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A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell is
- a)towards left
- b)towards right
- c)upward
- d)zero
Correct answer is option 'B'. Can you explain this answer?
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A thin, metallic spherical shell contains a charge Q on it. A point ch...
We know that electric field lines emerge from a positive charge and move towards a negative charge. Now, charge Q, on the face in front of charge q1, tries to nullify the field lines emerging from charge q1. So, the charge on the farther face of the conductor dominates and, hence, a force appears to the right of charge q.
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A thin, metallic spherical shell contains a charge Q on it. A point ch...
Explanation of the Situation
In this scenario, we have a thin metallic spherical shell with a charge Q and a point charge q located at its center. Additionally, there is another charge q1 outside the shell.
Key Concepts
- Gauss's Law: This law states that the electric field inside a conductor in electrostatic equilibrium is zero. This is crucial as it helps us understand the behavior of charges in this situation.
- Induced Charge: When the charge q is placed at the center of the shell, it induces a charge on the inner surface of the shell. In this case, it will induce a charge of -q on the inner surface, while a charge of Q + q will be present on the outer surface.
Force on the Central Charge
- Electric Field Inside the Shell: According to Gauss's Law, the electric field inside a conductive shell, where the charge is uniformly distributed, is zero. Therefore, the point charge q at the center does not experience any electric field due to the shell itself.
- Influence of External Charge (q1): The charge q1 outside the shell does generate an electric field; however, this field does not penetrate the shell. Hence, it does not affect the force felt by the central charge q.
Conclusion
- Thus, the net force acting on the central charge q due to the shell and the external charge q1 is zero.
Therefore, the correct answer is that the force on the central charge due to the shell is:
Option 'D': Zero
This contradicts the provided answer 'B', indicating that there may have been a misunderstanding regarding the influences at play.
In this scenario, we have a thin metallic spherical shell with a charge Q and a point charge q located at its center. Additionally, there is another charge q1 outside the shell.
Key Concepts
- Gauss's Law: This law states that the electric field inside a conductor in electrostatic equilibrium is zero. This is crucial as it helps us understand the behavior of charges in this situation.
- Induced Charge: When the charge q is placed at the center of the shell, it induces a charge on the inner surface of the shell. In this case, it will induce a charge of -q on the inner surface, while a charge of Q + q will be present on the outer surface.
Force on the Central Charge
- Electric Field Inside the Shell: According to Gauss's Law, the electric field inside a conductive shell, where the charge is uniformly distributed, is zero. Therefore, the point charge q at the center does not experience any electric field due to the shell itself.
- Influence of External Charge (q1): The charge q1 outside the shell does generate an electric field; however, this field does not penetrate the shell. Hence, it does not affect the force felt by the central charge q.
Conclusion
- Thus, the net force acting on the central charge q due to the shell and the external charge q1 is zero.
Therefore, the correct answer is that the force on the central charge due to the shell is:
Option 'D': Zero
This contradicts the provided answer 'B', indicating that there may have been a misunderstanding regarding the influences at play.
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A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer?
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A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer?.
A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell isa)towards leftb)towards rightc)upwardd)zeroCorrect answer is option 'B'. Can you explain this answer?.
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