(1).You have a system of 2 point charges of magnitude 48.8 mC separated by a dis
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(1).You have a system of 2 point charges of magnitude 48.8 mC separated by a distance 2.24 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in units of kJ. (2).You have a system of 3 point charges of magnitude 0.017 mC arranged in a triangle with side length 4.9 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in kJ. (3). You have a system of 4 point charges of magnitude 0.041 mC arranged in a square with side length 3 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in units of kJ. (4).You have a point charge 6.3 mC placed at the origin. What is the electric potential at a position of (0.029, 0.014, 0.044) cm? The electric potential infinitely far away from the origin is zero. Express your answer in units of V. (1).You have a system of 2 point charges of magnitude 48.8 mC separated by a distance 2.24 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in units of kJ. (2).You have a system of 3 point charges of magnitude 0.017 mC arranged in a triangle with side length 4.9 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in kJ. (3). You have a system of 4 point charges of magnitude 0.041 mC arranged in a square with side length 3 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in units of kJ. (4).You have a point charge 6.3 mC placed at the origin. What is the electric potential at a position of (0.029, 0.014, 0.044) cm? The electric potential infinitely far away from the origin is zero. Express your answer in units of V. (2).You have a system of 3 point charges of magnitude 0.017 mC arranged in a triangle with side length 4.9 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in kJ. (3). You have a system of 4 point charges of magnitude 0.041 mC arranged in a square with side length 3 cm. What is the potential energy of this system of charges? You have chosen an electric potential to equal zero when these charges are infinitely far apart. Express your answer in units of kJ. (4).You have a point charge 6.3 mC placed at the origin. What is the electric potential at a position of (0.029, 0.014, 0.044) cm? The electric potential infinitely far away from the origin is zero. Express your answer in units of V.Explanation / Answer
(1) What is the potential energy of this system of charges?
using a formula, we have
U = ke q1 q2 / d
U = (9 x 109 Nm2/C2) (48.8 x 10-3 C) (48.8 x 10-3 C) / (0.0224 m)
U = (21432.9 x 103 Nm2 / (0.0224 m)
U = 956.8 kJ
(2) What is the potential energy of this system of charges?
U = ke q1 q2 / r + ke q2 q3 / r + ke q1 q3 / r
U = (9 x 109 Nm2/C2) (0.017 x 10-3 C) (0.017 x 10-3 C) [1 / (0.049 m) + 1 / (0.049 m) + 1 / (0.049 m)]
U = (0.002601 x 103 Nm2) (61.2 m-1)
U = 0.159 kJ
(c) What is the potential energy of this system of charges?
U = ke q1 q2 / r + ke q2 q3 / r + ke q3 q4 / r + ke q4 q1 / r
U = (9 x 109 Nm2/C2) (0.041 x 10-3 C) (0.041 x 10-3 C) [1 / (0.03 m) + 1 / (0.03 m) + 1 / (0.03 m) + 1 / (0.03 m)]
U = (0.015129 x 103 Nm2) (133.3 m-1)
U = 2.01 kJ
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