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Assertion : With the help of Gauss's the...

Assertion : With the help of Gauss's theorm we can find electric field at any point.
Reason : Gauss's theorem can be applied for any type of charge distribution.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

C

If Assertion is true but Reason is false

D

If Assertion is false but Reason is true

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements regarding Gauss's theorem, we will break down the assertion and the reason step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion:** - The assertion states: "With the help of Gauss's theorem, we can find the electric field at any point." - Gauss's theorem relates the electric flux through a closed surface to the charge enclosed by that surface. It is expressed mathematically as: \[ \Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0} \] - This theorem can indeed be used to find the electric field at various points, especially in cases with high symmetry (spherical, cylindrical, or planar symmetry). 2. **Analyzing the Reason:** - The reason states: "Gauss's theorem can be applied for any type of charge distribution." - While Gauss's theorem can be applied to any charge distribution theoretically, in practice, it is most useful for charge distributions that exhibit symmetry (like spherical, cylindrical, or planar symmetry). - For arbitrary charge distributions, applying Gauss's theorem can become mathematically complex and may not yield a straightforward solution. 3. **Conclusion:** - The assertion is true because Gauss's theorem allows us to find the electric field at points where symmetry is present. - The reason is false because Gauss's theorem is not practically applicable to all types of charge distributions due to the complexity of calculations involved. ### Final Evaluation: - The assertion is true, but the reason is false. Therefore, the correct conclusion is that the assertion is true, while the reason is not a valid explanation for the assertion.
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