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A charge of 2 X 10-7 C is acted upon by a force of 0.1N. Determine the distance to the other charge of 4.5 X 10-7 C, both the charges are in vacuum.
- a)0.03
- b)0.05
- c)0.07
- d)0.09
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A charge of 2 X 10-7C is acted upon by a force of 0.1N. Determine the ...
Given:
Charge 1 (q1) = 2 X 10^-7 C
Force (F) = 0.1N
Charge 2 (q2) = 4.5 X 10^-7 C
Formula:
Coulomb's Law: F = k * |q1 * q2| / r^2
Where,
F = force between the charges
k = Coulomb's constant (9 x 10^9 N m^2/C^2)
q1, q2 = magnitudes of the charges
r = distance between the charges
Calculation:
Given that the force acting on charge 1 is 0.1N, we can calculate the distance (r) between the two charges using Coulomb's Law.
0.1 = (9 x 10^9) * |2 x 10^-7 * 4.5 x 10^-7| / r^2
0.1 = 81 x 10^2 * 9 x 10^-14 / r^2
0.1 = 729 x 10^-12 / r^2
r^2 = 729 x 10^-12 / 0.1
r^2 = 729 x 10^-11
r = √(729 x 10^-11)
r = 0.09
Therefore, the distance between the two charges is 0.09m or 0.09m. Hence, the correct answer is option 'D'.
Charge 1 (q1) = 2 X 10^-7 C
Force (F) = 0.1N
Charge 2 (q2) = 4.5 X 10^-7 C
Formula:
Coulomb's Law: F = k * |q1 * q2| / r^2
Where,
F = force between the charges
k = Coulomb's constant (9 x 10^9 N m^2/C^2)
q1, q2 = magnitudes of the charges
r = distance between the charges
Calculation:
Given that the force acting on charge 1 is 0.1N, we can calculate the distance (r) between the two charges using Coulomb's Law.
0.1 = (9 x 10^9) * |2 x 10^-7 * 4.5 x 10^-7| / r^2
0.1 = 81 x 10^2 * 9 x 10^-14 / r^2
0.1 = 729 x 10^-12 / r^2
r^2 = 729 x 10^-12 / 0.1
r^2 = 729 x 10^-11
r = √(729 x 10^-11)
r = 0.09
Therefore, the distance between the two charges is 0.09m or 0.09m. Hence, the correct answer is option 'D'.
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Community Answer
A charge of 2 X 10-7C is acted upon by a force of 0.1N. Determine the ...
F = q1q2/(4∏εor2) , substituting q1, q2 and F, r2 = q1q2/(4∏εoF) =
We get r = 0.09m.
We get r = 0.09m.
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A charge of 2 X 10-7C is acted upon by a force of 0.1N. Determine the distance to the other charge of 4.5 X 10-7C, both the charges are in vacuum.a)0.03b)0.05c)0.07d)0.09Correct answer is option 'D'. Can you explain this answer?
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