Question

1. Electric Field 1: Four point charges 2q, q, q, and q are placed at the corners of a rectangle of dimensions a and 3a as shown in the figure below. We'll focus on point P at the center of the rectangle. We're mainly focused on finding the E-field at point P. 9 3a 2q P 9 9 (a) Find the angle \theta & the distance r from the charges at the corners to the center, P. (b) Use symmetry and the principle of superposition to reduce the problem (finding the electric field at point P). Hint: which charges \"cancel out\"? (c) Find the magnitude of the electric field $|E|$ and specify the direction. (d) Find the components of the electric field $E_x$, $E_y$. (e) Suppose an electron is released from point P. Which way will it accelerate initially? Will it continue along this line, or will it start to deviate from it? Explain.

          1. Electric Field 1: Four point charges 2q, q, q, and q are placed at the corners of a rectangle
of dimensions a and 3a as shown in the figure below. We'll focus on point P at the center of
the rectangle. We're mainly focused on finding the E-field at point P.
9
3a
2q
P
9
9
(a) Find the angle \theta & the distance r from the charges at the corners to the center, P.
(b) Use symmetry and the principle of superposition to reduce the problem (finding the
electric field at point P). Hint: which charges \"cancel out\"?
(c) Find the magnitude of the electric field $|E|$ and specify the direction.
(d) Find the components of the electric field $E_x$, $E_y$.
(e) Suppose an electron is released from point P. Which way will it accelerate initially?
Will it continue along this line, or will it start to deviate from it? Explain.

1. Electric Field 1: Four point charges 2q, q, q, and q are placed at the corners of a rectangle
of dimensions a and 3a as shown in the figure below. We'll focus on point P at the center of
the rectangle. We're mainly focused on finding the E-field at point P.
9
3a
2q
P
9
9
(a) Find the angle θ the distance r from the charges at the corners to the center, P.
(b) Use symmetry and the principle of superposition to reduce the problem (finding the
electric field at point P). Hint: which charges c̈ancel out?̈
(c) Find the magnitude of the electric field |E| and specify the direction.
(d) Find the components of the electric field Ex, Ey.
(e) Suppose an electron is released from point P. Which way will it accelerate initially?
Will it continue along this line, or will it start to deviate from it? Explain.

Added by Jennifer W.

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