InterviewSolution
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InterviewSolution
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A bollow cylindrical box of length 1m and area of cross section `25 cm^(2)` is placed in a three dimensional co-ordinate system as shown in Fig, The electric field in the region is given by `vec(E) = 50 x hat(i)` , where E is in `NC^(-1)` and x is in meter. Find (i) Net flux through the cylinder (ii) Charge enclosed by the cylinder. |
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Answer» Here, `vec(ds) = 25 cm^(2)` `= 25xx10^(-4) m^(2)`, along X-axis `vec(E) = 50xx hat(i), phi = ?, q = ?` On the left end of the cylinder, `vec(E_(1)) = 50xx1 NC^(-1)` along X-axis `:. Phi_(1) = E_(1) ds cos 180^(@) = 50xx25xx10^(-4) (-1)` `= -0.125 NC^(-1) m^(2)` On the right end of the cylinder, ` vec(E_(2)) = 50xx2 = 100 NC^(-1)` along X-axis `:. phi_(2) = E_(2) = ds cos 0^(@) = 180xx25xx10^(-4) (1)` `=0.250 NC^(-1) m^(2)`. Net flux through the cyclinder `phi = phi_(1) + phi_(2) = 0.125 + 0.250` `= 0.125NC^(-1) m^(2)` `q = in_(0) phi = 8.85xx10^(-12) xx 0.125` `= 1.106xx10^(-12) C` |
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