What are the strength and direction of the electric field at the position indicated by the dot in FIGURE P? Give your answer (a) in component form and (b) as a magnitude and angle measured cw or ccw (specify which) from the positive -axis.
a. The electric field at the dot is .
b. The angle made by the electric filed is counter clockwise direction from the positive -axis.
The electric field is,
permittivity of free space is .
In the diagram below, two positive charges and one negative charge are located in the three corners of a rectangle.
The electric field generated by the positive charge at the dot is directed away from the positive charge. The electric field generated by the negative charge at the dot is directed towards the negative charge.
Calculate the component form of the electric field strength at the place given by the dot in the diagram.
The angle formed by the vertical and the diagonal is,
The component form of the resultant electric field at the dot is as follows:
-component of the net electric field at the dot.
The magnitude of the electric field due to the charge one is
The magnitude of the electric field due to the charge two is,
The magnitude of the electric field due to the charge three is,
So electric dot is,
Magnitude of the electric field at the dot is given by the expression,
Substitute all values,
angle of electric field is,
Here, negative sign indicates counter clockwise direction from the positive-axis.
An electric field can induce an electric dipole in a neutral atom or molecule by pushing the positive and negative charges in opposite directions. The dipole moment of an induced dipole is directly proportional to the electric field. That is, , where is called the polarizability of the molecule. A bigger field stretches the molecule farther and causes a larger dipole moment.
a. What are the units of ?
b. An ion with charge is distance from a molecule with polarizability . Find an expression for the force .
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