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2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)?
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2PBDBEP-Electric Charges and Fields 56. The force on a test charge pla...
Explanation:
Force on a test charge near a charged spherical conductor:
- The force experienced by a test charge near a charged spherical conductor is given by 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.
Variation of force with distance from the surface:
- When the test charge is placed at a distance x from the surface of the charged spherical conductor of radius r, the force experienced by the test charge varies inversely with the square of the sum of the radii of the conductor and the distance (r + x)^2.
- This inverse square relationship is due to the fact that the electric field lines emanating from the charged conductor spread out uniformly in all directions, leading to a decrease in force with increasing distance.
- Therefore, the correct option is (C) * (r + x)^2, as the force on the test charge is inversely proportional to the square of the distance from the surface of the charged conductor.
Conclusion:
- In summary, the force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x)^2. This relationship is a result of the inverse square nature of the electric field and the spread of electric field lines from the charged conductor.
Explanation:
Force on a test charge near a charged spherical conductor:
- The force experienced by a test charge near a charged spherical conductor is given by 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.
Variation of force with distance from the surface:
- When the test charge is placed at a distance x from the surface of the charged spherical conductor of radius r, the force experienced by the test charge varies inversely with the square of the sum of the radii of the conductor and the distance (r + x)^2.
- This inverse square relationship is due to the fact that the electric field lines emanating from the charged conductor spread out uniformly in all directions, leading to a decrease in force with increasing distance.
- Therefore, the correct option is (C) * (r + x)^2, as the force on the test charge is inversely proportional to the square of the distance from the surface of the charged conductor.
Conclusion:
- In summary, the force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x)^2. This relationship is a result of the inverse square nature of the electric field and the spread of electric field lines from the charged conductor.
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2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)?
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2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)?.
2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2PBDBEP-Electric Charges and Fields 56. The force on a test charge placed at a distance x from the surface of a charged spherical conductor of radius r varies inversely as (C) * (r + x) ^ 2 (D) r + x (B) x2 (A)?.
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