A dipole of moment p1 lies at the origin and a dipole of p2 lies at a point whose position vector is r. Determine the force between the two dipoles. For which orientation of the dipoles does the force maximize?
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A dipole of moment p1 lies at the origin and a dipole of p2 lies at a point whose position vector is r. Determine the force between the two dipoles. For which orientation of the dipoles does the force maximize?
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- Shown below (Figure 1) is an electric dipole with equal charges +Q and –Q separated by a distance d. The dipole is free to rotate or move. Consider the following information: The dipole sits inside an electric field with |E| > 0. The dipole feels the largest torque possible. When rotated from its original orientation and released, the dipole moves back towards the original orientation. (a) On the picture below, sketch field lines corresponding to an external electric field that is compatible with this description. (b) Qualitatively, describe what would happen if the external field is shifted by 90 degreesd- d- + + P +9 -9-9 +9 -p +p Electric quadrupole. The figure shows an electric quadrupole. It consists of two dipoles with dipole moments that are equal in magnitude but opposite in direction. What is the value of E on the axis of the quadrupole for a point P a distance z from its center (assume z >> d)? Take Q = 2qd² (which is known as the quadrupole moment of the charge distribution.) NOTE: Express your answer in terms of Q and z, using ε0 when needed. E =Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges of the same sign. As a result each string makes angle a to the vertical (see figure below). Write down an expression for the tension of a string Tin terms of Coulomb force Fc between the charges and the angle a. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as , a etc. use pi, alpha. For example to get √AB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g 1 if L is given, then do not use 1. For subscripts such as Fe simply write "FC" (without the quotes). Please use…
- Answer as soon as u can (30 minutes left)In this problem we explore dipoles as sources of fields and their interactions with other charges An induced dipole is a dipole (separated, opposite charges) whose charge separation and dipole moment are caused by the presence of an external electric field, often due to some other source charge. Often, the induced dipole moment is proportional to that electric field at the location of the dipole. For example, when a charged piece of tape is near your finger, the charges inside the neutral atoms in your finger move in response to the tape's field at the location of the finger, and each atom in the finger becomes a dipole. The closer the tape is to the finger, the stronger the tape's field, the more the charges move and the larger the dipole moments of the atoms in the finger. Mathematically, we can write this as p = aE, where p is the dipole moment, E is the strength of the electric field at the location of the dipole, and a is a constant that depends on the type of atom and gives the…Derive equation for potential differences of a quarter circle charged rod with the radius of R at the center. (b) Use the result of part (a) and find potential differences of the semicircle charged rod with charge of 80.0\mu C and radius of 20.0 cm.
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