(B) Apply the distance formula to determine R, and R2. (C) Apply trig to find the reference angles for each electric field vector.

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Superposition of Electric Fields

Chapter 3 - Superposition of Electric Fields
9. A monkey-shaped earring with a charge of 6.0 µC lies at the point (0, 2.0 m). A banana-
shaped earring with a charge of -6.0 µC lies at the point (0, –2.0 m). Your goal is to find
the magnitude of the net electric field at the point (2.0 m, 0).
(0, 2.0 m)
+6.0 µC
(2.0 m, 0)
*-x
-6.0 µC
(0, –2.0 m)
(A) Sketch the electric field vectors created by the two charges at the point (2.0 m, 0).
Label E, E2, 01, and 62. Label the angles counterclockwise from the +x-axis.
(B) Apply the distance formula to determine R, and R2.
(C) Apply trig to find the reference angles for each electric field vector.
(D) Use your answers to part (C) and part (A) to determine 0, and 02 counterclockwise
from the +x-axis. Be sure that their Quadrants match your sketch from part (A).
(E) Determine the magnitudes (E, and E2) of the two electric field vectors.
Transcribed Image Text:Chapter 3 - Superposition of Electric Fields 9. A monkey-shaped earring with a charge of 6.0 µC lies at the point (0, 2.0 m). A banana- shaped earring with a charge of -6.0 µC lies at the point (0, –2.0 m). Your goal is to find the magnitude of the net electric field at the point (2.0 m, 0). (0, 2.0 m) +6.0 µC (2.0 m, 0) *-x -6.0 µC (0, –2.0 m) (A) Sketch the electric field vectors created by the two charges at the point (2.0 m, 0). Label E, E2, 01, and 62. Label the angles counterclockwise from the +x-axis. (B) Apply the distance formula to determine R, and R2. (C) Apply trig to find the reference angles for each electric field vector. (D) Use your answers to part (C) and part (A) to determine 0, and 02 counterclockwise from the +x-axis. Be sure that their Quadrants match your sketch from part (A). (E) Determine the magnitudes (E, and E2) of the two electric field vectors.
(F) Determine the components (E1x, E1y, E2x, and E2y) of the electric field vectors.
(G) Determine the components (E, and E,) of the resultant vector.
(H) Determine the magnitude (E) of the net electric field at the point (2.0 m, 0).
(1) Determine the direction (OE) of the net electric field at the point (2.0 m, 0).
Transcribed Image Text:(F) Determine the components (E1x, E1y, E2x, and E2y) of the electric field vectors. (G) Determine the components (E, and E,) of the resultant vector. (H) Determine the magnitude (E) of the net electric field at the point (2.0 m, 0). (1) Determine the direction (OE) of the net electric field at the point (2.0 m, 0).
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