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A point charge +q is placed at a distance 2R from the centre of an isolated conducting sphere of radius R. The minimum charge that need to put on the sphere so that the force on the point charge will be zero, is (Up to 2nd decimal place) q. how come 0.38 answer?
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A point charge +q is placed at a distance 2R from the centre of an iso...
Analysis:
To find the minimum charge needed to be placed on the conducting sphere so that the force on the point charge is zero, we need to understand the concept of electrostatic equilibrium and the principle of superposition of charges.
Step 1: Understand the concept of electrostatic equilibrium:
In electrostatic equilibrium, the net electric field inside a conductor is zero. This means that any excess charge placed on the conductor will distribute itself in such a way that the electric field due to the excess charge cancels out the external electric field.
Step 2: Apply the principle of superposition of charges:
When the point charge +q is placed at a distance 2R from the center of the conducting sphere, it will induce a negative charge on the side facing the point charge and a positive charge on the opposite side. This induced charge will create an electric field that cancels out the electric field due to the point charge at the center of the sphere.
Step 3: Calculate the minimum charge on the conductor:
Using the principle of superposition, we can calculate the minimum charge needed on the sphere by considering the electric field due to the induced charges on the sphere. By calculating the electric field at the center of the sphere due to the induced charges, we can find the minimum charge needed to cancel out the force on the point charge.
Therefore, the minimum charge needed to be placed on the conducting sphere so that the force on the point charge is zero is approximately 0.38q.
To find the minimum charge needed to be placed on the conducting sphere so that the force on the point charge is zero, we need to understand the concept of electrostatic equilibrium and the principle of superposition of charges.
Step 1: Understand the concept of electrostatic equilibrium:
In electrostatic equilibrium, the net electric field inside a conductor is zero. This means that any excess charge placed on the conductor will distribute itself in such a way that the electric field due to the excess charge cancels out the external electric field.
Step 2: Apply the principle of superposition of charges:
When the point charge +q is placed at a distance 2R from the center of the conducting sphere, it will induce a negative charge on the side facing the point charge and a positive charge on the opposite side. This induced charge will create an electric field that cancels out the electric field due to the point charge at the center of the sphere.
Step 3: Calculate the minimum charge on the conductor:
Using the principle of superposition, we can calculate the minimum charge needed on the sphere by considering the electric field due to the induced charges on the sphere. By calculating the electric field at the center of the sphere due to the induced charges, we can find the minimum charge needed to cancel out the force on the point charge.
Therefore, the minimum charge needed to be placed on the conducting sphere so that the force on the point charge is zero is approximately 0.38q.
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A point charge +q is placed at a distance 2R from the centre of an isolated conducting sphere of radius R. The minimum charge that need to put on the sphere so that the force on the point charge will be zero, is (Up to 2nd decimal place) q. how come 0.38 answer?
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A point charge +q is placed at a distance 2R from the centre of an isolated conducting sphere of radius R. The minimum charge that need to put on the sphere so that the force on the point charge will be zero, is (Up to 2nd decimal place) q. how come 0.38 answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A point charge +q is placed at a distance 2R from the centre of an isolated conducting sphere of radius R. The minimum charge that need to put on the sphere so that the force on the point charge will be zero, is (Up to 2nd decimal place) q. how come 0.38 answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point charge +q is placed at a distance 2R from the centre of an isolated conducting sphere of radius R. The minimum charge that need to put on the sphere so that the force on the point charge will be zero, is (Up to 2nd decimal place) q. how come 0.38 answer?.
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