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Two parallel metal plates having charges...

Two parallel metal plates having charges `+Q` and `-Q` face each other at a certain distance between them.If the plates are now dipped in kerosene oil tank ,the electric field between the plates will

A

becomes zero

B

increase

C

decrease

D

remain same

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze how the electric field between two parallel plates changes when they are immersed in a dielectric medium, such as kerosene oil. ### Step-by-Step Solution: 1. **Understanding the Electric Field Between Plates**: The electric field (E) between two parallel plates with charges +Q and -Q in a vacuum is given by the formula: \[ E = \frac{\sigma}{\epsilon_0} \] where \(\sigma\) is the surface charge density and \(\epsilon_0\) is the permittivity of free space. 2. **Effect of Immersing in a Dielectric**: When the plates are immersed in a dielectric medium (like kerosene oil), the electric field is modified by the dielectric constant (k) of the medium. The new electric field (E') in the dielectric can be expressed as: \[ E' = \frac{E}{k} \] where \(k\) is the dielectric constant of the medium. 3. **Conclusion on the Electric Field**: Since \(k > 1\) for any dielectric medium, it follows that: \[ E' < E \] This means that the electric field between the plates decreases when they are dipped in kerosene oil. ### Final Answer: The electric field between the plates will **decrease** when they are dipped in kerosene oil. ---

To solve the problem, we need to analyze how the electric field between two parallel plates changes when they are immersed in a dielectric medium, such as kerosene oil. ### Step-by-Step Solution: 1. **Understanding the Electric Field Between Plates**: The electric field (E) between two parallel plates with charges +Q and -Q in a vacuum is given by the formula: \[ E = \frac{\sigma}{\epsilon_0} ...
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Knowledge Check

  • Assertion (A): Two parallel metal plates having charge +Q and -Q are facing at a distance between them. The plates are now immersed in kerosene oil and the electric potential between the plates decreases. Reason (R ): Dielectric constant of kerosene oil is less than 1.

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is NOT the correct explanation of A
    C
    A is true but R is false
    D
    A is false and R is True
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