7. Four point-like charges are placed as shown in the figure, a = 38.0 cm and b = 48.0 cm. Find the electric potential energy of the entire system of charges. Let q1 = -1.60 µC, q2 = -2.60 µC, q3 = +5.20 µC, and q4 = +8.10 µC. comatofiotoof19 0of19 oof19 n9 0of19 0of19 oof19 93 940 9.0of19

7. Four point-like charges are placed as shown in the figure, a = 38.0 cm and b = 48.0 cm. Find the electric potential energy of the entire system of charges. Let q1 = -1.60 µC, q2 = -2.60 µC, q3 = +5.20 µC, and q4 = +8.10 µC. comatofiotoof19 0of19 oof19 n9 0of19 0of19 oof19 93 940 9.0of19

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Question

7. Four point-like charges are placed as shown in the figure, a = 38.0 cm and b = 48.0 cm. Find the electric potential energy of
the entire system of charges. Let q1 = -1.60 µC, q2 = -2.60 µC, q3 = +5.20 µC, and q4 = +8.10 µC.
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Expert Solution

Step 1

$T h e c h a r g e s a r e p l a c e d i n a r e c \tan g u l a r c o n f i g u r a t i o n q_{1} = - 1.6 μ C = - 1.6 \times 10^{- 6} C q_{2} = - 2.6 μ C = - 2.6 \times 10^{- 6} C q_{3} = 5.2 μ C = 5.2 \times 10^{- 6} C q_{4} = 8.1 μ C = 8.1 \times 10^{- 6} C$

$T h e l e n g t h o f t h e r e c \tan g l e i s, b = 48 c m = 0.48 m B r e a d t h o f t h e r e c \tan g l e i s, a = 38 c m = 0.38 m D i a g o n a l o f t h i s r e c \tan g l e c a n b e f o u n d b y u \sin g P y t h a g o r a s' t h e o r e m c^{2} = a^{2} + b^{2} c^{2} = {(0.38)}^{2} + {(0.48)}^{2} c^{2} = 0.1444 + 0.2304 c^{2} = 0.3748 c = 0.61221 m$

$C h a r g e q_{4} i s a t t h e m i d p o i n t o f t h i s d i a g o n a l$

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