A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.9 μC. A second uncharged conducting sphere of radius r2 = 0.46 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. Randomized Variables r1 = 0.18 m r2 = 0.46 m Q = 1.9 μC What is the total charge on sphere two, Q2 in coulombs?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter23: Electric Forces
Section: Chapter Questions
Problem 6PQ: A sphere has a net charge of 8.05 nC, and a negatively charged rod has a charge of 6.03 nC. The...
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A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.9 μC. A second uncharged conducting sphere of radius r2 = 0.46 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size.

Randomized Variables

r1 = 0.18 m
r2 = 0.46 m
Q = 1.9 μC

What is the total charge on sphere two, Q2 in coulombs? 

 

Expert Solution
Step 1

The data given in the question is:

1. Radius of first sphere, r1=0.18 m

2. Radius of second sphere, r2=0.46 m

3. Charge on sphere 1, Q1=1.9 ×10-6 C

The thin conducting wire that connects the charged sphere with uncharged sphere redistributes the charge such that the charge flows from first sphere (charged) to the second sphere (uncharged), such that the electric potentials become equal.

The formula used to calculate electric potential is as follows:

V=14πε0qr ..........(1)

where,

q, is the charge

r, is the distance between test and source charge (here, radius)

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