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Assum that an electric field vecE = 30 x...

Assum that an electric field `vecE = 30 x^(2) hati `exists in space. Then the potential difference `V_(A) - V_(0)`, where `V_(0)` the potential at the origin and `V_(A)` the potential at x = 2 m is :

A

`-80 ` J

B

80 J

C

120 J

D

`-120` J

Text Solution

Verified by Experts

dV = `-vecE . vecdV`
`:. Int_(V_(0))^(V_(A))dV = - int_(0)^(2) 30 x^(2) dx `
`=-[(30x^(3))/(3)]_(0)^(2)=-[(30xx8)/(3)]`
`:. V_(A)-V_(0)=- 80 `
`:. V_(A)-0 =-80 J`
`:. V_(A)=- 80 J`
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