Problem 5: A simple dipole consists of two charges with the same magnitude, q, but opposite sign separated by a distance d. The EDM (electric dipole moment) of E the configuration is represented by p which has a magnitude p = qd and a direction pointing from the negative charge towards the positive charge. If the dipole is located in a region with an electric field, E, then it experiences a torque T= p x E. In this problem we will explore the rotational potential energy of an electric dipole in an electric field. Part (a) Using the coordinate axes shown in the figure, express the external electric field, E, in Cartesian unit-vector notation. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), tan(0), q, 0, î, j, k, a, b, C, d0, E, m, p Part (b) The EDM, p, makes an angle 0 with the positive x axis, as shown in the figure. Enter an expression for p in Cartesian unit-vector notation. Expression : p = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), tan(0), q, 0, î, j, k, a, b, C, d0, E, m, p Part (c) Enter an expression for the torque, t, in Cartesian unit-vector notation. Expression : T =

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Problem 5: A simple dipole consists of two charges with the same magnitude, q,
but opposite sign separated by a distance d. The EDM (electric dipole moment) of E
the configuration is represented by p which has a magnitude p = qd and a
direction pointing from the negative charge towards the positive charge. If the
dipole is located in a region with an electric field, E, then it experiences a torque
T= p x E. In this problem we will explore the rotational potential energy of an
electric dipole in an electric field.
Part (a) Using the coordinate axes shown in the figure, express the external electric field, E, in Cartesian unit-vector
notation.
Expression :
E =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(0), sin(0), tan(0), q, 0, î, ĵ, k, a, b, C, d0, E, m, p
Part (b) The EDM, p, makes an angle 0 with the positive x axis, as shown in the figure. Enter an expression for p in
Cartesian unit-vector notation.
Expression :
p =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(0), sin(0), tan(0), q, 0, î, ĵ, k, a, b, C, d0, E, m, p
Part (c) Enter an expression for the torque, t, in Cartesian unit-vector notation.
Expression :
Transcribed Image Text:Problem 5: A simple dipole consists of two charges with the same magnitude, q, but opposite sign separated by a distance d. The EDM (electric dipole moment) of E the configuration is represented by p which has a magnitude p = qd and a direction pointing from the negative charge towards the positive charge. If the dipole is located in a region with an electric field, E, then it experiences a torque T= p x E. In this problem we will explore the rotational potential energy of an electric dipole in an electric field. Part (a) Using the coordinate axes shown in the figure, express the external electric field, E, in Cartesian unit-vector notation. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), tan(0), q, 0, î, ĵ, k, a, b, C, d0, E, m, p Part (b) The EDM, p, makes an angle 0 with the positive x axis, as shown in the figure. Enter an expression for p in Cartesian unit-vector notation. Expression : p = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), tan(0), q, 0, î, ĵ, k, a, b, C, d0, E, m, p Part (c) Enter an expression for the torque, t, in Cartesian unit-vector notation. Expression :
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