A rod 12.0 cm long is uniformly charged and has a total charge of -23.0 Solution

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Explanation / Answer

-------->Charge on it = - 23.0 x 10^-6 dx / (0.12) C. --------->Electric field at the point 30 cm from the center due to the charge on length dx of the rod -------->dE = [- 23.0 x 10^-6 / (0.12)] x 9 x 10^9 / (0.30 - x)^2 dx --------->Integrating between the limits, x = 0.06 m to x = 0.06 m, --------->E = ? - [23.0 x 10^-6 / (0.12)] x 9 x 10^9 / (0.30 - x)^2 dx ... [x = - 0.06 to x = 0.06] --------->= (1.575) x 10^6 ? dx / (0.30 - x)^2 ... [x = - 0.06 to x = 0.06] -------->= (1.575) x 10^6 * [1/(0.30 - x)] ... [x = - 0.06 to x = 0.06] --------->= (1.575) x 10^6 * [1/(0.24) - 1/(0.36)] N/C ---------->= 2.27 x 10^6 N/C. ------------>The direction of the electric field is towards the rod along its length.

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