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An electric field is uniform and in the positive x direction for positive x and uniform with the same magnitude but in the negative x direction for negative x. It is given that E=200 hat(i) N//C for x gt 0 and E=-200 hat(i) N//C for x lt 0. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at x=+10 cm and the other is at x=-10 cm What is the net outward flux through each flat face? |
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Answer» SOLUTION :(a) we cansee from thethat on the leftfaceE and `triangle S`are parallel therefore the outward fluxis (b) for any pointon the SIDE of the cylinder E is perpwendicular to `triangle S` and hence E `triangleS=0`thereforethe fluxout of the side OFTHE cylinder is zero (c ) net outward flux throughthe cylinder `Phi =1.57 +1.57 +0=3.14 N m^(2) c^(-1)`  (d) the netcharge within the cylinder can be foundby using gauss.slaw which gives `q=epsilon_(0) Phi` `=2.78 xx10^(-11) c` |
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