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Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was?
Most Upvoted Answer
Two sphers of radii r1 and r2 having equal charges afe joined together...
Given:
Two spheres of radii r1 and r2 having equal charges are joined together with a copper wire.
Let the potential of each sphere after they are separated be v.
To find:
The initial charge on both spheres.
Solution:
When two spheres are joined with a copper wire, they become equipotential. Therefore, the potential of each sphere will be the same, i.e., v.
Using the formula for potential:
V = kQ/r
where V is the potential, k is Coulomb's constant, Q is the charge on the sphere, and r is the radius of the sphere.
For sphere 1:
V = kQ1/r1
Q1 = Vr1/k
For sphere 2:
V = kQ2/r2
Q2 = Vr2/k
Since the spheres have equal charges, Q1 = Q2.
Therefore, Vr1/k = Vr2/k
r1/r2 = V/V
Since the radii are known, the ratio of charges can be found.
Q1/Q2 = (r1/r2)^2
Now, the problem can be solved by substituting the given values of r1, r2, and V.
Answer:
The initial charge on both spheres was Q1 = Q2 = Vr/k, where r is the radius of the spheres and k is Coulomb's constant.
Two spheres of radii r1 and r2 having equal charges are joined together with a copper wire.
Let the potential of each sphere after they are separated be v.
To find:
The initial charge on both spheres.
Solution:
When two spheres are joined with a copper wire, they become equipotential. Therefore, the potential of each sphere will be the same, i.e., v.
Using the formula for potential:
V = kQ/r
where V is the potential, k is Coulomb's constant, Q is the charge on the sphere, and r is the radius of the sphere.
For sphere 1:
V = kQ1/r1
Q1 = Vr1/k
For sphere 2:
V = kQ2/r2
Q2 = Vr2/k
Since the spheres have equal charges, Q1 = Q2.
Therefore, Vr1/k = Vr2/k
r1/r2 = V/V
Since the radii are known, the ratio of charges can be found.
Q1/Q2 = (r1/r2)^2
Now, the problem can be solved by substituting the given values of r1, r2, and V.
Answer:
The initial charge on both spheres was Q1 = Q2 = Vr/k, where r is the radius of the spheres and k is Coulomb's constant.
Community Answer
Two sphers of radii r1 and r2 having equal charges afe joined together...
V=K(Q1 + Q2) ÷ (R1 + R2)
Q1= Q2
V = 2KQ ÷ (R1 + R2)
Q = V (R1 + R2) ÷ 2K
Q1= Q2
V = 2KQ ÷ (R1 + R2)
Q = V (R1 + R2) ÷ 2K
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Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was?
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Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was?.
Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sphers of radii r1 and r2 having equal charges afe joined together with a copper wire . If v is the potential of each sphere after they are seprated from each other then the initial charg on both sphere was?.
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