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Electric Potential
Electrostatic potential energy stored in capacitor C3. (c) ‘n’ cells, each of emf ’e’ and internal resistance ‘r’ are joined in series to form a row. ‘m’ such rows are connected in parallel to form a battery of N = mn cells. This battery is connected to an external resistance ‘R’
(i) What is the emf of this battery and how much is its internal resistance?
(ii) Show that current ‘I’ flowing through the external resistance ‘R’ is given by :
Emf = ne
Equivalent Internal resistance = R'
Three point charges Q1 = 25μ C, Q2 = 50μ C, and Q3 = 100μ C are kept at the comers A, B and C respectively of an equilateral triangle ABC having each side equal to 7.5 m. Calculate the total electrostatic potential energy of the system.
Electrostatic PE of the system:

Obtain and expression for equivalent capacitance C, when three capacitors having capacitance C1 , C2 and C3 are connected in series.

Due to the applied p.d V,charge supplied by the battery is Q and due to induction,charge developed on each battery is Q applied p d are v1 ,v2 and v3 .
V = V1 + V2 + V3 ...(i)
Q = i1V1 = i2V2 = i3V3 ---(ii)
In place of the above arrangement a single capacitor C equ is imagined which can withstand the applied P.D v and can store the same magnitude of charge Q.
Q =CequV ---(iii)
From Eq. (i) + Eq. (iii)
Q = Cequ (V1+V2+V3) ... (iv)
From Eq. (ii) + Eq. (iv)
In an electric dipole, what is the locus of a point of zero potential?
The locus of the point of zero potential of an electric dipole is straight line drawn at the middle of the electric dipole.
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