Q76 / 90 · JEE Main 2019 (08 Apr Shift 2) · Physics

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

  • A
    320 V
  • B
    -520 V
  • Correct answer
    C
    180 V
  • D
    -48 V

Solution

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

Hence, the correct answer is option: 'C'.

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