Two neutral polar molecules are attracted to each other. Suppose that each of them has a dipole moment p and that these dipoles are aligned along the x-axis and separated by a distance "x". Find the force exerted by the right dipole on the left as a function of "p" and "x". a) -4kp²/x³ i b) 4kp²/x³ i c) -6kp²/x¹i d) 6kp²/x+i e) -2kp²/x³i
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- d- 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 =The electric dipole in the figure consists of two charges, +Q and -Q, that are a distance, d, apart, where Q = 55.4 nC and d = 56.3 cm. Point A, which lies along the vertical (dotted) line midway between the two dipole charges, is an unknown distance, r, from the +Q charge. SYMBOLIC INPUT. Use the variables from the problem: Q, d, r, and Coulomb's constant, k, as needed. Electric Potential (1 of 2) The electric potential at point A will be ---Select--- The electric potential at point B will be ---Select--- This tells you that the electric field is ---Select--- the middle line. -. A BProblem 2. The electric force due to a uniform external electric field causes a torque of magnitude 10.0x10-⁹ N'm on an electric dipole oriented at 30° from the direction of the external field. The dipole moment of the dipole is 8.0 x 10-¹2 C.m. (a) What is the magnitude of the external electric field? (b) If the two particles that makeup the dipole are 2.5 mm apart, what is the magnitude of the charge on each particle? -9 Pe com +qi E
- Coulomb's law for the magnitude of the force F between two particles with charges Q and Q separated by a distance d is |F] = K_Q0I d? where K and eo = 8.854 x 10–12 C² /(N - m²) is the permittivity of free space. Consider two point charges located on the x axis: one charge, q1 = -10.0 nC, is located at z1 = -1.735 m ; the second charge, q2 = 31.5 nC, is at the origin (r = 0).Consider the setup shown in the figure. -Q Z >> S -q +q + 1 Determine the force exerted by -Q on the dipole. Choose the correct expression for the force. + sign is along the positive x-direction. 1. + k 2. + k 3. + k 4. - k × 6. - k 2 qs Q 23 2 qs Q 22 8. - k qs Q 22 5. + k 9sQ 23 2 qs Q 22 2 qs Q 23 7. - k 98 Q 23 qs Q 22Find the force of electrical attraction between a proton and an electron that are 8.7 x 10-11 m apart. Compare this to the gravitational force between these particles. N Need Help? Read It Talk to a Tutor O vA 11:44 esc DII %23 $ & backspace 1 2 3 4 6 8 tab e t y a f enter shift V n m shift alt alt str)
- Modified Exercise from the Book University Physics With Modern Physics 12th Chapter 21 Problem 99 Two 1.90-m non-conducting wires meet at a right angle. Onesegment carries +4.50 μC of charge distribution uniformly along itslength, and the other carries -9.50 μC distributed uniformly along it,as shown in Fig. (a) Find the magnitude and direction of theelectric field these wires produce at point P, which is 90.0 cm fromeach wire. (b) If an electron is released at P, what are the magnitudeand direction of the net force that these wires exert on it?Item 6 For the steps and strategies involved in solving a similar problem, you may view the following Example 19-6 video: Part A r = Submit Request Answer ? REASONING AND STRATEGY The net force on q, is the vector sum of the forces due to q, and q₂ = ₁ + ₁₂ We can find the magnitudes of the forces from Coulomb's law: 1911 191 [૧] [૩] m 0 F33- At what separation is the electrostatic force between a +13.0 μC point charge and a +28.2 μC point charge equal in magnitude to 1.85 N ? Express your answer in meters. —| ΑΣΦ F3₂-k 0.55 m Fyz 532 19one chargel 19another chargel (between charges) k-8.99 x 10 N-m²/C² 92 1.00 mThe electric dipole in the figure consists of two charges, +Q and -Q, that are a distance, d, apart, where Q = 65.4 nC and d = 39.3 cm. Point A, which lies along the vertical (dotted) line midway between the two dipole charges, is an unknown distance, r, from the +Q charge. SYMBOLIC INPUT. Use the variables from the problem: Q, d, r, and Coulomb's constant, k, as needed. Electric Potential (1 of 2) The electric potential at point A will be zero The electric potential at point B will be zero zero zero This tells you that the electric field is perpendicular to perpendicular to the middle line.. Udipole 11 +Q Potential Energy (2 of 2) Write a symbolic expression for the electric potential energy of the system, then calculate its numeric value. HJ B