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A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm?
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A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 c...
Given Information:
- Charge 1 (+2µC) at x = 0
- Charge 2 (-32 µC) at x = 60 cm
- Charge 3 (-Q) to be placed on the x-axis
Concept:
- The third charge should be placed at such a distance that the net force on it is zero.
- This can be achieved by considering the forces from the other two charges and setting them equal to zero.
Calculation:
Let's assume the distance of the third charge from the +2µC charge is x cm. Therefore, the distance from the -32 µC charge would be (60 - x) cm.
The force due to the +2µC charge on the third charge:
F1 = k * (2 * 10^-6) * Q / x^2
The force due to the -32 µC charge on the third charge:
F2 = k * (-32 * 10^-6) * Q / (60 - x)^2
For the third charge to experience no net force:
F1 = F2
k * (2 * 10^-6) * Q / x^2 = k * (-32 * 10^-6) * Q / (60 - x)^2
Solving the above equation, we get:
2 / x^2 = -32 / (60 - x)^2
x = 15 cm
Therefore, the distance of the third charge from the +2µC charge is 15 cm. Hence, the correct answer is option c) 15 cm.
- Charge 1 (+2µC) at x = 0
- Charge 2 (-32 µC) at x = 60 cm
- Charge 3 (-Q) to be placed on the x-axis
Concept:
- The third charge should be placed at such a distance that the net force on it is zero.
- This can be achieved by considering the forces from the other two charges and setting them equal to zero.
Calculation:
Let's assume the distance of the third charge from the +2µC charge is x cm. Therefore, the distance from the -32 µC charge would be (60 - x) cm.
The force due to the +2µC charge on the third charge:
F1 = k * (2 * 10^-6) * Q / x^2
The force due to the -32 µC charge on the third charge:
F2 = k * (-32 * 10^-6) * Q / (60 - x)^2
For the third charge to experience no net force:
F1 = F2
k * (2 * 10^-6) * Q / x^2 = k * (-32 * 10^-6) * Q / (60 - x)^2
Solving the above equation, we get:
2 / x^2 = -32 / (60 - x)^2
x = 15 cm
Therefore, the distance of the third charge from the +2µC charge is 15 cm. Hence, the correct answer is option c) 15 cm.
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A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm?
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A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm?.
A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge of +2µC is placed at x = 0 and a charge of -32 µC at x = 60 cm. A third charge -Q be placed on the x-axis such that it experiences no force. The distance of the point from +2µC is c) 15 cm b) 20 cm a) -20 cm d) 10 cm?.
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