Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Capacitors
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Capacitors
For the arrangement of plates depicted in the figure, the...
For the arrangement of plates depicted in the figure, the capacitance between adjacent plates is . When a charge of is placed on the upper plate, what will be the potential difference between the upper plate and the middle plate?


Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
Let the three parallel plates be denoted as 1 (upper), 2 (middle), and 3 (lower).
The total charges on the isolated plates are given as:
For a system of parallel conducting plates, the charge appearing on the outermost surfaces is equal and is given by half the sum of the total charges on all plates:
The charge on the upper surface of plate 1 is .
The charge on the lower surface of plate 1 is .
The charge on the upper surface of plate 2 (facing plate 1) will be equal and opposite to :
The upper and middle plates form a capacitor with charge on its inner surfaces.
Given the capacitance between adjacent plates is .
The potential difference between the upper and middle plates is:
The total charges on the isolated plates are given as:
For a system of parallel conducting plates, the charge appearing on the outermost surfaces is equal and is given by half the sum of the total charges on all plates:
The charge on the upper surface of plate 1 is .
The charge on the lower surface of plate 1 is .
The charge on the upper surface of plate 2 (facing plate 1) will be equal and opposite to :
The upper and middle plates form a capacitor with charge on its inner surfaces.
Given the capacitance between adjacent plates is .
The potential difference between the upper and middle plates is: