Question

Q.2. Each of two small spheres is charged positively, the total charge being 52.6 uc.
Each sphere is repelled from the other with a force of 1.19 N when the spheres are 1.94 m
apart. Calculate the charge on each sphere. [4]​

Answer 1

Answer:

Two charges on each sphere are given as

$q_1 = 40.2 \mu C$

$q_2 = 12.4 \mu C$

Explanation:

Let the two charges on the two sphere is q1 and q2

now the electrostatic force between two sphere is given as

$F = \frac{kq_1q_2}{r^2}$

so we have

$1.19 = \frac{(9\times 10^9)q_1q_2}{1.94^2}$

so we have

$q_1q_2 = 4.97 \times 10^{-10}$

also we know know the total charge

$q_1 + q_2 = 52.6 \times 10^{-6}$

now we have

$q_1 + \frac{4.97 \times 10^{-10}}{q_1} = 52.6 \times 10^{-6}$

so we have

$q_1 = 40.2 \mu C$

$q_2 = 12.4 \mu C$

#Learn

Topic : Electrostatics

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