In the diagram above $a=0\mathrm{.}3m$ and $b=0\mathrm{.}1m,q_1=151nC,q_2=189nC,$ and $q_3=-109nC$

a$)$ Find $V_{q1},$ the Electric Potential due to $q_1$ at a location $D,$ midway between $q_1$ and $q_2.$

$V_{q1}=$

b$)$ Find $V_{a2},$ the Electric Potential due to $q_2$ at $D.$

$V_{q2}=$

c$)$ Find $V_{q3},$ the Electric Potential due to $q_3$ at $D.$

$V_{q3}=$

d$)$ Find $V_n,$ the overall Electric Potential due to all three charges at $D.$

$V_D=$

g$)$ What would be the Electrical Potential Energy $U_{qt},$ experienced by a test charge $q_t=-31pC$ of mass $m_{+}=58g$ when placed at $D.$

$U_{qt}=$

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