Equipotential surfaces; finding the radius

AI Thread Summary
To determine the equipotential surfaces for a charged metal sphere, the potential at the surface is calculated using the formula V = kQ/r, resulting in a potential of approximately 1.4 kV at the sphere's surface. The equipotential surfaces are then spaced 100 V apart, requiring the calculation of radii for the first, tenth, and hundredth equipotential surfaces. The radius for each equipotential surface is derived from the potential difference, leading to the equations r = kQ/V for the respective voltages. The initial calculations provided were incorrect due to misinterpretation of the problem's requirements. Accurate values for the equipotential surfaces can be determined by correctly applying the voltage intervals.
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Homework Statement



a metal sphere of radius 0.39 m carries a charge 0.55 μC. Equipotential surfaces are to be drawn for 100-V intervals outside of the sphere.

Determine the radius of the first, tenth and 100th equipotential from the surface.


Homework Equations



V = kQ / r
Volt = (Coulombs Constant * Charge) / radius

The Attempt at a Solution



r = ((9.0X10^9 Nm²/C²)(.55X10^-6 C))/ (1 Nm/C)

r = ((9.0X10^9 Nm²/C²)(.55X10^-6 C))/ (10 Nm/C)

r = ((9.0X10^9 Nm²/C²)(.55X10^-6 C))/ (100 Nm/C)

all units cancel out and I'm left with meters but I'm getting the incorrect values according to the homework system that I'm using
 
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Read the problem more carefully. The equipotential surfaces are 100 V apart.

What is the potential of the sphere itself? Start there.
 
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