Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity, €o = 8.854 × 10¬1² F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, mẹ = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R Suppose you have 5 point charges q1 to q, distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R = 16 cm and the magnitude of the charges are as follows : q1 = 95 = 19 µC, q2 = q4 = 14 µC and q3 = q6 = -26 µC. a) Find the vector that points from qı to q6 and call it r1,6- æ component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on q6 due to qı in unit vector notation and call it F1,6- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. c) Find the vector that points from q3 to q6 and call it r3.6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m d) Calculate the coulomb force on q6 due to q3 in unit vector notation and call it F3,6- æ component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. e) Find the vector that points from q4 to q6 and call it r4,6- x component of the vector Give your answer to at least three significance digits. y component of the vector Give your answer to at least three significance digits. m f) Calculate the coulomb force on q6 due to q4 in unit vector notation and call it F46- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. N g) Calculate the Net Electric force on q6 due to all other charges. æ component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity, €o = 8.854 × 10¬1² F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, mẹ = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R Suppose you have 5 point charges q1 to q, distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R = 16 cm and the magnitude of the charges are as follows : q1 = 95 = 19 µC, q2 = q4 = 14 µC and q3 = q6 = -26 µC. a) Find the vector that points from qı to q6 and call it r1,6- æ component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m b) Calculate the coulomb force on q6 due to qı in unit vector notation and call it F1,6- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. c) Find the vector that points from q3 to q6 and call it r3.6- x component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. m d) Calculate the coulomb force on q6 due to q3 in unit vector notation and call it F3,6- æ component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. e) Find the vector that points from q4 to q6 and call it r4,6- x component of the vector Give your answer to at least three significance digits. y component of the vector Give your answer to at least three significance digits. m f) Calculate the coulomb force on q6 due to q4 in unit vector notation and call it F46- x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. N g) Calculate the Net Electric force on q6 due to all other charges. æ component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N
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