Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge −Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges. (a) Show that if x is small compared with d, the motion of −Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge −Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a<<d from the midpoint?

Q: Two point charges of 3 nC and -4 nC are placed, respectively, at (0, 0, 1 m) and (0,0,2 m) while an…

A: We know that the force between the two charges is given as  F = kq1q2r2 k is Colomb's constant r is…

Q: Three charges of −7 nC, −4 nC and 0.5 nC are situated at P(3, π/4, π/4), Q(0, 5, π, π/4) and S(−1,…

A: The force on the 4nC will be in the positive X direction and= k * q1 * q2 / r^2= (9.0 x 10^9 * 4…

Q: Find the torque on a charged rod of length L and charge Q when placed in a uniform E field where the…

A:

Q: Two conductors with concentric radii r1=10 m and r2=20 m are placed in such a way that their center…

A:

Q: Two small metallic spheres, each of mass m = 0.186 g, are suspended as pendulums by light strings of…

A: The net force exerted on the pendulum along x axis is,Substitute the length of the string as,

Q: A particle of mass m and charge q enters a uniform downward electric field E with initial velocity…

A:

Q: a charge Q' = 2 μC having mass m = 0.2 kg is placed at the point M and then released (with the other…

A:

Q: Two connected charges of +q and -g respectively are at fixed distance AB apart in a non-uniform…

A:

Q: Three wires, each carrying 10 A are oriented in a plane with a separation of 2cm as shown below. A…

A:

Q: An object of mass 1.0×1010kg and charge +0.86C is separated by a distance of 10,000m from another…

A:

Q: A particle of charge −q−q and mass m is placed at the center of a uniformaly charged ring of total…

A: Answer:   To show that the particle oscillates in simple harmonic motion with a frequency:

Q: Two point charges +Q and -Q of mass m are placed on the ends of a massless rod of length L, which is…

A:

Q: Two small metallic spheres, each of mass m = 0.300 g, suspended as pendulums by a light string of…

A:

Q: Six charges, three positive and three negative of equal magnitude are to be placed at the vertice of…

A:

Q: Two conductors with concentric radii r1=6 m and r2=28 m are placed in such a way that their center…

A:

Q: Two point charges q1= 1.25 nC and q2= 4.50 nC with masses of = 3.00 µg and = 1.00 µg respectively,…

A:

Q: A doubly charged (so twice the charge of a proton) helium atom whose mass is 6.6 x 10- 27 kg is…

A: charge (q) = +2 e mass (m) = 6.6×10-27 kg initial velocity (u) = 0 m/s Potential difference (∆V) =…

Q: One end of a light spring with force constant k = 125 N/m is attached to a wall, and the other end…

A: Given:-                 Spring with force constant   k = 125 N/m                  metal block with…

Q: A "thin" uniform non-conducting rod of length L = 54.8 cm carries charge Q = 527 µC distributed…

A:

Q: Two conductors with concentric radii r1=5 m and r2=22 m are placed in such a way that their center…

A:

Q: A charged particle begins at rest at the origin. Suddenly, a force causes the particle to accelerate…

A:

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

A:

Q: An electron at point A as shown in the figure has a speed th = 2.2 x 10° m/s. The distance between…

A: Speed of the electron is v0=2.2×106 m/s Mass of electron is me = 9.109×10−31 kg Charge of electron…

Q: Two equal point charges q are fixed in (d, 0, 0) and (−d, 0, 0); a third point charge −Q of mass m…

A:

Q: A particle possessing q = 8.25 µC of charge and a mass of m = 7.55 g is fired at a speed of v = 357…

A: Solution:-   Given,        charge of the particle  q=8.25 μc         mass of the particle…

Q: Consider an electron near the Earth’s equator. In which direction does it tend to deflect if its…

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

Q: A uniform field between two large, parallel flat plates, due to the horizontal position of the…

A: In this question we are given that a uniform field between two large, parallel flat plates, due to…

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: Consider a system consisting of two protons that are separated by a distance of 25 nm. Now, replace…

A:

Q: Find the net electric force in the given system on Q, due to other given charges. Q = 2.7 x 105 c…

A:

Q: A particle of mass 5 grams and charge 44 µC is projected with speed of 50 m/s on a smooth horizontal…

A:

Q: Why is the following situation impossible? Two identical dust particles of mass 1 μg are floating in…

A:

Q: q1 = 5.11nC and q2 = -5.11 nC. However, m1 >> m2 = 16.0 microg such that particle 1 can be regarded…

A:

Q: A charge of q = 1 10-10 C is located at (0,1,-2) and point P is at (1,1,z). The velocity vector v =…

A: Given: The magnitude (q) of the charge is 10-10 C. The velocity (v→) is 2i^-3j^-k^. The magnetic…

Q: Two point charges Q1 = Q2 = +2.1 μC are fixed symmetrically on the x-axis at x = ±0.042 m. A point…

A: Q1 = Q2 = 2.1×10-6 C x = ±0.042 m Q3 = 4.4×10-6 C m = 1.9×10-5 kg y1 = 0.025 m y2 = 0.078 m distance…

Q: A particle of mass m and charge q is constrained to move along a straight line joining two other…

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:

Q: Calculate the magnitude and determine the direction of the net electric force on the +1.0C charge…

A:

Q: Consider the figure with a symmetrical arrangement, in which qa = 9 = +8.45 µC, q. = qa = -8.45 µC,…

A:

Q: A charge of -2.00 µC is placed at the origin of a xy coordinate system, and a charge of 5.00 µC is…

A:

Q: . A positive charge of mass 2m is initially at rest, directly to the left of a negative charge of…

A:

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…

A:

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: Why is the following situation impossible? Two identical dust particles of mass 1.00μg are floating…

A: Mass of each dust particle (m) = 1 μg Let the charge carried by each dust particle = Q Let the…

Q: A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E…

A: Given electric field acts in y-direction magnetic field acts in z-direction mass of particle = m…

Q: Two conductors with concentric radii r1=6 m and r2=15 m are placed in such a way that their center…

A:

Q: 2. A) Does Newton's Universal law of Gravitation satisfy the Action-Reaction Law? Discuss B) Does…

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.