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pious&peevish
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Not sure if this is in the right category because circuits are more of an electrical engineering-related area, but this is part of an assignment for a standard second semester calculus-based physics course (i.e. E&M), so I'll leave it here for now. Feel free to move it to another category if it does not belong here.
A voltage Δv = (110 V) sin ωt (in SI units) is applied across a series combination of a 2.07 H inductor, a 13.8 μF capacitor, and a 11.0 Ω resistor.
a) Determine the angular frequency, ω0 at which the power delivered to the resistor is a maximum.
b) Calculate the power at that frequency.
c) Determine the two angular frequencies ω1 and ω2 at which the power delivered is one-half the maximum value. [The Q of the circuit is approximately ω0/(ω2 - ω1).] Enter the smaller one first.
P=IV=V^2/R
Z = √((R)^2+(Xl-Xc)^2)
I(rms) = V(rms)/Z
I already found the answer to a) - it was 187 rad/s. I used the impedance equation Z = √((R)^2+(Xl-Xc)^2) to find it.
I know b) is referring to the resonant frequency, but I'm not sure how to proceed. For c), I don't know what "the Q of the circuit" refers to.
Thanks in advance for any pointers!
Homework Statement
A voltage Δv = (110 V) sin ωt (in SI units) is applied across a series combination of a 2.07 H inductor, a 13.8 μF capacitor, and a 11.0 Ω resistor.
a) Determine the angular frequency, ω0 at which the power delivered to the resistor is a maximum.
b) Calculate the power at that frequency.
c) Determine the two angular frequencies ω1 and ω2 at which the power delivered is one-half the maximum value. [The Q of the circuit is approximately ω0/(ω2 - ω1).] Enter the smaller one first.
Homework Equations
P=IV=V^2/R
Z = √((R)^2+(Xl-Xc)^2)
I(rms) = V(rms)/Z
The Attempt at a Solution
I already found the answer to a) - it was 187 rad/s. I used the impedance equation Z = √((R)^2+(Xl-Xc)^2) to find it.
I know b) is referring to the resonant frequency, but I'm not sure how to proceed. For c), I don't know what "the Q of the circuit" refers to.
Thanks in advance for any pointers!