This is a problem on electric current

AI Thread Summary
To determine how long it takes for an isolated conducting sphere with a 10 cm radius to increase its potential by 1200 V, the net inward current must be calculated from the difference between the incoming and outgoing currents. The equation V_R = q / (4 π ε_0 R^2) is used to find the charge q stored at 1200 V. After calculating the net current, the time required to transfer this charge can be derived using the relationship i = dq/dt. The discussion emphasizes the importance of understanding current flow and charge accumulation in relation to potential increase. This approach provides a clear method for solving the problem.
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Homework Statement



An isolated conducting sphere has a 10 cm radius. One wire carries a current of 1.000 002 0 A into it. Another wire carries a current of 1.000 000 0 A out of it. How long would it take for the sphere to increase in potential by 1200 V?

Homework Equations



n/a

The Attempt at a Solution


tried using i= dq/dt
 
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You'll need to rearrange the following equation to find how much charge, q, the sphere will store when its surface potential is at 1,200 V.

V_R=\frac{q}{4 \pi \epsilon_0 R^2}

You know the magnitudes of the inward- and outward-flowing currents, therefore you can calculate the net inward-flowing current. All you need to do next is work out how long it takes for this current to transfer charge q.
 
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