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An electric field is uniform and in the positivex direction for postivex and uniform with the same magnitude but in the negative x direction xit is given that E=200 I N/Clength 20 cm and radius 5 cmhasits centre at the origin and its axis x =-10 cm(a) what is the net ioutward flux througheachflate face (b) what is the flux through the side of the cylinder (C ) what is the net outward flux thoght the cylinder (d) what is the net chargeinside the cylinder |
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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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