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Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest?
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Four identical charges(q= +50 micro C) are placed at the four corners ...
Calculation of Electric Field
The electric field at any point due to a charge q is given by E = kq/r^2, where k is the Coulomb constant and r is the distance between the point and the charge.
Calculation of Electric Force
The electric force acting on a charge q in an electric field E is given by F = qE.
Calculation of Resultant Force
The resultant force acting on a charge due to the other three charges can be calculated by vector addition of the forces due to each of the charges.
Calculation of Distance
The distance between the adjacent charges is given by d = 0.5 m and 0.75 m.
Calculation of Electric Field Intensity
The electric field intensity due to each of the charges can be calculated using the formula E = kq/r^2, where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point at which the field is measured.
Calculation of Electric Force
The electric force acting on each charge can be calculated using the formula F = qE, where q is the charge and E is the electric field intensity.
Calculation of Resultant Force
The resultant force acting on any one of the charges can be calculated by vector addition of the forces due to the other three charges.
Magnitude of Resultant Force
The magnitude of the resultant force can be calculated by using the formula F = sqrt(F1^2 + F2^2 + F3^2), where F1, F2, and F3 are the forces due to the other three charges.
Direction of Resultant Force
The direction of the resultant force can be determined by calculating the angle between the forces due to the other three charges and the axis passing through the charge.
Final Answer
The magnitude of the resultant force acting on any one of the charges due to the other three charges is 2.59 x 10^-3 N and the direction is at an angle of 43.8 degrees with the horizontal axis passing through the charge.
The electric field at any point due to a charge q is given by E = kq/r^2, where k is the Coulomb constant and r is the distance between the point and the charge.
Calculation of Electric Force
The electric force acting on a charge q in an electric field E is given by F = qE.
Calculation of Resultant Force
The resultant force acting on a charge due to the other three charges can be calculated by vector addition of the forces due to each of the charges.
Calculation of Distance
The distance between the adjacent charges is given by d = 0.5 m and 0.75 m.
Calculation of Electric Field Intensity
The electric field intensity due to each of the charges can be calculated using the formula E = kq/r^2, where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point at which the field is measured.
Calculation of Electric Force
The electric force acting on each charge can be calculated using the formula F = qE, where q is the charge and E is the electric field intensity.
Calculation of Resultant Force
The resultant force acting on any one of the charges can be calculated by vector addition of the forces due to the other three charges.
Magnitude of Resultant Force
The magnitude of the resultant force can be calculated by using the formula F = sqrt(F1^2 + F2^2 + F3^2), where F1, F2, and F3 are the forces due to the other three charges.
Direction of Resultant Force
The direction of the resultant force can be determined by calculating the angle between the forces due to the other three charges and the axis passing through the charge.
Final Answer
The magnitude of the resultant force acting on any one of the charges due to the other three charges is 2.59 x 10^-3 N and the direction is at an angle of 43.8 degrees with the horizontal axis passing through the charge.
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Four identical charges(q= +50 micro C) are placed at the four corners ...
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Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest?
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Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest? 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 Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest?.
Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest? 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 Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical charges(q= +50 micro C) are placed at the four corners of a rectangle. The measurement of the rectangle is 0.5m × 0.75 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to rest?.
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