Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle θ with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and − q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center. What is the net force F⃗ net that the dipole experiences due to the electric field? Express F⃗ net in terms of the given variables and the unit vectors i^, j^.   What is τcm(θ), the magnitude of the torque that the electric field exerts about the center of mass of the dipole?   Express the magnitude of the total torque in terms of the given quantities.

Q: Point charges of magnitude +2 µC and +4 µC are respectively placed at points A and B. The two points…

A: Point charges of magnitude +2 µC and +4 µC are respectively placed at points A and B. The two points…

Q: Problem 13:   A thin rod of length L = 1.3 m lies along the positive y-axis with one end at the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A small, rigid object carries positive and negative 4.00 BC charges. It is oriented so that the…

A: Given that, A rigid object consists of positive and negative charge the magnitude of positive and…

Q: wo parallel plates having charges of equal magnitude but opposite sign are separated by 33.0 cm.…

A: Hey since there are multiple sub part questions posted, we will answer first three questions. If you…

Q: (a) Ps = 3Ps0cosp (C/m²) (b) Ps = Pso sin² p (C/m²) (c) Ps = Psoe¬r (C/m²) (d) Ps = Psoe¯ Psoe-"…

A:

Q: We have four charges, each of which has size given by some integer A, B, C, or D times q, where…

A:

Q: Three point charges are located on a line: qı is +4µC, q2 is +6µC, and q3 is -7µC. Two charges are…

A:

Q: Three charges form an equilateral triangle. Two charges are along the x-axis and separated by 9 m,…

A:

Q: Rod A is fixed perpendicularly to the center of Rod B, as shown below. The rods are uniform and…

A: Given, Each rod has a length of 3.0 m, and each has a positive charge (Q) of 36μC. There is a…

Q: A point charge q= +42.0 microcoulombs moves from A to B seperated by a distance d=0.191 m in the…

A:

Q: Problem 6: Five point charges are located on the y-axis. Two are positive with charge q = 0.31 mC…

A: Electric field due to Negative charge at origin E-=-kqb2i=-9×109 Nm2C20.31×10-3 C5 m2i=-111600 NC i…

Q: A pair of unlike charges equal in magnitude and separated by a small distance is known as a dipole.…

A:

Q: Problem 5: A simple dipole consists of two charges with the same magnitude, q, but opposite sign…

A: (a) The electric field is uniform and along the positive x-axis. Therefore, the electric field E can…

Q: 1. Our text claims that a charged particle exerts a net attractive force on an electric dipole. The…

A:

Q: A molecule consists of an electric dipole with charges q and -q equal to 1x10^-9 C separated by a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Two positively charged spheres are shown in the figure below. Sphere 1 has twice as much charge as…

A: Given:-  The change q = 5.55 nC  The distance between the charge q1 and q2 is d = 0.350 m  and y =…

Q: Two pieces of tape are stuck together, and then ripped apart, forming an electric dipole with one…

A: "Since you have asked multiple questions, as per our guidelines we will solve the first question for…

Q: Six identical, positive point charges, each with a value of Q = 20μC, at points marked with full…

A:

Q: Charge q - 2.00 nC is at x, - 0 and charge az - 5.00 nC is at x, - 2.00 m. At what point between the…

A:

Q: The figure shows four orientations of an electric dipole in an external field. For each of the four…

A:

Q: A uniform electric field has a magnitude of 2.0×10^4 N/C and points to right of the electron is…

A:

Q: A positive point charge is placed near a very large conducting plane. A professor of physics…

A: In this case some  fictitious charges are placed to actually replace the electrification of the…

Q: A ring and a disk both are centered at (2, 9, 0) and are both lying on the plane y = 9. The ring has…

A: Let us consider that a ring carrying charge Q is kept on the XZ plane with the origin as the center…

Q: A 0.59kg object charged with +1.6μC lies at the origin of a plane. Charge A (-1.4µC, 0.46kg) 1 4.3cm…

A:

Q: Protons are projected with an initial speed v 9,950 m/s into a region where a uniform electric field…

A:

Q: point charge with a charge q1 = 3.00 μC is held stationary at the origin. A second point charge with…

A:

Q: Dipole consisting of two equal but opposite point charges separated by a distance "2L". The…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: Two positive point charges that are equal in magnitude are fixed in place, one at x = 0.00 m and the…

A:

Q: Two charges one negative and one positive with strength Q1= -3*q and Q2= +2*q (where q=7.0…

A:

Q: We have four charges, each of which has size given by some integer A, B, C, or D times q, where…

A:

Q: An infinite line of positive charge lies along the y axis, with charge density a = 2.20 µC/m. A…

A:

Q: A point particle with charge 4e is situated at the origin of a Carte- sian coordinate system while…

A:

Q: Problem 12:   A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end…

A:

Q: A fixed positive point charge q1= 12.0x10-5 C is held at the origin on the x axis. A very small…

A:

Q: 1 nC, and 1 nC, are located along the x-axis with the positions q,(x, y) = (0, 0) and q2(x, y) = (2…

A: Consider the figure below.

Q: 4. Three point charges -q, +q, and +q are on the x-axis as shown. The negative charge is at position…

A:

Q: The dipole is on the y axis and the charges are equidistant from the origin and the dipole moment is…

A: We are given magnitudes of charges. We are also given distance between them. Pair of equal and…

Q: Problem 6: Two point charges Q1 = 5.5 mC and Q2 = -11 mC are fixed on the x-axis at points (±d, 0),…

A:

Q: (a) Find the magnitude and direction of the net electric field at point P. For direction, give the…

A: Given Data: a=0.84 mb=0.92 mq1=+3.7 μCq2=-2.6 μC Standard Data: 14πεo=9×109 N·m2·C-2

Q: Two charges one negative and one positive with strength Q1 3.6m apart. P is located x distance from…

A:

Q: A point charge with a charge q₁ = 3.90 μC is held stationary at the origin. A second point charge…

A: Electric Potential:  The electric potential at a given position can be defined as the work required…

Q: If a capacitor has an electric field with a magnitude of 1 microNewton/Coulomb exactly halfway…

A: The 1st question you have written is incorrect. Area of tape is required.  Also 10 cm distance is…

Q: (a) Place a charge of -7 uC at point P and find the magnitude and direction of the electric field at…

A:

Q: A particle of charge q is fixed at point P, and a second particle of mass m and the same charge q is…

A:

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.