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Force acting upon charged particle kept ...

Force acting upon charged particle kept between the plates of a charged condenser is `F`. If one of the plates of the condenser is removed, force acting on the same particle will become.

A

0

B

`F/2`

C

F

D

2F

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The correct Answer is:
To solve the problem, we need to understand the concept of electric fields and forces acting on charged particles in a capacitor. ### Step-by-step Solution: 1. **Understanding the Initial Setup**: - We have a parallel plate capacitor with two plates: one positively charged and one negatively charged. - The electric field (E) between the plates is uniform and directed from the positive plate to the negative plate. 2. **Calculating the Electric Field**: - The electric field (E) between two plates of a capacitor is given by: \[ E = \frac{V}{d} \] where \( V \) is the voltage across the plates and \( d \) is the separation between them. - In the case of a parallel plate capacitor, the net electric field between the plates is: \[ E_{\text{net}} = E + E = 2E \] 3. **Force on the Charged Particle**: - If a charge \( q \) is placed between the plates, the force \( F \) acting on the charge due to the electric field is given by: \[ F = q \cdot E_{\text{net}} = q \cdot 2E \] - Thus, the initial force \( F \) is: \[ F = 2qE \] 4. **Removing One Plate**: - When one of the plates is removed, only the electric field from the remaining plate is present. - The electric field due to a single charged plate is given by: \[ E = \frac{\sigma}{2\epsilon_0} \] where \( \sigma \) is the surface charge density and \( \epsilon_0 \) is the permittivity of free space. - Therefore, the electric field \( E' \) acting on the charge \( q \) now becomes: \[ E' = E \] 5. **Calculating the New Force**: - The new force \( F' \) acting on the charge \( q \) when one plate is removed is: \[ F' = q \cdot E' = q \cdot E \] 6. **Finding the Relationship Between Forces**: - Now, we can relate the new force \( F' \) to the original force \( F \): \[ F' = \frac{F}{2} \] - This shows that the new force is half of the original force. ### Conclusion: The force acting on the charged particle after one plate of the capacitor is removed becomes: \[ F' = \frac{F}{2} \]

To solve the problem, we need to understand the concept of electric fields and forces acting on charged particles in a capacitor. ### Step-by-step Solution: 1. **Understanding the Initial Setup**: - We have a parallel plate capacitor with two plates: one positively charged and one negatively charged. - The electric field (E) between the plates is uniform and directed from the positive plate to the negative plate. ...
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