ElPimiento
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1. Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius
R = 0.100 m to a total charge of Q = 125 μC.2. V = k_e\int{\frac{dq}{r}}\triangle V = - \int{E \cdot ds}W = q\triangle V3. I started with assuming the spherical shell produces an electric field equal to that of a point charge, so
E = k_e \frac{q}{r^2}
V = k_e \frac{q}{r} (since they're coming from infinity the initial potential is 0)
But once I get to this point I don't know where to go, I tried sort of just using the fundamental charge for q in
W = q\triangle V
to no success. I also tried a similar method to the aforementioned, where I started by assuming each infinitesimal bit of work could be given by:
dW = k_e \frac {e}{r} dq
But I don't know how to evaluate this as an integral.
So how should I set up this problem?
R = 0.100 m to a total charge of Q = 125 μC.2. V = k_e\int{\frac{dq}{r}}\triangle V = - \int{E \cdot ds}W = q\triangle V3. I started with assuming the spherical shell produces an electric field equal to that of a point charge, so
E = k_e \frac{q}{r^2}
V = k_e \frac{q}{r} (since they're coming from infinity the initial potential is 0)
But once I get to this point I don't know where to go, I tried sort of just using the fundamental charge for q in
W = q\triangle V
to no success. I also tried a similar method to the aforementioned, where I started by assuming each infinitesimal bit of work could be given by:
dW = k_e \frac {e}{r} dq
But I don't know how to evaluate this as an integral.
So how should I set up this problem?