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Homework Statement
Calculate the power absorbed by each element at t = 0^{}, t = 0^{+}, and t = 200ms.
Homework Equations
P[itex]_{L}(t)[/itex] = [itex]\frac{V_{0}^{2}}{R}e^{Rt/L}(1e^{Rt/L})[/itex]
P[itex]_{R}(t)[/itex] = [itex]\frac{V_{0}^{2}}{R}(1e^{Rt/L})[/itex]
P[itex]_{V}(t)[/itex] = (P[itex]_{L}(t)[/itex] + P[itex]_{R}(t)[/itex])
The Attempt at a Solution
10u(t)V = 10V for t <= 0; 0V for t > 0
t = 0^{}: V = 10V, i = 10A
P_{R}(0^{}) = (10)^{2}(1) = 100W
P_{L}(0^{}) = 0W
P_{V}(0^{}) = 100W
t = 0^{+}: V = 10V, i = 10A
P_{R}(0^{+}) = (10)^{2}(1) = 100W
P_{L}(0^{+}) = 0W
P_{V}(0^{+}) = 100W
t = 200ms:
P[itex]_{L}(0.2)[/itex] = [itex]\frac{(10)^{2}}{R}e^{4(0.2)}(1e^{4(0.2)})[/itex] = 25W
P[itex]_{R}(0.2)[/itex] = [itex]\frac{(10)^{2}}{R}(1e^{4(0.2)})[/itex] = 30W
P[itex]_{V}(0.2)[/itex] = (25 + 30) = 55W
I'm not completely sure I did this problem correctly (particularly worried about the powers for 0^{} and 0^{+}). If I did not, I would greatly appreciate any feedback (mistakes you see, hints, etc.). I don't want to go further in my homework until I understand this basic problem first.
Thanks!
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