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In Region of Electric field Given by vec...

In Region of Electric field Given by `vec(E)=(Ax-B)hat(I)`. Where `A=20` unit and `B=10` unit. If Electric potential at `x=1m` is `v_(1)` and at `x=-5m` is `v_(2)`. Then `v_(1)-v_(2)` is equal to

A

` - 520 V `

B

` 320 V `

C

` - 48 V `

D

` 180 V `

Text Solution

Verified by Experts

` E = A x + B `
` dV = - E dx `
` int _ (V _ 1 ) ^ ( V _ 2 ) dV = - int _ 1 ^ ( -5 ) ( 20 x + 10 ) dx `
` V_ 2 - V _ 1 = - 180 `
`V _ 1 - V _ 2 = 180 V `
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