Calculate the magnitude and direction of the dipole moment of the following arrangement of charges in the xy-plane: 4e at (0, 0), −2e at (162 pm, 0), and −2e at an angle of 30° from the x-axis and a distance of 143 pm from the origin.

Q: An electric dipole consists of charges +2e and -2e separated by 0.78 nm. It is in an electric field…

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Q: How much work is required to turn an electric dipole 180 in a uniform electric field of magnitude E…

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Q: An electric dipole with dipole moment 4x10°Cm is aligned at 30° with the direction of a uniform…

A: Given: The dipole moment of the electric dipole is 4×10-9 Cm. The angle between the dipole and…

Q: The coordinate of charges q1q2 and q3 are given by (x1=20,y1=0,z1=27), (x2=26,y2=0,z2=−14) and…

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Q: An infinite line of positive charge lies along the y axis, with charge density λ = 1.90 μC/m. A…

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Q: The dipole moment associated with a set of points charges {q1, 92, -..qN} located at positions {r1,…

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Q: A system has two charges qA = 2.5 × 10–7 C and qB = –2.5 × 10-7 C located at points A: (0, 0, –15…

A: According to the property of charges, they are additive in nature.

Q: A small, rigid object carries positive and negative 5.00 nC charges. It is oriented so that the…

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Q: If a dipole of dipole moment pi is placed at point (0, y) and a point charge at the origin of a…

A: Given that: Position of the dipole (0,y)Dipole moment: p→=pi^Coodinate under consideration (x,x+y)…

Q: A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 20î +…

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Q: A particle of charge Q is fixed at the origin of an xy coordinatesystem. At t = 0 a particle (m =…

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Q: If a dipole of dipole moment pi is placed at point (0,y) and a point charge at the origin of a…

A: Given data: Dipole moment, p→=pi^ at point 0, y

Q: An elctric dipole with dipole moment p = 29i + 36j+37k is placed in an electric fieldE = 2i + 13 +…

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Q: A small object with electric dipole moment p is placed in a nonuniform electric field E = E(x)î.…

A: Given data: The magnitude of the electric dipole moment is: p The magnitude of the electric field…

Q: An infinite line of positive charge lies along the y axis, with charge density λ = 2.00 μC/m. A…

A: The figure of this problem can be drawn as follows: Here along Y axis the infinite line charge is…

Q: An elctric dipole with dipole moment p =19i^+32j^+23k^ is placed in an electric field E'=8i+3j+9k .…

A: Given: The dipole moment is 19i^+32j^+23k^. The electric field is 8i^+3j^+9k^.

Q: A point dipole with an electric moment p is placed at a distance I from an infinite onducting plane.…

A: Consider a point dipole(p) placed at a distance, r= l m from conducting plate.

Q: Two point charges q = 4.2 nC (negtive) and Q = 4.2 nC (positive) are separated by distance 3.5 mm.…

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Q: Consider the following system of static charges. Three charges q are located at positions (a/2, 0,…

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Q: An elctric dipole with dipole moment p= 29i + 36 j+37k is placed in an electric field E = 2i +1j+4k.…

A: Given p= 29i+ 36j+ 37k E = 2i+ 1j +4k

Q: - Two opposite and equal charges 4 x 10-8 C when placed 2 x 10 cm away, form a dipole. If this…

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Q: A dipole with –Q at the origin (0,0) and the +Q at coordinates x= 4.00 cm, y = 3.00 cm is in an…

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Q: A dipole lies along the x-axis, centered at the origin of the coordinate system as shown. +y A OP +…

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Q: Two 1.0 (g) balls are connected by a 2.0 (cm) long insulating rod of negligible mass. One ball has a…

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Q: A charge of-9.0 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the…

A: The magnitude of the charge on a thin plastic ring,

Q: torque acting on the dipole

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Q: 2d P+ Q v. A particle of charge +q and mass m is ejected from the point P with the initial velocity…

A: Given: initial velocity u→=30i^+20j^ m/s d=2 cm = 0.02 m L = 10 cm =0.1 m V = 1000 V

Q: A system has two charges qa = 2.5 x 107C and qB =-2.5 x 10 C located at points A: (0, 0, 15 cm) and…

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Q: An initially-stationary electric dipole of dipole moment p= (5.00 x 10-10C.m)i placed in an electric…

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Q: Charges Q, Q and -2Q are placed on the vertices of an equilateral triangle ABC ofsides of length a,…

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Q: For a dipole having magnitude of charge q = 4 × 10- C and distance between the charges d= 0.02 m. If…

A: Here we are given with a dipole of charge  q= 4×10-6 C ,  Separation distance,d= 0.02 m .  Electric…

Q: The diagrams show four possible orientations of an electric dipole in a uniform electric field E.…

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Q: Show that the electric filed at a location on the x axis, a distance l from the origin comes out to…

A: Analyze the following figure. The electric field’s components in the Z direction will get cancel…

Q: An electric dipole consists of a particle with a charge of +6 µC at the origin and a particle with a…

A: Given that, charge, q = 6 x 10-6 C Separated by a distance, d =3 x 10-2 m

Q: Find the torque acting on a dipole of dipole moment 10^(-4) C/m placed inside a uniform electric…

A: Two equal and opposite charges separated by a distance, d is known as an electric dipole. The dipole…

Q: An infinite line of positive charge lies along the y axis, with charge density A = 1.10 µC/m. A…

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Q: A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the…

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Q: Consider an electric dipole moment p. How would the electric field E change if the distance between…

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Q: Two point charges, q1 = 2.0 pC and q1 = -2.0 pC, are separated by 2.4 m. What is the dipole moment…

A: q1 = 2 pC q2 = -2 pC distance between the charges (d) = 2.4 m

Q: A dipole of moment 0.50 e - nm is placed in a uniform electric field with a magnitude of 1.8 x 105…

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Q: le of moment 0.50 e· nm is placed in a uniform electric field with a magnitude of 1.8 x 105 N/C.…

A: Dipole moment "p "= 0.50 e.nm . Electric field "E"= 1.8×10^⁵ N/ C .

Q: Calculate the dipole moment P (in the proper units) of two-point charges q1= -2C located at (2, 15)…

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Q: A dipole with –Q at the origin (0,0) and the +Q at coordinates x= 4.00 cm, y = 3.00 cm is in an…

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Q: An electric dipole in a uniform horizontal electric field of magnitude 2.5 x 105 N/C is currently at…

A: Because there are no losses and dipole starts with an angle θ on one side, it will move to an angle…

Q: Two charges each equal to O are fixed at (-a, 0,0) and (a,0, 0) . A particle of charge -Q and mass m…

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Q: Ay V+ 2d Q v. A particle of charge +q and mass m is ejected from the point P with the initial…

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Q: What is the total charge and electric dipole moment of the system?

A: Given,  Charge, qa=2.5×10-7C Charge, qb=-2.5×10-7C Point of charge, A=(0,0,-15cm) Point of charge,…

Q: wo

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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.