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# Two tiny spheres carrying charges 1 point 5 mu C and 2 point 5 mu C are located 30 cm apart Find the potential and electric field at the mid-point of the line joining the two charges and

2.14 Two tiny spheres carrying charges $1.5 \mu C$ and $2.5 \mu C$ are located 30 cm apart. Find the potential and electric field:

(a) at the mid-point of the line joining the two charges

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As we know

Outside the sphere, we can assume it like a point charge. so,

the electric potential at midpoint of the two-sphere

$V=\frac{kq_1}{d/2}+\frac{kq_2}{d/2}$

where q1 and q2 are charges and d is the distance between them

SO,

$V=\frac{k1.5*10^{-6}}{0.15}+\frac{k2.5*10^{-6}}{0.15}=2.4*10^5V$

The electric field

$E=\frac{k1.5*10^{-6}}{0.15^2}-\frac{k2.5*10^{-6}}{0.15^2}=4*10^5V/m$

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