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Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will?
Most Upvoted Answer
Two concentric conducting shperes of radii R and 2R are carrying charg...
Explanation:
Electric Potential Difference
The electric potential difference between two points in an electric field is defined as the work done per unit charge in moving a positive test charge from one point to the other against the electric field.
Formula for Electric Potential Difference
The formula for electric potential difference is given by:
V = W/Q
where V is the electric potential difference, W is the work done, and Q is the charge.
Applying the Formula
In this problem, we are given two concentric conducting spheres of radii R and 2R carrying charges Q and -2Q respectively. The charge on the inner sphere is doubled. We need to find the potential difference between the two spheres.
We can start by using the formula for electric potential difference:
V = W/Q
The work done in moving a charge from one sphere to the other is given by:
W = Q1V1 - Q2V2
where Q1 and Q2 are the charges on the spheres and V1 and V2 are their respective potentials.
Initially, the potential of the outer sphere is zero and the potential of the inner sphere is given by:
V1 = kQ/R
where k is the Coulomb constant.
The potential of the outer sphere after the charge on the inner sphere is doubled is given by:
V2 = k(-2Q)/(2R) = -kQ/R
Substituting the values in the formula for work done, we get:
W = Q(2kQ/R + kQ/R) = 3kQ^2/R
The potential difference is then given by:
V = W/Q = 3kQ/R
Final Answer
Therefore, the potential difference between the two spheres will be 3kQ/R.
Community Answer
Two concentric conducting shperes of radii R and 2R are carrying charg...
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Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will?
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Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will?.
Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two concentric conducting shperes of radii R and 2R are carrying charges Q and -2Q .if the charge on inner sphere is doubled ,the potential difference between the two spheres will?.
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