Apply gausses theorem to find electric field intensity due to infinite long conductor
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We can calculate the electric field at point outside a infinitely long cylindrical conductor using integration.
The electric field at P has two components ie sinsin and coscos.
The sinsin components cancel out due to symmetry (for every infinitesimal charge above P there is an identical one below it).
Since we need to integrate along the infinitely long cylindrical charge, the limits of integration will be −∞−∞ to +∞+∞ or in terms of angles −π2−π2 to +π2+π2.
The electric field at P has two components ie sinsin and coscos.
The sinsin components cancel out due to symmetry (for every infinitesimal charge above P there is an identical one below it).
Since we need to integrate along the infinitely long cylindrical charge, the limits of integration will be −∞−∞ to +∞+∞ or in terms of angles −π2−π2 to +π2+π2.
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