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In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges?
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In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC...
The side length of the triangle is not given. Let it be "a".
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In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC...
The net force on charge A due to the rest of the charges in the equilateral triangle can be determined by considering the electric forces between the charges. To find the net force, we need to calculate the individual forces between charge A and charges B and C separately, and then add them together as vectors.
1. Calculate the force between charge A and charge B:
The force between two charges can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
The formula for the electric force between two charges is:
F = k * (q1 * q2) / r^2
Where:
F is the force between the charges,
k is the electrostatic constant (9 x 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges,
and r is the distance between the charges.
In this case, charge A has a magnitude of 1 MC (mega-coulomb) and charge B has a magnitude of 3 MC. Since the triangle is equilateral, the distance between A and B is equal to the side length of the triangle, which we'll call it s.
So, the force between A and B is:
F_AB = k * (1 MC * 3 MC) / s^2
2. Calculate the force between charge A and charge C:
Similarly, the force between A and C can be calculated using the same formula.
In this case, charge C has a magnitude of 2 MC, and the distance between A and C is also equal to the side length of the triangle, s.
So, the force between A and C is:
F_AC = k * (1 MC * 2 MC) / s^2
3. Find the net force on A:
To find the net force on charge A, we need to add the individual forces as vectors. Since the forces between A and B and between A and C act in opposite directions (due to the opposite signs of the charges), we need to consider their directions while adding them.
As the triangle is equilateral, the forces F_AB and F_AC are equal in magnitude but opposite in direction. Therefore, the net force on A is given by the vector sum of these forces:
Net force on A = F_AB - F_AC
To calculate the net force, substitute the values of F_AB and F_AC obtained from the previous calculations into the equation.
Finally, determine the magnitude and direction of the net force on charge A by using vector addition.
1. Calculate the force between charge A and charge B:
The force between two charges can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
The formula for the electric force between two charges is:
F = k * (q1 * q2) / r^2
Where:
F is the force between the charges,
k is the electrostatic constant (9 x 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges,
and r is the distance between the charges.
In this case, charge A has a magnitude of 1 MC (mega-coulomb) and charge B has a magnitude of 3 MC. Since the triangle is equilateral, the distance between A and B is equal to the side length of the triangle, which we'll call it s.
So, the force between A and B is:
F_AB = k * (1 MC * 3 MC) / s^2
2. Calculate the force between charge A and charge C:
Similarly, the force between A and C can be calculated using the same formula.
In this case, charge C has a magnitude of 2 MC, and the distance between A and C is also equal to the side length of the triangle, s.
So, the force between A and C is:
F_AC = k * (1 MC * 2 MC) / s^2
3. Find the net force on A:
To find the net force on charge A, we need to add the individual forces as vectors. Since the forces between A and B and between A and C act in opposite directions (due to the opposite signs of the charges), we need to consider their directions while adding them.
As the triangle is equilateral, the forces F_AB and F_AC are equal in magnitude but opposite in direction. Therefore, the net force on A is given by the vector sum of these forces:
Net force on A = F_AB - F_AC
To calculate the net force, substitute the values of F_AB and F_AC obtained from the previous calculations into the equation.
Finally, determine the magnitude and direction of the net force on charge A by using vector addition.
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In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges?
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In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges?.
In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a equilateral triangle ,sides A B C ,CHARGE ON A= 1 MC B =3MC C=2MC .Find the net force on A due to rest of charges?.
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