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Question

Question: The LC product of a tuned amplifier circuit require to generate a carrier wave of 1 MHz for amplitud...

The LC product of a tuned amplifier circuit require to generate a carrier wave of 1 MHz for amplitude modulation is

A

1.5 × 10-14 s

B

1.2 × 10-12 s

C

3.2 × 10-12 s

D

2.5 × 10-14 s

Answer

2.5 × 10-14 s

Explanation

Solution

: Frequency of tuned amplifier is

υ=12πLC\upsilon = \frac{1}{2\pi\sqrt{LC}}

As per questionυ=1MHz=106Hz\upsilon = 1MHz = 10^{6}Hz

Or 106=12πLC10^{6} = \frac{1}{2\pi\sqrt{LC}}

Or LC=14π2(106)2=2.5×1014LC = \frac{1}{4\pi^{2}(10^{6})^{2}} = 2.5 \times 10^{- 14}s