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The true statement is, on increasing the...

The true statement is, on increasing the distance between the plates of a parallel plate condenser

A

The electric insensity between the plate will decrease

B

The electric intensity between the plate will increase

C

The elelctric intensity between the plate remain uncharged

D

The PD between the plate will decrease

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the effect of increasing the distance between the plates of a parallel plate capacitor, we will analyze the relationship between electric field intensity, potential difference, and distance. ### Step-by-Step Solution: 1. **Understanding Electric Field Intensity (E)**: The electric field intensity (E) between the plates of a parallel plate capacitor is given by the formula: \[ E = \frac{\sigma}{\epsilon_0} \] where \( \sigma \) is the surface charge density on the plates and \( \epsilon_0 \) is the permittivity of free space. 2. **Effect of Distance on Electric Field Intensity**: From the formula above, we can see that the electric field intensity (E) depends only on the surface charge density (\( \sigma \)) and the permittivity of free space (\( \epsilon_0 \)). It does not depend on the distance (D) between the plates. Therefore, if we increase the distance between the plates, the electric field intensity remains unchanged. 3. **Understanding Potential Difference (V)**: The potential difference (V) between the plates is given by: \[ V = E \cdot D \] Here, if we increase the distance (D) while keeping the electric field intensity (E) constant, the potential difference (V) will increase proportionally with the increase in distance. 4. **Conclusion**: Based on the analysis: - The electric field intensity (E) remains unchanged when the distance between the plates is increased. - The potential difference (V) increases as the distance (D) increases. Thus, the true statement is that the electric intensity between the plates remains unchanged. ### Final Answer: The correct option is: **Option 3: The electric intensity between the plates remains unchanged.** ---
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