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Question: Two tiny spheres carrying charges 1.8 \(\mu C\) and \(2.8\mu C\) are located at 40 cm apart. The pot...

Two tiny spheres carrying charges 1.8 μC\mu C and 2.8μC2.8\mu C are located at 40 cm apart. The potential at the mid – point of the line joining the two charges is.

A

3.8×104V3.8 \times 10^{4}V

B

2.1×105V2.1 \times 10^{5}V

C

4.3×104V4.3 \times 10^{4}V

D

3.6×105V3.6 \times 10^{5}V

Answer

2.1×105V2.1 \times 10^{5}V

Explanation

Solution

: Here, q1=1.8μC=1.8×106C,q_{1} = 1.8\mu C = 1.8 \times 10^{- 6}C,

q2=2.8μC=2.8×106Cq_{2} = 2.8\mu C = 2.8 \times 10^{- 6}C

Distance between the two spheres =40cm=0.4m= 40cm = 0.4m

For the mid – point, r1=r2=0.402=0.2mr_{1} = r_{2} = \frac{0.40}{2} = 0.2m

Potential at O,

}{= 2.1 \times 10^{5}V}$$