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Two charges q1 and q2 have a total charge of 11 C. When they are separated by 4.5 m, the force exerted by one charge on the other has a magnitude of 8 mN. Find q1 and q2 if both are positive so that they repel each other, and q1 is the smaller of the two. (For the universal constant k use the value 8.99 109 N m2/C2.)

Respuesta :

Answer:

[tex]q_1 = 2\mu C[/tex]

[tex]q_2 = 9 \mu C[/tex]

Explanation:

As we know that

[tex]q_1 + q_2 = 11 C[/tex]

also we know that

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

[tex]8 \times 10^{-3} = \frac{(9 \times 10^9)(q_1q_2)}{4.5^2}[/tex]

here we have

[tex]1.8 \times 10^{-11} = q_1 q_2[/tex]

so now we have

[tex]1.8 \times 10^{-11} = (11 - q_1) q_1[/tex]

so we will have

[tex]q_1 = 2\mu C[/tex]

[tex]q_2 = 9 \mu C[/tex]

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