Figure (a) shows a uniformly charged ring of radius r. Its axis is along the $$x-axis$$ and the ring is in the yz plane. Point P can be anywhere on the $$x-axis$$ and in the xy plane. Figure (b) shows a uniformly charged disk of radius r. Its axis is along the $$x-axis$$ and the disk is in the yz plane. Point P can be anywhere on the $$x-axis$$ and in the xy plane. Figure (c) shows an infinite line charged uniformly placed along $$y-axis$$. P is a point on $$x-axis$$ and P' in the xy plane. Ex, Ey and Ez are the components of electric field along x−,y−, and z−axis and EP and EP' are net electric fields at P and P', respectively. Now match the following columns.

Question

Figure (a) shows a uniformly charged ring of radius r. Its axis is along the $$x-axis$$ and the ring is in the yz plane. Point P can be anywhere on the $$x-axis$$ and  in the xy plane. Figure (b) shows a uniformly charged disk of radius r. Its axis is along the $$x-axis$$ and the disk is in the yz plane. Point P can be anywhere on the $$x-axis$$ and  in the xy plane.  Figure (c) shows an infinite line charged uniformly placed along $$y-axis$$. P is a point on $$x-axis$$ and P' in the xy plane.  Ex,  Ey  and  Ez are the components of electric field along  x−,y−,  and  z−axis and EP  and  EP' are net electric fields at  P  and  P', respectively. Now match the following columns.

Infinity Learn · Accepted Answer

In this case, electric field is totally zero because in (a) and (b) particle P can be at origin. For points P,  P' in Fig. (c), electric field will be along $$x-axis$$ only. Also, for point P in Figs. (a) and (b), Ex will remain nonzero while other two components of electric field will be zero. iii.​​→b. Only in the case of disk xy components of electric field will be present as per given statements.iv​​→a,c. For the two points P  and  P'  in Fig. (c), the field will be same as these points are at equal distances from infinite line of charge.

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