Suppose a mass m is moving along a straight line with some initial velocity u. It is uniformly accelerated to velocity v in the time t by the application of non zero force F. The correct relationship between F,u,v and t can be.
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Where F is the force vector, q is the charge, and E is the electric field vector. Note that the direction of F is identical to E in the case of a positivist charge q, and in the opposite direction in the case of a negatively charged particle. This electric field may be established by a larger charge, Q, acting on the smaller charge q over a distance r so that:
E=∣∣Fq∣∣=k∣∣qQqr2∣∣=k|Q|r2E=|Fq|=k|qQqr2|=k|Q|r2
It should be emphasized that the electric force F acts parallel to the electric field E. The curl of the electric force is zero, i.e.:
▽×E=0▽×E=0
A consequence of this is that the electric field may do work and a charge in a pure electric field will follow the tangent of an electric field line.
E=∣∣Fq∣∣=k∣∣qQqr2∣∣=k|Q|r2E=|Fq|=k|qQqr2|=k|Q|r2
It should be emphasized that the electric force F acts parallel to the electric field E. The curl of the electric force is zero, i.e.:
▽×E=0▽×E=0
A consequence of this is that the electric field may do work and a charge in a pure electric field will follow the tangent of an electric field line.
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