Examples of angular motion
2 answers:
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A)
The magnitude of the capacitive reactance is given by
where
is the angular frequency
C is the capacitance
While the magnitude of the inductive capacitance is given by
where L is the inductance.
Since we want the two reactances to be equal, we have
So we find
B) 7449 rad/s
In this case, we have
is the inductance
is the capacitance
Therefore, substituting in the formula for the angular frequency, we find
C)
Now we can us the formulas of the reactances written in part A). We have:
- Capacitive reactance:
- Inductive reactance: