- #1
radicaled
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The problem
The exercise goes like this:
A sinusoidal source v(t) = 40 sin(100t) its applied to a circuit RLC with L=160 mH, C=99 μF and R=68Ω.
Calculate
a) the impedance of the circuit
b) the maximum current
My solution
a)
If v(t) = 40 sin(100t) --> ω=100Hz
Z= [itex]\sqrt{R^{2} + \left(Xl-Xc\right)^{2}}[/itex]
Z = 108,86 Ω
b)
I know that
[itex]ic(t)= C\frac{dv}{dt} -> v(t)= \frac{1}{C}\int idt[/itex]
[itex]v(t)=Ri(t)[/itex]
[itex]v(t)= L \frac{di}{dt}[/itex]
[itex]v(t)=Ri(t) + L \frac{di}{dt} + \frac{1}{C}\int idt[/itex]
Ok, I'm stuck here. I know v(t), R, L and C. But I'm not sure how to get it.
Thanks for you help
The exercise goes like this:
A sinusoidal source v(t) = 40 sin(100t) its applied to a circuit RLC with L=160 mH, C=99 μF and R=68Ω.
Calculate
a) the impedance of the circuit
b) the maximum current
My solution
a)
If v(t) = 40 sin(100t) --> ω=100Hz
Z= [itex]\sqrt{R^{2} + \left(Xl-Xc\right)^{2}}[/itex]
Z = 108,86 Ω
b)
I know that
[itex]ic(t)= C\frac{dv}{dt} -> v(t)= \frac{1}{C}\int idt[/itex]
[itex]v(t)=Ri(t)[/itex]
[itex]v(t)= L \frac{di}{dt}[/itex]
[itex]v(t)=Ri(t) + L \frac{di}{dt} + \frac{1}{C}\int idt[/itex]
Ok, I'm stuck here. I know v(t), R, L and C. But I'm not sure how to get it.
Thanks for you help