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An electric field of 20 N//C exists alon...

An electric field of `20 N//C` exists along the x-axis in space. Calculate the potential difference `V_B - V_A` where the points A and B are given by
a. `A=(0,0), B=(4m, 2m)`
b. `A=(4m,2m),B=(6m,5m)`

Text Solution

Verified by Experts

Electric field in x-axis mean `vec(E) = 20 hat(i)`

(a) `= vec(E).vec(d) = 20 hat(i).4 hat(i) = 80 V`
`rArr V_(B) - V_(A) = - 80 V`
(b) `|Delta V_(BC)| = vec(E).vec(d) = 20 hat(i).2hat(i) = 40` volt
`rArr V_(C ) - V_(B) = - 40 V`
(c ) `|Delta V_(AC)| = vec(E).vec(d) = 20 hat(i).6 hat(i) = 120` volt
`rArr V_(C ) - V_(A) = -120 V`
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