
A parallel plate condenser of capacity is connected to of AC supply of frequency. The rms value of displacement current.
(A)
(B)
(C)
(D)
Answer
149.4k+ views
1 likes
Hint The rms value of the current is determined by using the rms formula of the current and the rms value of the current is equal to the rms of the voltage divided by the inductive capacitance of the capacitor. Then the inductive capacitance is written as the product of the frequency and the capacitance.
Useful formula
The rms value of the current is given as,
Where, is the rms value of the current, is the rms value of the voltage and is the inductive capacitance.
Complete step by step answer
Given that,
The capacitance of the parallel plate is given as, ,
The rms value of the voltage is given as, ,
The angular frequency is given as, .
Now,
The rms value of the current is given as,
Now, the inductive capacitance is written as . By substituting this equation in the above equation, then the above equation is written as,
By rearranging the terms in the above equation, then the above equation is written as,
By substituting the rms value of the voltage, angular frequency and the capacitance of the parallel plate in the above equation, then the above equation is written as,
By multiplying the terms in the above equation, then the above equation is written as,
Then the above equation is also be written as,
Thus, the above equation shows the rms value of displacement current.
Hence, the option (A) is the correct answer.
Note The rms value of displacement current is directly proportional to the rms value of the voltage and inversely proportional to the inductive capacitance. As the rms value of the voltage increases, then the rms value of displacement current also increases.
Useful formula
The rms value of the current is given as,
Where,
Complete step by step answer
Given that,
The capacitance of the parallel plate is given as,
The rms value of the voltage is given as,
The angular frequency is given as,
Now,
The rms value of the current is given as,
Now, the inductive capacitance is written as
By rearranging the terms in the above equation, then the above equation is written as,
By substituting the rms value of the voltage, angular frequency and the capacitance of the parallel plate in the above equation, then the above equation is written as,
By multiplying the terms in the above equation, then the above equation is written as,
Then the above equation is also be written as,
Thus, the above equation shows the rms value of displacement current.
Hence, the option (A) is the correct answer.
Note The rms value of displacement current is directly proportional to the rms value of the voltage and inversely proportional to the inductive capacitance. As the rms value of the voltage increases, then the rms value of displacement current also increases.
Latest Vedantu courses for you
Grade 9 | CBSE | SCHOOL | English
Vedantu 9 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Chemical Properties of Hydrogen - Important Concepts for JEE Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Degree of Dissociation and Its Formula With Solved Example for JEE

Electrical Field of Charged Spherical Shell - JEE

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

Motion in a Straight Line Class 11 Notes: CBSE Physics Chapter 2

Units and Measurements Class 11 Notes: CBSE Physics Chapter 1

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

NCERT Solutions for Class 11 Physics Chapter 1 Units and Measurements

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry
