Answer:
1125.4 Hz
Step-by-step explanation:
The resonant frequency is the frequency at with the inductive reactance is equal to the capacitive reactance. It is given by the relation ...
where L is in henries, and C is in farads.
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For the given circuit values, the resonant frequency is ...
The resonant frequency of this circuit is about 1125.4 hertz.
Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.
We know, circumference in circle is given by :
( Here, r is radius i.e distance of centre from track )
Putting values in above equation :
2 × 3.14 × r = 2640
6.28 × r = 2640
r = 420.38 feet
Therefore, distance between centre and track is 420.38 feet .
Hence, this is the required solution.