Energy transfer and tuning: Can a parallel tuned (tank) circuit be used to couple energy from one circuit to another at or near its resonant frequency?

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Coupling stages in radios, filters, and oscillators often relies on tuned circuits to pass desired frequencies while rejecting others. A parallel resonant (tank) circuit presents a high impedance at its resonant frequency and can be arranged to transfer energy efficiently between circuits with appropriate coupling (inductive or capacitive).


Given Data / Assumptions:

  • Parallel L–C network with finite Q.
  • Loose to moderate coupling to source and load (transformer or capacitive coupling).
  • Operation near the tank's resonant frequency f0.


Concept / Approach:
At resonance, the tank's reactive currents circulate between L and C while the input/output see a transformed impedance that can pass energy selectively at f0. With inductive coupling (mutual inductance between coils) or capacitive tapping, the tank can be used as a frequency-selective interstage coupler, maximizing transfer at f0 and attenuating off-frequency signals. This is the basis of many RF front-ends and IF stages.


Step-by-Step Solution:

Tune L and C so XL = XC at f0. Arrange coupling (e.g., transformer secondary or capacitive tap) to feed the next stage. Exploit high impedance at f0 to favor power transfer at the selected frequency while rejecting others. Adjust coupling coefficient/Q to trade bandwidth vs selectivity.


Verification / Alternative check:
Classic AM radio IF transformers are parallel tanks with adjustable coupling; sweep responses show a peaked passband centered at f0 with controllable bandwidth.


Why Other Options Are Wrong:
Incorrect: ignores widespread use of parallel tanks in coupling networks.
Series-only / DC-only: coupling by tuned circuits is inherently AC and frequency-selective; DC is blocked or bypassed as designed.


Common Pitfalls:
Over-coupling (excessive bandwidth or double-hump response); under-coupling (weak transfer). Forgetting loading reduces effective Q and shifts tuning.


Final Answer:
Correct

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