Question
Download Solution PDFFor a given range of frequencies, the required capacitance Tuning Ratio (TR) can be calculated as:
This question was previously asked in
KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper
Answer (Detailed Solution Below)
Option 3 : \(\rm TR=\frac{f^2_r(max)}{f^2_r(min)} \)
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KVS TGT Mathematics Mini Mock Test
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Detailed Solution
Download Solution PDFThe correct answer is option 1): \(\rm TR=\frac{f^2_r(max)}{f^2_r(min)} \)
Concept:
- The capacitance tuning ratio is calculated for a tank circuit with a single inductor and multiple capacitors
- This arrangement is used for achieving a wide range of resonant frequency
- Fig A shows a simple tank circuit for fmax whereas fig B shows the tank circuit with two capacitances for fmin
- Cvar is the variable part of the tuning-condenser capacitance (maximum minus minimum)
- The ratio of capacitance values needed to cover a specific range of resonant frequencies is equal (ideally) to the square root of the frequency ratio
TR = Tunning ratio
TR = \(C_{Max} \over C_{min}\)
=( \(f_{max} \over f _{min}\))2
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