If the variable capacitor in an FM receiver ranges from 14.9 pF to 22.4 pF , what inductor should be used to make an LC circuit whose resonant frequency spans the FM band

Complete Question

The FM radio band covers the frequency range 88-108 MHz

If the variable capacitor in an FM receiver ranges from 14.9 pF to 22.4 pF , what inductor should be used to make an LC circuit whose resonant frequency spans the FM band

The  inductor that should be made use of is and inductor with an inductance of

Explanation:

From the question we are told that

   The  frequency range  for the FM band is  88-108 MHz

   The range of the capacitance is  

  The resonant frequency is   this is in the question we are told that the resonant frequency spans the FM band

 Generally the at resonance the reactance of the capacitor is equal to that of the inductor i.e

Here    is the reactance of the capacitor which is mathematically represented as

while the reactance of the inductor is  

So

=>  

When  C is  

=>  

=>  

When  C is  

=>  

=>  

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.