Both the capacitors shown in figure are made of square plates of edge a. The separations between the plates of the capacitors are 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 
so that it does not collide with any plate? Consider only the electric forces then find the value of n.
Text Solution
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(6)
Sol. C eq. can be written as = 
= 
charge on plate Q = C eq V = 
surface charge density = σ = 
= 
electric field = 
+ 
= 
= 
electric force = 
acceleration of electrons = 
in X axis a = ut, t = 
in Y axis ⇒ 
× acceleration × t 2 = d
= d 
= d
u = 
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