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Question
In a certain region of space,electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105NC−1m−1. The force experienced by the system having a total dipole moment equal to 10−7C m in the negative z-direction is
In a certain region of space,electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105NC−1m−1. The force experienced by the system having a total dipole moment equal to 10−7C m in the negative z-direction is
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Solution
The correct option is A −10−2N
Consider an electric dipole dipole with −q charge at A and +q charge at B, placed along z-axis, that its dipole moment is in negative z directioni.e, pz=−10−7CmThe electric field is along positive direction of z-axis, such thatdEdz=105NC−1m−1From F=qdE=(q×dz)×dEdz=pdEdz∴F=−10−7×105=−10−2N
Consider an electric dipole dipole with −q charge at A and +q charge at B, placed along z-axis, that its dipole moment is in negative z direction
i.e, pz=−10−7Cm
The electric field is along positive direction of z-axis, such that
dEdz=105NC−1m−1
From F=qdE=(q×dz)×dEdz=pdEdz
∴F=−10−7×105=−10−2N
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