# Solved Problems-11

Problems-11
A coil resonates at 2 MHz when a 18 pF capacitor is shunted across it. When shunting capacitor is 81 pF, the resonating frequency becomes 1 MHz. Find the distributed capacitor of the coil and the self resonating frequency.

Solution
Let the distributed capacitance of the coil be Cd (in pF).

Show when the coil is shunted with another capacitance of C, the total capacitance becomes,
(C + Cd).

When C = 18 pF, the resonating frequency is f0 = 2 MHz
(i)

When C = 81 pF, the resonating frequency is f0 = 1 MHz

(ii)

Dividing (i) by (ii), we get,

Putting the value of Cd in (ii), we get,

So, the self-resonating frequency of the coil is given as,
The text passage contains a physics problem involving the calculation of the distributed capacitance of a coil and its self-resonating frequency, along with a detailed solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Solved Problems-11

Problems-11
A coil resonates at 2 MHz when a 18 pF capacitor is shunted across it. When shunting capacitor is 81 pF, the resonating frequency becomes 1 MHz. Find the distributed capacitor of the coil and the self resonating frequency.

Solution
Let the distributed capacitance of the coil be Cd (in pF).

Show when the coil is shunted with another capacitance of C, the total capacitance becomes,
(C + Cd).

When C = 18 pF, the resonating frequency is f0 = 2 MHz
(i)

When C = 81 pF, the resonating frequency is f0 = 1 MHz

(ii)

Dividing (i) by (ii), we get,

Putting the value of Cd in (ii), we get,

So, the self-resonating frequency of the coil is given as,
user
The text passage contains a physics problem involving the calculation of the distributed capacitance of a coil and its self-resonating frequency, along with a detailed solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER