In a uniform electric field, the potential is 10V at the origin of coordinates; and 8V at each points (1,0,0); (0,1,0) and (0,0,1). The potential at point (1,1,1) will be..

(a) 0

(b) 4V

(c) 8V

(d) 10V

Dear Vats,

Ans:- The field is uniform. Hence ðv/ðr=constant=p(let)

Hence v=V°+p(i+j+k)

Now at origin v=V°=10volt

Also at the 3 points the value of the voltage are 8volt each. Hence p= -2

At (1,1,1) The voltage is=10 -2(1+1+1)

                                 =4 volt(ans)

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