Question

2) (12 points) Consider the configuration shown below. There is a negative charge $Q_0$ at position $x_0 = 0$ and a positive charge $Q_1$ at a position $x_1 > 0$ along the x-axis. $Q_0$ $x_0 = 0$ $Q_1$ $x_1$ x a) (5 points) At what position(s) $x_2 < 0$ could another positive charge $Q_2$ be added so that the total force on $Q_0$ is 0, $F_{net} = 0$? Give your answer in terms of $x_1$, $Q_0$ and/or $Q_1$. b) (5 points) Consider the special case where $Q_2 = Q_1$. Suppose free to move along the x-direction, while $Q_1$ and $Q_2$ are fixed in place at $x_1$ and $x_2$, respectively. Draw a sketch on the graph below showing the electric potential due to $Q_1$ and $Q_2$ $V(x)$, where $V(?) = 0$, as a function of the position x along the x-axis. y Identify $x_2 = -x_1$, $-1$ No superposition, $-1$ Wrong shape, $-2$ c) (2 points) Qualitatively, describe what would happen if $Q_0$ was displaced by a small distance $?x$ to the right from $x_0 = 0$ to $x = +?x$ and then released from this point?

          2) (12 points) Consider the configuration shown below. There is a negative charge $Q_0$ at
position $x_0 = 0$ and a positive charge $Q_1$ at a position $x_1 > 0$ along the x-axis.
$Q_0$
$x_0 = 0$
$Q_1$
$x_1$
x
a) (5 points) At what position(s) $x_2 < 0$ could another positive charge $Q_2$ be added
so that the total force on $Q_0$ is 0, $F_{net} = 0$? Give your answer in terms of $x_1$, $Q_0$
and/or $Q_1$.
b) (5 points) Consider the special case where $Q_2 = Q_1$. Suppose
free to move along the x-direction, while $Q_1$ and $Q_2$ are fixed in place at $x_1$ and
$x_2$, respectively.
Draw a sketch on the graph below showing the electric potential due to $Q_1$ and
$Q_2$ $V(x)$, where $V(?) = 0$, as a function of the position x along the x-axis.
y
Identify $x_2 = -x_1$, $-1$
No superposition, $-1$
Wrong shape, $-2$
c) (2 points) Qualitatively, describe what would happen if $Q_0$ was displaced by a
small distance $?x$ to the right from $x_0 = 0$ to $x = +?x$ and then released from
this point?

2) (12 points) Consider the configuration shown below. There is a negative charge Q0 at
position x0 = 0 and a positive charge Q1 at a position x1 > 0 along the x-axis.
Q0
x0 = 0
Q1
x1
x
a) (5 points) At what position(s) x2 < 0 could another positive charge Q2 be added
so that the total force on Q0 is 0, Fnet = 0? Give your answer in terms of x1, Q0
and/or Q1.
b) (5 points) Consider the special case where Q2 = Q1. Suppose
free to move along the x-direction, while Q1 and Q2 are fixed in place at x1 and
x2, respectively.
Draw a sketch on the graph below showing the electric potential due to Q1 and
Q2 V(x), where V(?) = 0, as a function of the position x along the x-axis.
y
Identify x2 = -x1, -1
No superposition, -1
Wrong shape, -2
c) (2 points) Qualitatively, describe what would happen if Q0 was displaced by a
small distance ?x to the right from x0 = 0 to x = +?x and then released from
this point?

Added by Kathryn U.

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