homework_06_spheres_v
A solid metal sphere of radius [a = 2.5 cm] has a net charge [Q_{in} = - 3.0 n C. The sphere is surrounded by a concentric conducting spherical shell of inner radius [b = 6.0 cm] and outer radius [c = 9.0 cm]. The shell has a net charge [Q_{out} = [+ 2.0 nC]. What is [V_0], the electric potential at the center of the metal sphere, given the potential at infinity is zero?
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Given
- [\vec E( r) = -\frac{ d v}{ d r} \hat r ]
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Hints
- [V = kQ/r] cannot be used directly here. We need to start with an expression for [V] which is always true.
- Despite the spherical symmetery, since we are interested in the potential inside the charge distribution, we cannot use [V = k \frac{ Q}{ r}.
- [V = kQ/r] cannot be used directly here. We need to start with an expression for [V] which is always true.
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[V_0 =]