ElectrostaticsHard
Question
Uniform electric field of magnitude 100 V/m in space is directed along the ling y = 3 + x. Find the potential difference between point A (3, 1) & B(1, 3)
Options
A.100 V
B.200√2V
C.200 V
D.0
Solution
Slope from x axis
y = 3 + x ; tanθ = 1 ⇒ θ = 45o
∴ Electric field in vector from
= 100
∴ V = -
V =
= 50√2 [-2 + 2] = 0
Alternate solution : The direction of electric field and the slope of line A (3, 1) & (1, 3) is ⊥ to each others so the dot product
becomes zero.
y = 3 + x ; tanθ = 1 ⇒ θ = 45o
∴ Electric field in vector from
= 100∴ V = -
V =
= 50√2 [-2 + 2] = 0Alternate solution : The direction of electric field and the slope of line A (3, 1) & (1, 3) is ⊥ to each others so the dot product
becomes zero.Create a free account to view solution
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