An isolated conducting sphere has a 22 cm radius. One wire carries a current of

Question

An isolated conducting sphere has a 22 cm radius. One wire carries a current of 2.000 003 0 A into it. Another wire carries a current of 2.000 000 0 A out of it. Determine how long it would take for the sphere to increase in potential by 1200 V.

These are my teachers requirements if you could please follow them I would really appreciate it thank you :)

In addition to being neat and clear, and actually answering the question, you must:

1) show the original principle (often in equation form)

2) substitute variables as needed

3) solve it first (before substituting numbers)

4) show every substitution (with units and correct sig figs)

5) present a boxed answer (with units and correct sig figs)

In a Force problem in more than one dimension, you MUST start with a Free Body Diagram.

Explanation / Answer

GIVEN DATA: radius=22cm=22*10^-2m, One wire carries a current of 2.000 003 0 A,

Another wire carries a current of 2.000 000 0 A, potential =1200 V

how long it would take for the sphere to increase in potential by 1200 V=?

FORMULA : V=kq/r

and q=It

V=kIt/r

t=Vr/kI=(1200)*(0.22)/(9*10^9)*(2.000003-2.000000)

t=((1200)*(0.22))/((9*10^9)*(3*10^-6))=0.0097s

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