A molecule can be modeled as an electric dipole with a charge +q at x=a and...
A molecule can be modeled as an electric dipole with a charge +q at x=a and a charge –q at x=−a. Evaluate the electric field on the y axis and find an approximate expression valid at large distances (y>>a).
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A molecule can be modeled as an electric dipole with a charge +q
at x=a and...
The Electric dipole, with magnitude of charge q and separation of d is oriented vertically with...
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
An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing...
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...
2. Electric dipole (20%) A very common charge arrangement in electromagnetics is the dipole. A charge...
2. Electric dipole (20%) A very common charge arrangement in electromagnetics is the dipole. A charge dipole is illustrated in the figure below. In this problem, we will find the potential and field due to a dipole. tq X (a) Find the electrostatic potential at an arbitrary position in spherical coordinates, that is find the potential at the position (r, 0,0). (b) For large values of r, we can write: Z(17 cos 0 + -1/2 ~(1 7. cos 6)-1/2 ~...
The dipole moment of the water molecule (H2O) is 6.17×10−30C⋅m. Consider a water molecule located at...
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 dipole moment of the water molecule (H2O)is 6.17 x 10-30 C- m. Consider a water...
The dipole moment of the water molecule (H2O)is 6.17 x 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 x 10-19 C, is located at 3.00 x 10-9m. Assume that ac 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...
An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing...
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...
The dipole moment of the water molecule (H2O) is 6.17×10−30 C.m. Consider a water molecule located...
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...
An electric dipole is formed from two charges, ±q, spaced 0.600 cm apart. The dipole is...
An electric dipole is formed from two charges, ±q, spaced 0.600 cm apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point (x,y)=(0cm,10cm) is 390 N/C. What is the charge q in nC? What is the electric field strength at the point (x,y)=(10cm,0cm)?
Some types of molecules that do not possess an intrinsic electric dipole moment can be given...
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...
A particular organic molecule forms an electric dipole by possessing an effective charge separation of 0.193...
A particular organic molecule forms an electric dipole by possessing an effective charge separation of 0.193 nm for a pair of +1.60 x 1019-C charges. What is the magnitude of the molecule's electric dipole moment? Number C m Find the magnitude of the torque that acts on the molecule when it is immersed in a uniform electric field of 3.77 x105 N/C with its electric dipole vector at an angle of 58.5° from the direction of the field. Number N....
2. Electric dipole (20%) A very common charge arrangement in electromagnetics is the dipole. A charge dipole is illustrated in the figure below. In this problem, we will find the potential and field due to a dipole. tq X (a) Find the electrostatic potential at an arbitrary position in spherical coordinates, that is find the potential at the position (r, 0,0). (b) For large values of r, we can write: Z(17 cos 0 + -1/2 ~(1 7. cos 6)-1/2 ~...
The dipole moment of the water molecule (H2O)is 6.17 x 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 x 10-19 C, is located at 3.00 x 10-9m. Assume that ac 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...
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...
A particular organic molecule forms an electric dipole by possessing an effective charge separation of 0.193 nm for a pair of +1.60 x 1019-C charges. What is the magnitude of the molecule's electric dipole moment? Number C m Find the magnitude of the torque that acts on the molecule when it is immersed in a uniform electric field of 3.77 x105 N/C with its electric dipole vector at an angle of 58.5° from the direction of the field. Number N....
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