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Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are?
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Two metal spheres, one of radius R and the other of radius 2R,both hav...
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Two metal spheres, one of radius R and the other of radius 2R,both hav...
Initial Situation:
- Two metal spheres with radii R and 2R have the same surface charge density sigma.
When brought in contact:
- When the spheres are brought in contact, charge will flow from the sphere with higher radius to the one with smaller radius.
- This is because the charges will redistribute themselves to minimize the electrostatic potential energy.
Charge redistribution:
- The total charge on the system remains the same after contact and separation.
- The charge Q on the larger sphere will reduce and the charge q on the smaller sphere will increase.
- The charges will redistribute in a way that the potential on both spheres becomes equal.
Calculation of new surface charge densities:
- Let the new surface charge density on the sphere with radius R be sigma1 and on the sphere with radius 2R be sigma2.
- Since charge is conserved, the total charge Q on the larger sphere will be equal to the total charge q on the smaller sphere.
- The new surface charge densities can be calculated using the formula: Q = 4πR^2 * sigma1 = 4π(2R)^2 * sigma2
Final Result:
- Solving the above equation, we find that sigma1 = 4 * sigma2.
- Therefore, the new surface charge density on the sphere with radius R will be 4 times the surface charge density on the sphere with radius 2R after they are brought in contact and separated.
- Two metal spheres with radii R and 2R have the same surface charge density sigma.
When brought in contact:
- When the spheres are brought in contact, charge will flow from the sphere with higher radius to the one with smaller radius.
- This is because the charges will redistribute themselves to minimize the electrostatic potential energy.
Charge redistribution:
- The total charge on the system remains the same after contact and separation.
- The charge Q on the larger sphere will reduce and the charge q on the smaller sphere will increase.
- The charges will redistribute in a way that the potential on both spheres becomes equal.
Calculation of new surface charge densities:
- Let the new surface charge density on the sphere with radius R be sigma1 and on the sphere with radius 2R be sigma2.
- Since charge is conserved, the total charge Q on the larger sphere will be equal to the total charge q on the smaller sphere.
- The new surface charge densities can be calculated using the formula: Q = 4πR^2 * sigma1 = 4π(2R)^2 * sigma2
Final Result:
- Solving the above equation, we find that sigma1 = 4 * sigma2.
- Therefore, the new surface charge density on the sphere with radius R will be 4 times the surface charge density on the sphere with radius 2R after they are brought in contact and separated.
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Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are?
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Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are?.
Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two metal spheres, one of radius R and the other of radius 2R,both have same surface charge density sigma. If they brought in contact and separated, then the new surface charge densities on the each of the sphere are?.
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