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1. Two identical flat plate capacitors are inserted in each other. First, none of the plates was charged, but then they have been connected to sources of current, keeping the constant voltage ## V_1 ## and ##V_2 ##. Find the potential difference between inner plates, which are kept at the distance a one to another. The distance between the capacitor plates is d.
2. ## gradφ=E ##
## E=\frac σ ε_0 ##
##∫Edl=0## (over a closed loop)
3. I tried to solve this problem in many ways. For instance, I tried writing the electric field intensity E and making use of the circulation theorem, supposing that the plates are mutually inducing the same surface charge distribution σ, but I got a weird result. I tried to write the potential of each plate as electric field intensity multiplied by the distance between the plates, but I did not get a satisfying result. I am clueless what to do next and I don't know what is wrong in my approach.
2. ## gradφ=E ##
## E=\frac σ ε_0 ##
##∫Edl=0## (over a closed loop)
3. I tried to solve this problem in many ways. For instance, I tried writing the electric field intensity E and making use of the circulation theorem, supposing that the plates are mutually inducing the same surface charge distribution σ, but I got a weird result. I tried to write the potential of each plate as electric field intensity multiplied by the distance between the plates, but I did not get a satisfying result. I am clueless what to do next and I don't know what is wrong in my approach.
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