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As shown in the figure a square having length a has electric charge distribution of surface charge density sigma =sigma_(0)xy. The total electric charge on the square will be......(The cartesian coordinate system is shown in figure.) |
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Answer» Solution :Consider an element of area dxdy at a POINT [x, y) as shown in the figure. The charge on the area element is: `DQ = sigma_(0).xy dx.dy` `therefore` Therefore, TOTAL ELECTRIC charge on the surface. `Q = sigma_(0)int_(0)^(a)x.dx.int_(0)^(a)ydy` `=sigma_(0)[x^(2)/2]_(0)^(a).[y^(2)/2]_(0)^(a)` `therefore =(sigma_(0)a^(4))/4` |
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