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Both the capacitors shown in figure are ...

Both the capacitors shown in figure are made of square plates of edge a. The separatiopn between the plates of the capacitors are `d_1 and d_2` as shown in the figure. A potential difference V is applied between the points a and b. An electron is projected between the plates of the upper capacitor along the central line. With what minimum speed should the electron be projected so that it does not collide with any plate ? Consider only the electric forces.

A

`[("Vea"^2)/(md_(2)(d_1-d_2))]^(1//2)`

B

`[("Vea"^2)/(md_(1)(d_1+d_2))]^(1//2)`

C

`[("Vea"^2)/(md_(2)(d_1-d_2))]^(2)`

D

`[("Vea"^2)/(md_(1)(d_1+d_2))]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Both the capacitors shown in figure are made of square plates of edge a . The separations between the plates of the capacitors and d_(1) and d_(2) as shown in the figure. A battery of V volt and a resistance R are connected as shown in figure. At steady state an electron is projected between the plates of the lower capacitor from its lower plate along the plate as shown. Minimum speed should the electron be projected is given by (1)/(sqrt(n))((Vea^(2))/(md^(2)))^(1//2) so that it does not collide with any plate? Consider only the electric forces then find the value of n.

Force of attraction between the plates of a parallel plate capacitor is

Knowledge Check

  • As the distance between the plates of a parallel plate capacitor decreased

    A
    If both assertion and reason are ture and reason is the correct explanation of assertion.
    B
    If both assertin and reason are ture but reason is not the correct explanation of assertion .
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.

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