A small sphere with mass mm and charge q is attached to one end of a string with length L and tension FT. The other end of the string is attached to a wall which has surface-charge density σ. The angle between the string and the wall is θ, as shown in the drawing. Part (a) Please use the interactive area below to draw the Free Body Diagram for the small sphere. Part (b) Enter an expression for the sum of the horizontal components of the forces in the diagram in terms of the variables given in the problem statement and standard physical constants. Part (c) Enter an expression for the sum of the vertical components of the forces in the diagram in terms of the variables given in the problem statement and standard physical constants.

Q: Two point charges lie on the x axis. A charge of +2.40 PC is at the origin, and a charge of - 4.70…

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Q: If two identical conducting spheres are in contact, any excess charge will be evenly distributed…

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Q: 39. M A 50.0-m length of coaxial cable has an inner conduc- tor that has a diameter of 2.58 mm and…

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Q: Two point charges are placed on the x-axis as follows: charge 91 3.98 nC is located at = 0.205 m,…

A: According to the given data  q1=3.98 nC  at   r1=0.205m  towards +x-axis from the origin q2=4.99nC…

Q: A charge of 7.15 mC is placed at each comer of a square 0.170 m on a side. Part A Determine the…

A: Given  Side of square , a = 0.170 m  Charge on each corner ,Q = 7.15 mC

Q: When a charged balloon sticks to a wall, the downward gravitational force balanced by an upward…

A: Mass of balloon m=1.2 g = 1.2×10-3 kg Coefficient of static friction us= 0.72 The average distance…

Q: Two identical balls of 35.9 g are suspended from threads of length 1.14 m and carry equal charges as…

A: The mass of the two identical balls is given as, m=m1=m2=35.9 g The length of the wire suspended is…

Q: L L In the figure above, two tiny conducting balls of identical mass m and identical charge q hang…

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Q: Two small insulating spheres with radius 7.00x10-2 m are separated by a large center-to-center…

A: r=0.5552m q=−2.4μC=−2.4×10−6C Q = 3.3μC = 3.3 x 10-6C

Q: A neutral, aluminum pie plate is brought near to a positively-charged foam board. When it is held…

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Q: A charged arc is curved so that it is part of a circle of radius “a,” centered about the origin. The…

A: SOlution: Given that A charged arc is curved so that it is part of a circle of radius "a" arc…

Q: the diagram below, a solid, spherical, conductor is brought near a negatively-charged plastic rod.…

A: The charges are seperated by charging by induction.

Q: A particle of charge +16.5 μC and mass 2.95 x 105 kg is released from rest in a region where there…

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Q: Three identical metal balls A, B, and C are mounted on insulating rods. Ball A has a charge +q and…

A: Given, Charge on ball A = +q             Charge on ball B and C = 0 Ball A is touched first to ball…

Q: Three positive particles of equal charge, Q = 6.8 µC , are located at the corners of an equilateral…

A: The electric force between two charges Q and q is calculated by using the formula F=kQqr2 , where…

Q: Two identical conducting spheres each having a radius of 0.500 cm are connected by a light…

A: Radius = R = 0.50 cmLength = L = 2 mCharge placed on one conductor = Q = 50 uCsurface charge…

Q: Two protons are separated by a distance of 0.780 m. Given the proton charge of 1.60 x 10-19 C,…

A: Here, distance betweent he protons, d = 0.780 m charge on proton, q = 1.60*10^-19 C

Q: Two particles are fixed on an x axis. Particle 1 of charge 71.2 μC is located at x=-16.0 cm;…

A: Two charged particles located on the x-axis are at points -16.0 cm and 16.7 cm. The first charge has…

Q: A +4.2×10-⁹ C charged object is 6.2 cm along a horizontal line toward the right of a -3.0x10-9 C…

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Q: A small metal sphere has a mass of 0.11 g and a charge of -21.0 nC. It is 10.0 cm directly above an…

A: Given Mass of the each sphere is m=0.11 g=0.11×10-3 kg Charge of each sphere is q=-21.0 nC=-21.0…

Q: A uniform line of charge with length 20.0 cm is along the z-axis, with its midpoint at a = 0. Its…

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Q: A point particle of mass Mattached to one end of a massless rigid non- conducting rod of length L.…

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Q: A In the Hall effect, how is the number density of charge inside a conductor related to the…

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Q: A charge Q is transferred from an initially uncharged plastic ball to an identical ball 22 cm away.…

A: Given data The distance is given as r = 22 cm. The force of attraction is given as F = 62 mN.

Q: A charge of -2.70 nC is placed at the origin of an xy-coordinate system, and a charge of 2.40 nC is…

A: The charge at the origin, q1=-2.70 nC The charge at the point 0 cm, 4.35 cm is q2=+2.40 nC The…

Q: E 2016 Pearson Education, Inc. B The figure shows two charged objects, A and B, and the electric…

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Q: Two pith balls, each with a mass of 1.3 g, are attached to non-conducting threads and suspended from…

A: Given:mass of the balls, m = 1.3 g = 1.3×10−3 kglength of the thread, L = 10.8 cm = 0.108 mcharge on…

Q: A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius…

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Q: The attractive force between two dust particles with charges 2.50 nC and Q has a magnitude of 4.00…

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Q: The surface charge density on an infinite charged plane is -2.00 x 10-6 C/m². A proton is shot…

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Q: Find the electric field at the origin due to three charges: q1 = 1 nC is at (x, y) = (-3, 0)m q1 = 1…

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Q: For the rest of this problem, use these numbers. Particle 1 has a charge of +50.0 microcoulombs, and…

A: Given data: Charge q= 50.0 μC Mass m = 3.6 mg Speed v = 3.00 m/s Side a = 30 cm

Q: Two uncharged spheres are separated by 3.20 m. If 5.00 ✕ 1012 electrons are removed from one sphere…

A: Given: Number of electron removed = 5.0×1012 Distance between both sphere = 3.20 m.

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.