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Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere?
Most Upvoted Answer
Two insulated metal sphere of radii 10cm and 15cm charged to a potenti...
Given:
To find: Charge on the first sphere
Concept: When two charged spheres are connected by a metallic wire, they share their charges and come to a common potential. The final potential of the spheres will be the average of their initial potentials. The charge on each sphere can be calculated using the formula: Q = 4πεrV, where ε is the permittivity of free space, r is the radius of the sphere, and V is the potential of the sphere.
Calculation:
Answer: The charge on the first sphere is 1.39 x 10^-7 C.
- Radius of first sphere, r1 = 10 cm
- Radius of second sphere, r2 = 15 cm
- Potential of first sphere, V1 = 150V
- Potential of second sphere, V2 = 100V
To find: Charge on the first sphere
Concept: When two charged spheres are connected by a metallic wire, they share their charges and come to a common potential. The final potential of the spheres will be the average of their initial potentials. The charge on each sphere can be calculated using the formula: Q = 4πεrV, where ε is the permittivity of free space, r is the radius of the sphere, and V is the potential of the sphere.
Calculation:
- Final potential of the two spheres, Vf = (V1 + V2)/2 = (150V + 100V)/2 = 125V
- Charge on the first sphere, Q1 = 4πεr1Vf = 4π(8.85 x 10^-12 F/m)(0.1m)(125V) = 1.39 x 10^-7 C
Answer: The charge on the first sphere is 1.39 x 10^-7 C.
Community Answer
Two insulated metal sphere of radii 10cm and 15cm charged to a potenti...
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Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere?
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Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere?.
Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated metal sphere of radii 10cm and 15cm charged to a potential of 150V and 100V respectively are connected by means of metallic wire. what is the charge on first sphere?.
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