Recent content by Jonathan K

This is how I arrived at my original idea, just wasn't sure if was applicable to integration.

can you offer a proof?

Lets look at the force on a wire segment in a uniform magnetic field F = I∫(dl×B) I am curious if, from this, we can say: F = I [ (∫dl) × B] since B is constant in magnitude and direction

Homework Statement Find the potential outside a charged metal sphere (charge Q, radius R) placed in an otherwise uniform electric field E0. Explain clearly where you are setting the zero of potential. 2. The attempt at a solution So for this problem I figured I could exploit superposition and...

Ahh I get it now, the field energy in the space between the inner and outer surfaces is the only difference in energy from the before and after situations. Thanks for your help!

I did take into account the sign difference; I found that the potential on the inner surface and charge density were both negative so the negative canceled when evaluating the integral. I'm a bit confused by why you would integrate the field squared between a and b since that is space filled by...

For the inner surface I got q2/8πε0a and the outer q2/8πε0b. As for your calculation, wouldn't the total energy after be just zero since the charge is infinitely far away from a neutral shell? I wasn't entirely sure how to use the first integral since we have two different electric fields: one...

Homework Statement A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. How much work would it take to move the point charge out to infinity (through a tiny hole drilled in the shell)? [answer: q2/8πε0)(1/a - 1/b) Homework...

The problems states: An inverted hemispherical bowl of radius R carries a uniform surface charge density σ. Find the potential difference between the north pole and the center. I was able to do the problem and got the correct answer the book gives, which is (Rσ/2ε0)(√2 - 1). My professor...