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Determine the potentail `varphi(x,y,z)` of an electrostatic field `E = ayl + (ax + bz) J + byk`, where `a` and `b` are constants, `I, j, k `are the unit vectors of the axes `x,y,z`. |
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Answer» Given, again `-d varphi = vec(E) . vec(dr) = (ay vec(i) + (ax + bz) vec(j) + by vec(k)). (dx vec(i) + dy vec(j) + dx vec(k))` `= a(y dx + ax dy) + b(z by + y dz) = ad (xy) + bd(yz)` On intergating `varphi = -(a xy + b yz) + C` |
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