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A transistor-oscillator using a resonant circuit with an induc

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A transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produce oscillation of frequency $f$ . If $L$ is doubled and $C$ is changed to $4 C$ , the frequency will be

f /2 2

f /2

f /4

8 f

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Updated on: Apr 23, 2023

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Theodore Discussed

A transistor-oscillator using a resonant circuit with an inductor

L

(of negligible resistance) and a capacitor

C

in series produce oscillation of frequency

f

. If

L

is doubled and

C

is changed to

4 C

, the frequency will be

15 mins ago

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15 mins ago

Text solutionVerified

Frequency of

L C

oscillation

= \frac{1}{2 π L C}

\Rightarrow \frac{f _{1}}{f _{2}} = \frac{1}{L _{1} C _{1}} L_{2} C_{2} = (\frac{L _{2} C _{2}}{L _{1} C _{1}})^{1/2}

= (\frac{2 L \times 4 C}{L \times C})^{1/2} = (8)^{1/2}

∴ \frac{f _{1}}{f _{2}} = 22 \Rightarrow f_{2} = \frac{f _{1}}{2 2} or, f_{2} = \frac{f}{2 2} [∵ f_{1} = f]

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Question Text	A transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produce oscillation of frequency $f$ . If $L$ is doubled and $C$ is changed to $4 C$ , the frequency will be
Updated On	Apr 23, 2023
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 13
Upvotes	1494
Avg. Video Duration	6 min

A transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produce oscillation of frequency $f$ . If $L$ is doubled and $C$ is changed to $4 C$ , the frequency will be

Text solutionVerified

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A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillation of frequency f. If L is doubled and C is changed to 4C, the frequency will be

Text solutionVerified

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A transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produce oscillation of frequency $f$ . If $L$ is doubled and $C$ is changed to $4 C$ , the frequency will be