Good evening
An RLC circuit has a resistance of 200 Ω and an inductance of 15 mH. Its oscillation frequency
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
Original post by MedhatSelim
An RLC circuit has a resistance of 200 Ω and an inductance of 15 mH. Its oscillation frequency
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
Is that the question? determine the five complete cycles? did not understand whats your point is here.
I saw the omega symbol and now I want to play God of War
Original post by MedhatSelim
An RLC circuit has a resistance of 200 Ω and an inductance of 15 mH. Its oscillation frequency
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
is 7000 Hz. At time t = 0 the current is 25 mA and there is no charge on the capacitor. After
five complete cycles the current is:
What will the current be after (from t=0) 0, 1, 2, 3, 4 and 5 complete cycles?
Looks like that the five complete cycles is really the question. These quantities are given:
R = 200 Ω
L = 15 mH = 0.015 H
f = 7000 Hz
Io = 25 mA = 0.025 A (maximum current)
Q = 0 As
The RLC circuit is an overdamped case, so a strictly monotonial decreasing exponential function for the current of t:
I(t) = Io * e^(-kt)*(cos(w*t) - (k/w)*sin(w*t))
All what you have to calculate is the omega w and the damping coefficient k. Your calculation steps are:
w = 2*pi*f
k = R/2*L
Now you can get the current out for five cycles, so t = 5
R = 200 Ω
L = 15 mH = 0.015 H
f = 7000 Hz
Io = 25 mA = 0.025 A (maximum current)
Q = 0 As
The RLC circuit is an overdamped case, so a strictly monotonial decreasing exponential function for the current of t:
I(t) = Io * e^(-kt)*(cos(w*t) - (k/w)*sin(w*t))
All what you have to calculate is the omega w and the damping coefficient k. Your calculation steps are:
w = 2*pi*f
k = R/2*L
Now you can get the current out for five cycles, so t = 5
Thank you alot
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