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Electric Field Lines Electric field lines from a point positive charge point outward. + Electric field lines from a point negative charge point inward. In addition: Closer to the charge where the field is higher, there is a higher density of lines. Lines do not cross. 1 Electric Field Lines: Questions Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. In addition: Where the field is higher, there is a higher density of lines. Lines do not cross. + Where in this diagram is the field highest ? Closer to the charge or farther from it ? 2 Electric Field Lines: Questions Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. In addition: Where the field is higher, there is a higher density of lines. Lines do not cross. C B A Where in this diagram is the field highest ? Which direction would a positive test charge move? Which direction would a negative test charge move? Use points A, B and C as your comparison points. 3 Electric Field Lines: A Dipole Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. In addition: Closer to the charge where the field is higher, there is a higher density of lines. Lines do not cross. - + In class: join the lines.... 4 Electric Field Lines: Two Positive Charges Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. In addition: Closer to the charge where the field is higher, there is a higher density of lines. Lines do not cross. + + In class: you cannot join the lines as the come out of both charges 5 Electric Field Lines: A Dipole Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. In which direction does a positive charged placed at A,B,C,D,E move? In which direction does a negative charged placed at A,B,C,D,E move? A D - B C + E In class: join the lines.... 6 Uniform Electric Fields: Motion of a charge particle The force on a charged particle q in a uniform electric field E Fe =q E But Newton's Law tells us how a particle with mass m moves under the influence of an external force (whatever the force is, so it applies to electric forces too) =m Fe =q E a So: qE a = m 7 Electric Field Lines: Questions Electric field lines from a point positive charge point outward. Electric field lines from a point negative charge point inward. q E + In which direction will the charge move? 8 Uniform Electric Fields: Motion of a charge particle qE i a =a i= m We chose our field along the positive x direction. We can apply all the kinematics we have learnt. x E q + 1 2 x f = x iv i t a t 2 and v f =v ia t and v f 2=v i22 a x f x i 9 Uniform Electric Fields: Motion of a charge particle Lets assume the particle starts at rest, And the final position v i=0 and at x i=0 x f= x x q E + qE x v f =2 a x f =2 m 2 and the kinetic energy 1 2 K = m v f =qE x 2 10