An electric field is given by E → = y i ^ + x j ^ N C - 1 . The work done in moving a 1 C charge from r A → = 2 i ^ + 2 j ^ m to r B → = 4 i ^ + j ^ m is

Question

An electric field is given by E → = y i ^ + x j ^ N C - 1 . The work done in moving a 1 C charge from r A → = 2 i ^ + 2 j ^ m to r B → = 4 i ^ + j ^ m is, + 4 J, – 4 J, + 8 J, Zero

MARKS App · Accepted Answer

A = ( 2 , 2 ) and B = ( 4 , 1 ) Now W A ⟶ B = q V B - V A ... (1) ∫ A B d V = - ∫ A B E → · d → r or V B - V A = - ∫ 2 2 4 1 y i ^ + x j ^ · d x i ^ + d y j ^ + d z k ^ or V B - V A = - ∫ 2 2 4 1 y d x + x d y = - ∫ 2 2 4 1 d xy = - xy 2,2 4,1 = 0 ∴ W A → B = 0 [from Eq. (1)]

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