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In a certain rigion of space, electric field is along the z-direction throughout. The magnitude of electric field is , however, not constant but increases uniformalyalong the positive z-direction, atthe rate of10 ^(5) NC^(-1)per metre, What are the force and torque experienced by a system having a total dopole moment equal to 10^(-7)C-m in the negative z-direction? |
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Answer» Solution :Here RATE of INCREASE of ELECTRIC fieldalong positivez-direction ` (dE)/( dz)=10 NC^(-1) m^(-1)` and dipolemoment of system along z-direction`p=-10^(-7)C-m ` (because it is along negative z-direction) ` therefore ` Net force acting on the dipole of `F=p .(dE)/( dz)=(-10 ^(-7) ).(10^(5) )=-10^(-2)N ` ` "" 10 ^(-2) `N along negativez-direction As `oversetto E and overset to p`both are along z-axis , hencetorque `|oversetto tau |=|oversetto p xx oversetto E| =pE sin0^(@)=0` |
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