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
A dielectric slab is introduced between the plates of a capacitor....
A dielectric slab is introduced between the plates of a capacitor. The charge on the capacitor is , and the magnitude of the induced charge on each surface of the dielectric is .
Options
- A must be less than
- B must be equal to
- C may be greater than
- D must be greater than
Correct answer
A. must be less than
Step-by-step solution
The induced charge on the surface of a dielectric slab placed between the plates of a capacitor having charge is given by the relation:
Q' = Q \left(1 -\dfrac{1}{K}\right)
where is the dielectric constant of the material of the slab.
For any dielectric material, the dielectric constant .
Therefore, .
This implies that .
Thus, the magnitude of the induced charge must be less than the charge on the capacitor plates.
Q' = Q \left(1 -\dfrac{1}{K}\right)
where is the dielectric constant of the material of the slab.
For any dielectric material, the dielectric constant .
Therefore, .
This implies that .
Thus, the magnitude of the induced charge must be less than the charge on the capacitor plates.