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Semmy [17]
3 years ago
13

Two point charges, A and B, are separated by a distance of 16.0cm. The magnitude of the charge on A is twice that of the charge

on B. If each charge exerts a force of magnitude 43.0 N on the other, find the magnitudes of the charges. Charge A: ____ in C
Charge B: _____ in C
Physics
1 answer:
mart [117]3 years ago
5 0

Answer:

Charge on A is q=0.7820\times 10^{-5}C

Charge on B is 2q=2\times 0.7820\times 10^{-5}C=1.5640\times 10^{-5}C[/tex]  Explanation:We have given one charge is twice of other charge Let [tex]q_1=q, then q_2=2q

Distance between two charges = 16 cm = 0.16 m

Force F = 43 N

According to coulombs law force between tow charges is given by

F=\frac{1}{4\pi \epsilon _0}\frac{q_1q_2}{r^2}=\frac{Kq_1q_2}{r^2}, here K is constant which value is 9\times 10^9

So 43=\frac{9\times 10^92q^2}{0.16^2}

q^2=0.0611\times 10^{-9}

q^2=0.611\times 10^{-10}

q=0.7820\times 10^{-5}C so charge on A is q=0.7820\times 10^{-5}C

And charge on B is 2q=2\times 0.7820\times 10^{-5}C=1.5640\times 10^{-5}C

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