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F our e l ec t r i c c h a r g e s a r e a rr a ng e d a s s ho w n. E ac h c h a r ge i s p l ace d a d i s t a n c e d = 3 . 0 c m fr om t he o r i g i n, a nd t he v a l u e s of t he c h a r g e s a r e q 1 = 1 . 5 µ C , q 2 = 3 . 0 µ C , q 3 = 4 . 5 µ C , a nd q 4 = 6 . 0 µ C . ( a ) De t e r mi ne t he m a gn it ude o f t he e l ec t r i c f i e l d E a t t he o r i g i n . ( b) De t e r mi ne t he d i r ec ti on of t he e l ec t r i c f i e l d E a t t he o r i g i n. E xp r e s s your a n s we r a s a n a ng l e θ, m ea s u r e d c oun t e r c l o c k w i s e fr om t he + x d i r ec ti o n . N ow a n e l ec t r on of m a s s m = 9 . 11 × 10 - 3 1 kg a nd c h a r ge q = − 1 . 60 × 10 - 1 9 C i s p l ace d a t t he o r i g i n a nd r e l ea s e d fr om r e s t . ( c ) C a l c u l a t e t he m a gn it ude t he i n i t i a l acce l e r a ti on of t he e l ec t r o n . ( d) De t e r mi ne t he d i r ec ti on of t he i n i ti a l acce l e r a t i on of t he e l ec t r on.


 

 

 
Four electric charges are arranged as shown. Each charge is placed a distance d = 3.0 cm from the origin, and the values of the charges are q1 = 1.5 µC, q2 = 3.0 µC, q3 = 4.5 µC, and

q4  = 6.0 µC.

 

(a) Determine the magnitude of the electric field E at the origin.

 

(b) Determine the direction of the electric field E at the origin. Express your answer as an angle θ, measured counterclockwise from the +x direction.


 

Now an electron of mass m = 9.11×10-31 kg and charge q = 1.60 ×10-19 C is placed at the origin and released from rest.

(c) Calculate the magnitude the initial acceleration of the electron.

 

(d) Determine the direction of the initial acceleration of the electron.


Grade:upto college level

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