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A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle
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Most Upvoted Answer
A metal sphere of radius 0.1 metre is charged to a potential 36 kilo v...
Given r=0.1m
V=36kv
AB=0.4cm,BC=0.5cm and angle b=90
q=3×10^-6C
To find
V=KQ÷E
Va=KQ÷0.4
Vb=KQ÷0.5
(Va-Vb)q=W
(KQ÷0.4-KQ÷0.5)×2×10^-6
For charged sphere KQ÷0.1=36×10^3
KQ=3600
From 1 and 2
W=3600(0.1÷0.4×0.5)×10^-6×10^2
W=5400×10^-6 =5.4×10^-3J
V=36kv
AB=0.4cm,BC=0.5cm and angle b=90
q=3×10^-6C
To find
V=KQ÷E
Va=KQ÷0.4
Vb=KQ÷0.5
(Va-Vb)q=W
(KQ÷0.4-KQ÷0.5)×2×10^-6
For charged sphere KQ÷0.1=36×10^3
KQ=3600
From 1 and 2
W=3600(0.1÷0.4×0.5)×10^-6×10^2
W=5400×10^-6 =5.4×10^-3J
Community Answer
A metal sphere of radius 0.1 metre is charged to a potential 36 kilo v...
Introduction
To calculate the work required to charge 3 microcoulombs at the corner of triangle ABC, we need to evaluate the potential energy involved in moving the charge in the electric field created by the charged metal sphere.
Given Data
- Radius of the sphere: 0.1 m
- Potential of the sphere: 36 kV (or 36,000 V)
- Charge to be moved: 3 μC (or 3 x 10^-6 C)
- Triangle dimensions:
- AB = 0.4 cm = 0.004 m
- BC = 0.5 m
- Angle B = 90°
Electric Potential
- The potential at a distance 'r' from a charged sphere is given by the formula:
V = k * Q / r
Where k is Coulomb's constant (approximately 8.99 x 10^9 Nm²/C²) and Q is the charge on the sphere.
Calculating Work Done
- Work done (W) in moving a charge in an electric field is given by:
W = q * V
where 'q' is the charge being moved, and 'V' is the potential at the location of the charge.
- In this case:
- V = 36,000 V
- q = 3 x 10^-6 C
- Substitute the values:
W = 3 x 10^-6 C * 36,000 V = 0.108 J
Conclusion
The work required to charge 3 microcoulombs to the corner of triangle ABC is 0.108 Joules.
This calculation assumes that the potential remains constant during the movement of the charge, which is a reasonable approximation given the distances involved relative to the size of the sphere.
To calculate the work required to charge 3 microcoulombs at the corner of triangle ABC, we need to evaluate the potential energy involved in moving the charge in the electric field created by the charged metal sphere.
Given Data
- Radius of the sphere: 0.1 m
- Potential of the sphere: 36 kV (or 36,000 V)
- Charge to be moved: 3 μC (or 3 x 10^-6 C)
- Triangle dimensions:
- AB = 0.4 cm = 0.004 m
- BC = 0.5 m
- Angle B = 90°
Electric Potential
- The potential at a distance 'r' from a charged sphere is given by the formula:
V = k * Q / r
Where k is Coulomb's constant (approximately 8.99 x 10^9 Nm²/C²) and Q is the charge on the sphere.
Calculating Work Done
- Work done (W) in moving a charge in an electric field is given by:
W = q * V
where 'q' is the charge being moved, and 'V' is the potential at the location of the charge.
- In this case:
- V = 36,000 V
- q = 3 x 10^-6 C
- Substitute the values:
W = 3 x 10^-6 C * 36,000 V = 0.108 J
Conclusion
The work required to charge 3 microcoulombs to the corner of triangle ABC is 0.108 Joules.
This calculation assumes that the potential remains constant during the movement of the charge, which is a reasonable approximation given the distances involved relative to the size of the sphere.
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A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle?
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A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle? 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 A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle?.
A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle? 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 A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal sphere of radius 0.1 metre is charged to a potential 36 kilo volt and kept at economy of a right angle triangle ABC with ab is equal to 0.4 CM BC is equal to 0.5 m and angle b is 90� calculate the work required to charge 3 microcoulomb samsi to the corner of a triangle?.
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