The electric potential immediately outside a charged conducting sphere is 230 V,
ID: 2235659 • Letter: T
Question
The electric potential immediately outside a charged conducting sphere is 230 V, and 10.0 cm farther from the center of the sphere the potential is 110 V. (a) Determine the radius of the sphere. _____________ cm (b) Determine the charge on the sphere. ___________nC The electric potential immediately outside another charged conducting sphere is 260 V, and 10.0 cm farther from the center the magnitude of the electric field is 380 V/m. (c) Determine all possible values for the radius of the sphere. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) r1 = cm r2 = cm (d) Determine the charge on the sphere for each value of r. (If only one value exists, enter "NONE" in the second answer blank.) q1 = nC q2 = nCExplanation / Answer
If the radius is r metres, then going from r to (r + 0.1) causes V to drop from 220V to 130V.
220 = kq/r
130 = kq/(r+0.1)
Dividing gives:
220/130 = (r+0.1)/r
1.692 = 1 + 0.1/r
0.1/r= 0.692
r= 0.1/0.692=0.144m
q = 220r/k = 220 x 0.144 /9x10^9 = 3.52x10^-9 C cheers....:)
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