2. Show that the electric field of a dipole on its axis points in the direction...
An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing the positive and negative charges inside the molecule in opposite directions. The dipole moment of the induced dipole is directly proportional to the electric field at the molecule. That is, p⃗ =αE⃗ , where p⃗ is the induced dipole moment, α is called the polarizability of the molecule, and E⃗ is the electric field at the molecule. A stronger electric field at the molecule results in a...
Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal...
"question 2 from pset 2" 4. Place an electric dipole in the electric field you found in problem 9 on PSET 2, such that the dipole moment points along the positive x-axis. In a figure, show the direction of the electric field, the dipole moment and the torque exerted by this field on the dipole. Determine the torque on the dipole due to the external electric field, and the work that the electric field does to rotate the dipole into...
The dipole moment of the water molecule (H2O) is 6.17×10−30C⋅m. Consider a water molecule located at the origin whose dipole moment p⃗ points in the +x-direction. A chlorine ion (Cl−), of charge −1.60×10−19C, is located at x=3.00×10−9m. Assume that x is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used. Find the magnitude of the electric force that the water molecule...
The Electric dipole, with magnitude of charge q and separation of d is oriented vertically with dipole moment in the +y direction. Find the dipole Electric field in the plane that bisects this dipole. What is the approximation of field at distances much larger than charge separation
The dipole moment of the water molecule (H2O) is 6.17×10−30 C.m. Consider a water molecule located at the origin whose dipole moment p? points in the +x-direction. A chlorine ion (Cl-), of charge −1.60 × 10−19 C, is located at x = 3 nm. Assume that x is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used. (a) Find the magnitude...
Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process their internal charge distribution becomes distorted by the field, with the result that the region of a molecule on the side in the direction of the field gains a positive net charge, while the region on the other side gains a negative net charge. Both charges have...
Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process their internal charge distribution becomes distorted by the field, with the result that the region of a molecule on the side in the direction of the field gains a positive net charge, while the region on the other side gains a negative net charge. Both charges have...
(3) An electric dipole consists of two point charges with opposite signs separated by a distance 2a. Assume the dipole is along the x-axis. Show that the electric field at a distant point on the dipole axis can be approximated by~ 4keqa/x
Equations 22-8 and 22-9 are approximations of the magnitude of the electric field of an electric dipole, at points along the dipole axis. Consider a point P onthat axis at distance z = 7.00d from the dipole center(where d is the separation distance between the particles of the dipole). Let Eappr be the magnitude of thefield at point P as approximated by Equations 22-8 and 22-9. Let Eact be the actual magnitude. By how much is the ratio Eappr/Eact less...