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Question: Answered & Verified by Expert
Compute the LC product of a tuned circuit required to generate a carrier wave of \( 1 \mathrm{MHz} \) for amplitude modulation ?
PhysicsCommunication SystemJEE Main
Options:
  • A \( 2.54 \times 10^{-14} \mathrm{~s} \)
  • B \( 3.54 \times 10^{-14} \mathrm{~s} \)
  • C \( 2.34 \times 10^{-14} \mathrm{~S} \)
  • D \( 6.51 \times 10^{-2} \mathrm{~s} \)
Solution:
1734 Upvotes Verified Answer
The correct answer is: \( 2.54 \times 10^{-14} \mathrm{~s} \)
Given, the frequency of carrier wave is 1 MHz.
Formula for the frequency of tuned amplifier
1 2 π LC = 1 MHz
LC = 1 2 π × 1 0 6
LC = 1 ( 2 π × 1 0 6 ) 2 = 2 · 5 4 × 1 0 - 1 4 s
Thus, the product of LC is 2.54 × 10–14s.

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