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John54321
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Homework Statement
I have the last 3 parts of this question to answer and I'm struggling with it and would appreciate any advice please or if what i have done is correct thanks.
Homework Equations
The Attempt at a Solution
Q1. The time to reach the greatest voltage rate of change
A. dv/dt =(2 x 10^4pi) cos (200pi t + pi/4)
maximum occurs when dv/dt = 0 and d^2v/dt^2 is negative
d^2v/dt^2 = -(4 x 10^6 pi^2) sin (200pi t + pi/4)
cos (200pi t + pi/4) = 0 when t = 0 and when t = 0 d^2v/dt^2 is negative
When t = 0 v = 100 as sin(200pi t +pi/t = 1
Q2. The value of the greatest voltage rate of change
dv/dt is maximum when cos (200pi t +pi/4) is either 1 or -1
which occurs when 200pi t + pi/4 = 0 or pi radians
t is either = 1/800 or 1/800 seconds i.e. t = -0.00125 or 0.00125 seconds
Q3. Using integral calculus, calculate the RMS value sketch a graph to visualise the process ?