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Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges?
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Two insulated charged copper sphere A and B of identical size have cha...
New Charges on the Spheres A, B, and C
Initial Charges:
- Sphere A: Qa
- Sphere B: Qb
- Sphere C: 0
Step 1: Sphere C brought in contact with A
When sphere C is brought in contact with sphere A, they will share their charges. The total charge will be distributed equally between them, leading to each sphere having a charge of (Qa + 0) / 2 = Qa / 2.
Step 2: Sphere C brought in contact with B
Next, when sphere C with charge Qa / 2 is brought in contact with sphere B with charge Qb, they will again share their charges. The total charge will be distributed equally between them, resulting in each sphere having a charge of (Qa / 2 + Qb) / 2 = (Qa + 2Qb) / 4.
Step 3: Sphere C removed from both A and B
After being in contact with both spheres, C will have a charge of (Qa + 2Qb) / 4.
Therefore, the new charges on the spheres after the process are:
- Sphere A: Qa / 2
- Sphere B: Qb / 2
- Sphere C: (Qa + 2Qb) / 4
This process follows the principles of charge conservation and the law of electrostatics, where charges redistribute themselves to minimize the potential energy of the system.
Initial Charges:
- Sphere A: Qa
- Sphere B: Qb
- Sphere C: 0
Step 1: Sphere C brought in contact with A
When sphere C is brought in contact with sphere A, they will share their charges. The total charge will be distributed equally between them, leading to each sphere having a charge of (Qa + 0) / 2 = Qa / 2.
Step 2: Sphere C brought in contact with B
Next, when sphere C with charge Qa / 2 is brought in contact with sphere B with charge Qb, they will again share their charges. The total charge will be distributed equally between them, resulting in each sphere having a charge of (Qa / 2 + Qb) / 2 = (Qa + 2Qb) / 4.
Step 3: Sphere C removed from both A and B
After being in contact with both spheres, C will have a charge of (Qa + 2Qb) / 4.
Therefore, the new charges on the spheres after the process are:
- Sphere A: Qa / 2
- Sphere B: Qb / 2
- Sphere C: (Qa + 2Qb) / 4
This process follows the principles of charge conservation and the law of electrostatics, where charges redistribute themselves to minimize the potential energy of the system.
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Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges?
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Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges?.
Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated charged copper sphere A and B of identical size have charges Q a and Q b respectively A third sphere C of same size but incharges is brought in contact with first and then in contact with second and finally removed from both what are the new charges?.
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