The electric field in a region is given by E → = A x + B   i ^   , where E is in N C - 1 and…

The electric field in a region is given by E=Ax+B i^ , where E is in NC-1 and x is in metres. The values of constants are A=20 SI unit and B=10 SI unit. If the potential at x=1 is V1 and that at x=-5 is V2, then V1-V2 is
  1. 320 V
  2. -520 V
  3. 180 V
  4. -48 V

Solution

V1-V2=-E.dx
=--51ax+b dx
=-ax22+bx-51
= -a2+b-a×252-5b
= -202+10-250+50
=180 V

Asked in: JEE Main 2019 (08 Apr Shift 2)

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