Ferbs207
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1. Homework Statement
How much work does it take to construct a conducting sphere of radius 'a' and charge '+q' by pulling charges ('dq') from an infinite distance? Then construct another conducting sphere of radius 'b' and charge '-q' around the sphere of radius 'a'. Given 'a'<'b'.
2. Homework Equations
F=ke(q_1)(q_2)/r^2
E=ke(integral(dq/r^2)
U=integral(F)=1/q(integral(E))
W=delta(U)
3. The Attempt at a Solution
If the charges are initially infinitely far, then the initial potential energy is 0. This means that all I need to do is calculate the potential energy of the sphere at radius 'a', which will be my value for work. Let's say the potential energy at radius 'a' is U_a.
It's the second part of the question that I find difficult. How do I account for the interactions between the two conducting sphere when constructing the second one around it?
How much work does it take to construct a conducting sphere of radius 'a' and charge '+q' by pulling charges ('dq') from an infinite distance? Then construct another conducting sphere of radius 'b' and charge '-q' around the sphere of radius 'a'. Given 'a'<'b'.
2. Homework Equations
F=ke(q_1)(q_2)/r^2
E=ke(integral(dq/r^2)
U=integral(F)=1/q(integral(E))
W=delta(U)
3. The Attempt at a Solution
If the charges are initially infinitely far, then the initial potential energy is 0. This means that all I need to do is calculate the potential energy of the sphere at radius 'a', which will be my value for work. Let's say the potential energy at radius 'a' is U_a.
It's the second part of the question that I find difficult. How do I account for the interactions between the two conducting sphere when constructing the second one around it?
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