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Oduvanchick [21]
3 years ago
10

Two point-charges Q1 and Q2 are 2.5 m apart, and their total charge is 19μC. If the force of repulsion between them is 0.07 N,

what are magnitudes of the two charges by following the steps below?
a. Q1 + Q2 = _____________C
Use Coulomb's Law to calculate the product of the two charges.
b. Q1XQ2 = ________C
c. Solve for Q1 and Q2 using the two equations you got in part (a) and part (b). Hint: There are two possible solutions. Enter the answer with curly brackets as {Q1,Q2} where Q1 is the smaller charge and Q2 is the larger charge.
{Q1,Q2} = __________C
Physics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

a) Q_1+Q_2=19\times 10^{-6} C

b) Q_1.Q_2=4.861\times 10^{-11}\ C^2

c) \{Q_1,Q_2\}=\{15.953\times 10^{-6},3.047\times 10^{-6}\}

Explanation:

Given:

  • distance between the charges, r=2.5\ m
  • total charge, Q_1+Q_2=19\times 10^{-6} C .....................(1)
  • repulsive force between the charges, F=0.07\ N

<u>We first find the product of two charges using Coulomb's law:</u>

F=\frac{1}{4\pi.\epsilon_0}\times \frac{Q_1.Q_2}{r^2}

0.07=9\times 10^9\times \frac{Q_1.Q_2}{2.5^2}

Q_1.Q_2=4.861\times 10^{-11}\ C^2 ............................(2)

Now using eq.(1)&(2)

Put value of Q_1 from eq. (1) into eq. (2)

(19\times 10^{-6}-Q_2).Q_2=4.861\times 10^{-11}\ C^2

(19\times 10^{-6}-Q_2).Q_2=4.861\times 10^{-11}

Q_2=15.953\times 10^{-6}\ C\ or\ 3.047\times 10^{-6}\ C

Therefore, Charges:

\{Q_1,Q_2\}=\{15.953\times 10^{-6},3.047\times 10^{-6}\}

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