**Problem 3:** A \( q_1 = -10.0 \, \text{nC} \) point charge and a \( q_2 = +20.0 \, \text{nC} \) point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? **a)** In the figure below, where could a point with \( \mathbf{E} = 0 \) be located (to the left, to the right, or between the charges)? If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? (use \( |q_2|/|q_1| = 2 \) and the fact that electric field strength is proportional to \( q/r^2 \)) Mark the point \( \mathbf{E} = 0 \) in the figure and compute its coordinate. \[ \begin{array}{c} \begin{tikzpicture} \draw[->] (-1,0) -- (6,0) node[right] {x}; \filldraw[blue] (0,0) circle (2pt) node[below] {$q_1 = -10\, \text{nC}$}; \filldraw[red] (5,0) circle (2pt) node[below] {$q_2 = 20\, \text{nC}$}; \draw (0,0) node[below] {$x = 0$}; \draw (5,0) node[below] {$x = L = 15 \, \text{cm}$}; \end{tikzpicture} \end{array} \] **b)** Compute the electric potential at the point \( \mathbf{E} = 0 \) as a sum of potentials created at that point by charges \( q_1 \) and \( q_2 \). **c)** In the figure below, mark the point between the charges where the electric potential is zero (\( V = 0 \)). If you use just \( |q_2|/|q_1| = 2 \
**Problem 3:** A \( q_1 = -10.0 \, \text{nC} \) point charge and a \( q_2 = +20.0 \, \text{nC} \) point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? **a)** In the figure below, where could a point with \( \mathbf{E} = 0 \) be located (to the left, to the right, or between the charges)? If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? (use \( |q_2|/|q_1| = 2 \) and the fact that electric field strength is proportional to \( q/r^2 \)) Mark the point \( \mathbf{E} = 0 \) in the figure and compute its coordinate. \[ \begin{array}{c} \begin{tikzpicture} \draw[->] (-1,0) -- (6,0) node[right] {x}; \filldraw[blue] (0,0) circle (2pt) node[below] {$q_1 = -10\, \text{nC}$}; \filldraw[red] (5,0) circle (2pt) node[below] {$q_2 = 20\, \text{nC}$}; \draw (0,0) node[below] {$x = 0$}; \draw (5,0) node[below] {$x = L = 15 \, \text{cm}$}; \end{tikzpicture} \end{array} \] **b)** Compute the electric potential at the point \( \mathbf{E} = 0 \) as a sum of potentials created at that point by charges \( q_1 \) and \( q_2 \). **c)** In the figure below, mark the point between the charges where the electric potential is zero (\( V = 0 \)). If you use just \( |q_2|/|q_1| = 2 \
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hello, I just need help with part D
![**Problem 3:** A \( q_1 = -10.0 \, \text{nC} \) point charge and a \( q_2 = +20.0 \, \text{nC} \) point charge are 15 cm apart on the x-axis.
1. What is the electric potential at the point on the x-axis where the electric field is zero?
2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero?
**a)** In the figure below, where could a point with \( \mathbf{E} = 0 \) be located (to the left, to the right, or between the charges)? If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? (use \( |q_2|/|q_1| = 2 \) and the fact that electric field strength is proportional to \( q/r^2 \)) Mark the point \( \mathbf{E} = 0 \) in the figure and compute its coordinate.
\[
\begin{array}{c}
\begin{tikzpicture}
\draw[->] (-1,0) -- (6,0) node[right] {x};
\filldraw[blue] (0,0) circle (2pt) node[below] {$q_1 = -10\, \text{nC}$};
\filldraw[red] (5,0) circle (2pt) node[below] {$q_2 = 20\, \text{nC}$};
\draw (0,0) node[below] {$x = 0$};
\draw (5,0) node[below] {$x = L = 15 \, \text{cm}$};
\end{tikzpicture}
\end{array}
\]
**b)** Compute the electric potential at the point \( \mathbf{E} = 0 \) as a sum of potentials created at that point by charges \( q_1 \) and \( q_2 \).
**c)** In the figure below, mark the point between the charges where the electric potential is zero (\( V = 0 \)). If you use just \( |q_2|/|q_1| = 2 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F135ae25c-4e57-47fe-981c-440929c4b953%2F313bc9f5-d27a-4b6e-bca0-2600c94550f6%2Fhmwvcmy_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 3:** A \( q_1 = -10.0 \, \text{nC} \) point charge and a \( q_2 = +20.0 \, \text{nC} \) point charge are 15 cm apart on the x-axis.
1. What is the electric potential at the point on the x-axis where the electric field is zero?
2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero?
**a)** In the figure below, where could a point with \( \mathbf{E} = 0 \) be located (to the left, to the right, or between the charges)? If the distance between this point and \( q_1 \) is \( r \), what should its distance from \( q_2 \) be? (use \( |q_2|/|q_1| = 2 \) and the fact that electric field strength is proportional to \( q/r^2 \)) Mark the point \( \mathbf{E} = 0 \) in the figure and compute its coordinate.
\[
\begin{array}{c}
\begin{tikzpicture}
\draw[->] (-1,0) -- (6,0) node[right] {x};
\filldraw[blue] (0,0) circle (2pt) node[below] {$q_1 = -10\, \text{nC}$};
\filldraw[red] (5,0) circle (2pt) node[below] {$q_2 = 20\, \text{nC}$};
\draw (0,0) node[below] {$x = 0$};
\draw (5,0) node[below] {$x = L = 15 \, \text{cm}$};
\end{tikzpicture}
\end{array}
\]
**b)** Compute the electric potential at the point \( \mathbf{E} = 0 \) as a sum of potentials created at that point by charges \( q_1 \) and \( q_2 \).
**c)** In the figure below, mark the point between the charges where the electric potential is zero (\( V = 0 \)). If you use just \( |q_2|/|q_1| = 2 \
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