Q. 103.8( 18 Votes )

# A radio can tune

Answer :

Given: frequency range of radio waves = 800 kHz to 1200 kHz

Therefore, low tuning frequency of radio wave v1 = 800 kHz, or 800 × 10-3 Hz

Upper tuning frequency v2 = 1200 kHz or 1200 × 10-3 Hz

Inductance L = 200 μH or 200 × 10-6H

Capacitance of the variable capacitor for low tuning frequency v1 is given by the following relation:

C1 = 1/ ω12L……………..(i)

Where ω is equal to 2πv1

Substituting in equation (i), we get

C1 = 1/{(2π × 800 × 10-3Hz)2 × 200 × 10-6H}

On calculating we get

C1 = 1.9809 × 10-10F

Or C1 = 198.1 pF

Capacitance of the variable capacitor for upper tuning frequency v2 is given by the following relation:

C2 = 1/ ω22L……………..(ii)

Where ω is equal to 2πv2

Substituting in equation (i), we get

C2 = 1/{(2π × 1200 × 10-3Hz)2 × 200 × 10-6H}

On calculating we get

C2 = 88.04 pF

Therefore, the range of its variable capacitor is from 88.04 pF to 198.1 pF.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

The teachers of GPhysics - Board Papers

A. Draw a labeledPhysics - Board Papers

(a) In a series LPhysics - Board Papers

If a LC circuit iPhysics - Exemplar

If a LC circuit iPhysics - Exemplar

Electrical energyPhysics - Exemplar

Answer the followNCERT - Physics Part-I