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The electric field in a certain region i...

The electric field in a certain region is given by `E=5 hat(i)-3hat(j) kv//m`. The potential difference `V_(B)-V_(A)` between points a and B having coordinates (4, 0, 3) m and (10, 3, 0) m respectively, is equal to

A

21 kV

B

`-21 kV`

C

39 kV

D

`-39 ` kV

Text Solution

Verified by Experts

The correct Answer is:
B
`E=5hati-3hatjkV//m`
`V_B-V_A=-int_(r_(A))^(r_(B))vecE.vecdx=-int_(((4,0,3)))^(((10,3,0)))(5hati-3hatj).(dxhati+dyhati+dzhatk)`
`=-int_4^(10)5dx-int_0^3(-3)dy`
`= 5(10 - 4) + 3(3 - 0) = -30 + 9 = -21 KV.`
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