Suppose you have 5 point charges q to q, distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R 34 cm and the magnitude of the charges are as follows : 1 = =19 uC, q2 = q4=32 µC and q = q6 =-25 µC. a) Find the vector that points from qh to q6 and call it F1,6 b) Calculate the coulomb force on 46 due to q in unit vector notation and call it F1,6. c) Find the vector that points from q3 to q6 and call it F3,6-

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Chapter1: Units, Trigonometry. And Vectors
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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C. Vacuum permitivity, eo = 8.854 x 10 12 F/m. Magnitude
of the Charge of one electron, e =-1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each
symbol carries their usual meaning. For example, uC means micro coulomb.
Y
R.
Suppose you have 5 point charges q to q, distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which
is also the origin of given coordinate system. The radius of the semi-circle is R = 34 cm and the magnitude of the charges are as follows :
91 = = 19 µC, q2 = q4 = 32 µC and q = q6 = -25 µC.
a) Find the vector that points from q to g6 and call it F1,6-
b) Calculate the coulomb force on g6 due to q in unit vector notation and call it F16
c) Find the vector that points from q3 to g6 and call it F3,6-
d) Calculate the coulomb force on q6 due to g in unit vector notation and call it F36.
e) Find the vector that points from q4 to q6 and call it F46-
f) Calculate the coulomb force on q6 due to qa in unit vector notation and call it F4,6.
g) Calculate the Net Electric force on q6 due to all other charges
ab
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C. Vacuum permitivity, eo = 8.854 x 10 12 F/m. Magnitude of the Charge of one electron, e =-1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Y R. Suppose you have 5 point charges q to q, distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R = 34 cm and the magnitude of the charges are as follows : 91 = = 19 µC, q2 = q4 = 32 µC and q = q6 = -25 µC. a) Find the vector that points from q to g6 and call it F1,6- b) Calculate the coulomb force on g6 due to q in unit vector notation and call it F16 c) Find the vector that points from q3 to g6 and call it F3,6- d) Calculate the coulomb force on q6 due to g in unit vector notation and call it F36. e) Find the vector that points from q4 to q6 and call it F46- f) Calculate the coulomb force on q6 due to qa in unit vector notation and call it F4,6. g) Calculate the Net Electric force on q6 due to all other charges ab
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