What is the Initial Phase Angle and First Maximum Current in an AC Circuit?

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Homework Help Overview

The discussion revolves around determining the initial phase angle and the first maximum current in an AC circuit, represented by the equation i = 15 sin(100π.t + 0.6). The problem involves both identifying the phase angle in radians and degrees, as well as calculating the time at which the current reaches its first maximum value.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the initial phase angle and the time for the first maximum current using the given equation. Some participants question the algebraic steps taken in the calculations, particularly in the second part of the problem.

Discussion Status

Participants are actively engaging with the original poster's calculations, noting potential algebraic mistakes and seeking clarification on where errors may have occurred. There is a focus on ensuring the mathematical reasoning is sound, with some guidance provided regarding the forum categorization.

Contextual Notes

There is an indication that the problem may have been miscategorized in the forum, suggesting a potential misunderstanding of the subject area. Participants are also addressing the algebraic steps without providing a complete resolution to the original poster's queries.

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Homework Statement


i = 15 sin(100π.t + 0.6)
a) I need to state the initial phase angel in rads and degrees.
b) I also need to work out current at first maximum value.

Homework Equations


i=A*sin(ωτ+∅)

The Attempt at a Solution



a) ∅=100∏*0+0.6
∅= 0.6 rads. ∴0.6*180/∏=34.37746771°

b) first current max =∏/2 rad's
100∏τ+0.6=∏/2
100τ+0.6=1/2
200τ+1.2=1
t=1/(200+1.2)
t=4.970178926*10^-3
 
Last edited:
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You've made an algebraic mistake in your part b), but yes, you are on the right track. By the way, a thread like this belongs in the "Introductory Physics" forum, not the Calculus forum.
 
Steely Dan said:
You've made an algebraic mistake in your part b), but yes, you are on the right track. By the way, a thread like this belongs in the "Introductory Physics" forum, not the Calculus forum.

where abouts did i go wrong?
 
steveandy2002 said:
100∏τ+0.6=∏/2
100τ+0.6=1/2

:redface:
 

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