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Homework Statement
Determine the voltage V0 in the following network if the impedance Z contains:a. a 0.5 mH inductor
b.a 10 μF inductor
Homework Equations
Voltage division for 2 series resistors: (v in)(resistor/total series resistance)
ZL = ωLj
Zc = -1j/ωC
Z = ZL + ZC + R
Zmagnitude = (R2 + X2)1/2
θ = arctan(J/R)
form Z = R + jx
The Attempt at a Solution
ω = 377 ?
Part a:
ZL = 377 * (0.5 x 10-3) = 0.1885Ωj
Z total = 100Ω + 0.1885ΩjNot sure what to do from here but I guess now try polar conversion, and doing that, Z basically rounds off to
Z total = (100 ∠ 89.9 deg)
Z(just the resistor in polar form) = (100 ∠ 90 deg) because the magnitude is 100 and arctan(100/0.000000001) = 90 degrees
and I think
V = 100 ∠ 0 deg, from the given source voltage.
So I think V0t = (100 ∠ 90 deg)*((00 ∠ 90 deg)/(100 ∠ 90 deg))
= (100 ∠ 90 deg)
(would be negative though, because the arrow is the opposite direction).
but not sure. I know part B would basically be the same thing though.
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