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Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ?
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Consider an annular ring of inner and outer radius a and b .A charge Q...
Electric Potential at the Center of an Annular Ring
Given:
- Inner radius of the ring, a
- Outer radius of the ring, b
- Charge uniformly distributed on the ring, Q
Electric Potential Calculation:
- The electric potential at a point due to a charged ring can be calculated using the formula:
V = k * Q / r
Where:
V is the electric potential
k is Coulomb's constant
Q is the total charge on the ring
r is the distance from the center of the ring
Electric Potential at the Center:
- At the center of the ring, the distance from any point on the ring to the center is the same and is equal to the average of the inner and outer radii:
r = (a + b) / 2
- Substituting this value of r into the formula, we get:
V = k * Q / ((a + b) / 2)
V = 2kQ / (a + b)
- Therefore, the electric potential at the center of the annular ring is given by:
V = 2kQ / (a + b)
Conclusion:
- The electric potential at the center of an annular ring with charge Q uniformly distributed on it is directly proportional to the total charge and inversely proportional to the average of the inner and outer radii.
Given:
- Inner radius of the ring, a
- Outer radius of the ring, b
- Charge uniformly distributed on the ring, Q
Electric Potential Calculation:
- The electric potential at a point due to a charged ring can be calculated using the formula:
V = k * Q / r
Where:
V is the electric potential
k is Coulomb's constant
Q is the total charge on the ring
r is the distance from the center of the ring
Electric Potential at the Center:
- At the center of the ring, the distance from any point on the ring to the center is the same and is equal to the average of the inner and outer radii:
r = (a + b) / 2
- Substituting this value of r into the formula, we get:
V = k * Q / ((a + b) / 2)
V = 2kQ / (a + b)
- Therefore, the electric potential at the center of the annular ring is given by:
V = 2kQ / (a + b)
Conclusion:
- The electric potential at the center of an annular ring with charge Q uniformly distributed on it is directly proportional to the total charge and inversely proportional to the average of the inner and outer radii.
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Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ?
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Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ?.
Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an annular ring of inner and outer radius a and b .A charge Q is uniformly distributed on the ring the potential at the centre of the ring ?.
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