Translate the current set in time form i (t) = 141 sin (ɷt + 90 °) into a complex form: exponential and algebraic.
Decision:
amplitude value of current Im = 141 A
+ 90 ° - the initial phase of the current.
We write the complex current in exponential form:
Complex current amplitude
current value complex
We translate into algebraic form using Euler's formula
Task 2
Algebraic voltage is specified.
Transfer to a temporary form.
Decision:
consider the stress vector on the complex plane
It turns out that the vector is in the third quarter of the complex plane. This means that the initial phase of the angle is from 180 ° to 270 °, i.e. add 180 ° to the resulting angle
The value of the voltage module is determined by the Pythagorean theorem
Answer: u (t) = 40 sin (ɷt + 225 °)
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Electrical Engineering, Circuit design
Terms: Electrical Engineering, Circuit design