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Question: Two point charges of + 3 \(\mu C\)and + 4 \(\mu C\) repel each other with a force of 10 N. If each i...

Two point charges of + 3 μC\mu Cand + 4 μC\mu C repel each other with a force of 10 N. If each is given an additional charge of 6μC,- 6\mu C, the new force is.

A

2N

B

4N

C

5N

D

7.5 N

Answer

7.5 N

Explanation

Solution

: Here, q1=+3μC,q2=+4μC,F=10Nq_{1} = + 3\mu C,q_{2} = + 4\mu C,F = 10N

q1=+36=3μCq_{1}' = + 3 - 6 = - 3\mu C

q2=+46=2μC,q_{2}' = + 4 - 6 = - 2\mu C,

=(3)×(2)2×6=68=34F=34×F=34×10=7.5N= \frac{( - 3) \times ( - 2)}{2 \times 6} = \frac{6}{8} = \frac{3}{4}\therefore F' = \frac{3}{4} \times F = \frac{3}{4} \times 10 = 7.5N