A cube of side 20 cm is kept in a region as shown in the figure. An electric field vecE exists in the region such that the potential at a point is given by V=10x+5, where V is in volt and x is in m. Find the (i) electric field vecE, and (ii) total electric flux through the cube.

A cube of side 20 cm is kept in a region as shown in the figure. An el

1.	A cube of side 20 cm is kept in a region as shown in the figure. An electric field vecE exists in the region such that the potential at a point is given by V=10x+5, where V is in volt and x is in m. Find the (i) electric field vecE, and (ii) total electric flux through the cube.
Answer» Solution :(i) Here potential `V=10x+5` `therefore ` ELECTRIC field `VECE= -(dV)/(dr)= -(delV)/(DEL x) hati-(delV)/(del y) hatj-(delV)/(del z)hatk=-10hatiVm^(-1)` (II) As `vecE` is directed along x-axis and is constant at all points, so we shall have flux associated with two opposite faces of cube in y-z plane. HOWEVER, flux with each of the two faces is equal but at one face it is outgoing and at the other it is incoming one. Hence, net flux `phi_(B)=0`.

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A cube of side 20 cm is kept in a region as shown in the figure. An electric field vecE exists in the region such that the potential at a point is given by V=10x+5, where V is in volt and x is in m. Find the (i) electric field vecE, and (ii) total electric flux through the cube.

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