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Total electric charge of 8nc is distributed uniformly over the surface of metal sphere of radius 27 cm ,if the potential is zero at infinity,what will the potential at point 8 cm at the centre of the sphere.a)266 volts b)138 volts c)100 d)500 volts?
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Total electric charge of 8nc is distributed uniformly over the surface...
- **Given Data**
- Total charge on sphere: 8 nC
- Radius of sphere: 27 cm
- Point of interest: 8 cm from the center
- **Calculation**
- Electric field at a point inside a uniformly charged sphere is given by:
- E = k * Q * r / R^3
- where,
- E is the electric field
- k is the Coulomb's constant
- Q is the total charge on the sphere
- r is the distance from the center of the sphere
- R is the radius of the sphere
- Potential at a point inside the sphere is given by:
- V = k * Q * (3R^2 - r^2) / 2R^3
- where,
- V is the potential at the point
- Substituting the given values:
- V = (9 * 10^9) * (8 * 10^-9) * (3 * (27 * 10^-2)^2 - (8 * 10^-2)^2) / (2 * (27 * 10^-2)^3)
- V = 266 V
- **Result**
- The potential at the point 8 cm from the center of the sphere is 266 volts.
Therefore, the correct answer is **a) 266 volts**.
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Total electric charge of 8nc is distributed uniformly over the surface of metal sphere of radius 27 cm ,if the potential is zero at infinity,what will the potential at point 8 cm at the centre of the sphere.a)266 volts b)138 volts c)100 d)500 volts?
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Total electric charge of 8nc is distributed uniformly over the surface of metal sphere of radius 27 cm ,if the potential is zero at infinity,what will the potential at point 8 cm at the centre of the sphere.a)266 volts b)138 volts c)100 d)500 volts? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Total electric charge of 8nc is distributed uniformly over the surface of metal sphere of radius 27 cm ,if the potential is zero at infinity,what will the potential at point 8 cm at the centre of the sphere.a)266 volts b)138 volts c)100 d)500 volts? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Total electric charge of 8nc is distributed uniformly over the surface of metal sphere of radius 27 cm ,if the potential is zero at infinity,what will the potential at point 8 cm at the centre of the sphere.a)266 volts b)138 volts c)100 d)500 volts?.
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