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Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.?
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Two sphere of radius 20 cm and 40 cm are charge to potential of 50v an...
Calculation of Common Potential and Loss of Energy
Given:
- Radius of first sphere = 20 cm
- Radius of second sphere = 40 cm
- Potential of first sphere = 50 V
- Potential of second sphere = 35 V
Calculation of Common Potential
When two spheres are connected by a wire, they attain a common potential. This potential can be calculated using the formula:
Vc = (Q1 + Q2) / (4πε0R)
- Q1 = 4πε0R12V1
- Q2 = 4πε0R22V2
Substituting the given values, we get:
- Q1 = 1.13 x 10-8 C
- Q2 = 1.58 x 10-7 C
- R1 = 20 cm = 0.2 m
- R2 = 40 cm = 0.4 m
- V1 = 50 V
- V2 = 35 V
- ε0 = 8.85 x 10-12 F/m
Using the above values in the formula, we get:
Vc = 43.13 V
Calculation of Loss of Energy
When the two spheres are connected by a wire, the charges will flow from the sphere with higher potential to the sphere with lower potential until they both attain the same potential. During this process, some energy will be lost in the form of heat due to the resistance of the wire. The loss of energy can be calculated using the formula:
E = (Q1 + Q2) / 2 x (V1 - V2)
Substituting the given values, we get:
- Q1 = 1.13 x 10-8 C
- Q2 = 1.58 x 10-7 C
- V1 = 50 V
- V2
Community Answer
Two sphere of radius 20 cm and 40 cm are charge to potential of 50v an...
Common potential 40V
loss of energy 1.6 ×10 to power minus 2
loss of energy 1.6 ×10 to power minus 2
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Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.?
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Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.?.
Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sphere of radius 20 cm and 40 cm are charge to potential of 50v and 35v. Calculate the common potential if they are connected by a wire and calculate it's loss of energy.?.
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