form Imarcos(120πt + 01).
(b) Find the phasor representation of the sum i(t) algebraically.
Transcribed Image Text:5. Given i₁(t) i₁(t) + i₂(t). = 5cos(120πt π/3) A and i₂(t) = 4sin (120πt π/4) A, find the sum i(t) = (a) Plot i₁(t) and i2(t) over one period and determine the sum graphically by sampling several datapoints of i₁ (t) and i₂(t) and adding them to fill in enough points to determine the sum. Write down the sum in the form Imarcos(120πt + 01). (b) Find the phasor representation of the sum i(t) algebraically.
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