Q.

The electric field in a region is given by E=(Ax+B)i^, where E is in NC1 and x is in metres. The value 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 V1V2 is

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answer is 180.

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Detailed Solution

Given E¯=(Ax+B)i^ Or E=20x+10 Using V=Edx, we have

V2V1=51(20x+10)dx=180V or V1V2=180V

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