8. 03 points | Previcus Answers My Notes Ask Your Teacher The four cases below a

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8. 03 points | Previcus Answers My Notes Ask Your Teacher The four cases below all show a ball with a charge of -3q at the top right corner of a square. Then there is either one, two, or three additional charged balls, each ball located at a ditterent corner ot the square. Note that the electric potential is defined to be zero an infinite distance from the charges. -2q (a) Hank the cases hased on the electric potential at the center of the square, from most positive to most negative. (se only ">rsymbols. Do not indlude any parentheses around the letters or symhols.) b) Rank the coses based on their electric potential energy, from mcst positive to most negative. (Use ornly">"r -"symbols. Do not inlude any parentheses arourndl the letters or symbols.) (c) Calculate the electric potential energy for case D. U e q-5 60 x 10-G C, and 1-20.0 cm, a well as k-9 00 x 100 N-m2 C2 Additional Materials eBook

Explanation / Answer

distance from center to corner r = L/sqrt2 = 14.14 cm = 0.1414 m

potential at the center

VA = k*(q-3q)/r = -2k*q/r

VB = k*(-3q-2q)/r = -5kq/r

Vc = k*(q-3q+q)/r = -kq/r

VD = k*(q-3q+q-2q)/r = -3kq/r

C > A > D > B

======================

part(b)

UA = -k*q*3q/L = -3*k*q^2/L

UB = +k*q*3q/(L*sqrt2) = 2.12*k*q^2/L

Uc = -k*q*3q/L - k*q*3q/L + k*q*q/(L*sqrt2) = -5.3k*q^2/L

UD = -k*q*3q/L - k*3q*q/L - k*q*2q/L - k*q*2q/L + k*q*q/(L*sqrt2) + k*3q*2q/(L*sqrt2)

UD = -5.05*k*q^2/L

B > A > D > C
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part(c)

UD = -5.05*k*q^2/L

UD = -5.05*9*10^9*(5.6*10^-6)^2/0.2

UD = -7.13 J

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