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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

became zero

B

increase

C

decrease

D

remain same

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the effect of dipping two parallel charged plates into kerosene oil on the electric field between them. ### Step-by-Step Solution: 1. **Understanding the Initial Setup**: - We have two parallel metal plates with charges +Q and -Q. - The electric field (E) between two parallel plates 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 a Dielectric**: - When the plates are dipped into a dielectric medium (in this case, kerosene oil), the electric field is modified. The new electric field \(E'\) in the presence of a dielectric is given by: \[ E' = \frac{\sigma}{k \epsilon_0} \] where \(k\) is the dielectric constant of the medium. 3. **Understanding the Dielectric Constant**: - The dielectric constant \(k\) for kerosene oil is greater than 1 (typically around 2.2 to 2.5). This means that the electric field will be reduced when the dielectric is introduced. 4. **Comparing the Electric Fields**: - Since \(k > 1\), it follows that: \[ E' < E \] This indicates that the electric field between the plates decreases when they are submerged in kerosene oil. 5. **Conclusion**: - Therefore, the electric field between the plates decreases when they are dipped into kerosene oil. ### Final Answer: The electric field between the plates will **decrease** when they are dipped in kerosene oil.
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