Question
Download Solution PDFA parallel plate capacitor has a capacitance of ‘C’. If the distance between the plates is reduced by half and the space between the plates is filled with a medium having dielectric constant 6, the new capacitance is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Parallel Plate Capacitors are formed by an arrangement of electrodes and insulating material or dielectric. A parallel plate capacitor can only store a finite amount of energy before dielectric breakdown occurs.
The parallel plate capacitor formula is given by:
\(C=\frac{k\epsilon_o A}{d}\), where
- ϵo is the permittivity of space (\(8.854\times10^{-12}\) F/m)
- k is the relative permittivity of dielectric material
- d is the separation between the plates
- A is the area of plates
Explanation:
The capacitance of parallel plate capacitor is
\(C=\frac{\epsilon_o A}{d}\)
If the distance between the plates is reduced by half and the space between the plates is filled with a medium having dielectric constant 6, the new capacitance is
\(C'=\frac{k\epsilon_o A}{d}\)
\(C'=\)\(\frac{6\epsilon_o A}{d/2}\)
\(C'=\)\(\frac{12\epsilon_o A}{d}\)
\(C'=12C\)
Hence, the correct answer is Option-2-12C.
Last updated on May 26, 2025
-> AAI ATC exam date 2025 will be notified soon.
-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025.
-> AAI JE ATC 2025 notification is released on 4th April 2025, along with the details of application dates, eligibility, and selection process.
-> Total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.
-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in Airports Authority of India (AAI).
-> The Selection of the candidates is based on the Computer Based Test, Voice Test and Test for consumption of Psychoactive Substances.
-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).
-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.
-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.