In the figure below, a charged particle of mass m = 20 g and charge q = 0.250 mC is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0° with the vertical. Determine the linear charge density of the rod.

Q: A very small sphere with positive charge q=+ 5.00 μC is released from rest at a point 1.70 cm from a…

A: Using the conservation of the law of the energy, Ka+Ua=Kb+Ub0++Ua=Kb+UbKb=Ua-Ub

Q: psitive charg charne har

A: (a) At equilibrium the net force is zero F13=F23kq1qx2=kq2qd-x2q1x2=q2d-x2d-x2x2=q2q1d-xx=q2q11.5…

Q: A 13.5 g piece of Styrofoam carries a net charge of -0.5 μC and floats above the center of a very…

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Q: 1. Two small beads having positive charges 3q and q are fixed at the opposite ends of a horizontal,…

A: Given: Charge q1=3q Charge q2=q

Q: A charged metal sphere of radius Rs and a charged, flat metal disk of radius Rp are connected by a…

A: The solution for this answer has been given below...

Q: Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin.…

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Q: There is a 30 microcoulomb charge at the origin. There is a 203 microcoulomb charge on the x axis at…

A: Given data:   q1 = 30 μC at origin q2 = 203μC at x = 4 m q3 = 151 μC at y = 5 m

Q: Two small beads having positive charges q₁ = 309 and 92 = q are fixed at the opposite ends of a…

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Q: A large positively charged object with charge q4 = 3.25 µC is brought near a negatively charged…

A: Given: The charge is q+=3.25 μC. The charge on ball is q-=-54.3 nC. The mass of the ball is m=16.5…

Q: MIT NOTES ASK TOUR TEACHER PRACTICE ANOTHER A uniformly charged spherical shell has inner and outer…

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Q: A hollow conducting sphere has an inner radius of r1 = 1.5 cm and an outer radius of r2 = 3.5 cm.…

A: Consider the distance of a point away from the sphere’s center be r, and the electric field at this…

Q: A small plastic ball of mass 6.34 × 10-3 kg and charge +0.164 μC is suspended from an insulating…

A: From equilibrium condition we can calculate the charge of each plate

Q: A sphere with charge 5.00x10* C hangs from a thread near a very large, charged insulating sheet that…

A: Charge on the sphere is Q = 5×10-⁵ C  Charge density of the insulating sheet is given by σ = -…

Q: 11. A circular plate has a radius of 9 cm and a total charge of 25 µC. A dust particle of charge 5…

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Q: Three-point charges are arranged along the y – axis in a vacuum with distance 2×10^8 nm. The topmost…

A: Coulomb's law states that the force acting between two charges is directly proportional to the…

Q: Two small metallic spheres, each of mass m = 0.35 g, are suspended as pendulums by light strings…

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Q: A small sphere with mass mm and charge q is attached to one end of a string with length L and…

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Q: In the image are three point charges, Q1 = 21.4 uC, Q2 =-34.6 µC, and O, = 67.3 C, arranged…

A: Given,Q1=21.4 μCQ2=-34.6 μCQ3=67.3 μCQA=17.5 μCx=y=30.1 cm

Q: Three-point charges are fixed to the corners of an equilateral triangle, as the drawing shows. The…

A: We are given 3 charges. We are given values of these 3 charges. We are given that these charges are…

Q: A small sphere with mass m carries a positive charge q and is attached to one end of a silk fiber of…

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Q: A charged sphere in static equilibrium is resting on a horizontal surface. Directly above it is…

A: Step 1: Draw the FBD (Note: Force due to the charges is on the direction of the tension because the…

Q: A 2.0 mm × 4.0 mm flat carpet acquires a uniformly distributed charge of −−10 μC after you and your…

A: Dimensions of carpet are Charge on carpet is Mass of dust particle is Note:Permittivity of free…

Q: Two metal spheres of identical mass m = 4.40 g are suspended by light strings 0.500 m in length. The…

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Q: Two small spheres, each with mass m = 12.0 g and charge q, are suspended from a point by threads of…

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Q: Two spherical conductors are separated by a distance much larger than either of their radii. Sphere…

A: Given data: Radius of the sphere A (r1) = 26.5 cm Net charge = -68.3 nC Radius of sphere B (r2) =…

Q: Two small beads having positive charges are fixed at the opposite ends of a horizontal insulating…

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Q: A physics lab instructor is working on a new demonstration. She attaches two identical copper balls…

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Q: The figure below shows three small, positively charged beads at three corners of a rectangle. The…

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Q: When two identical conducting spheres are held in place and their center-to-center spacing is 42.5…

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Q: Measuring the Charge. You and your team are designing an experiment where two spherical insulating…

A: There are two forces acting on the upper bead: the gravitational force and the electrostatic force.…

Q: A small bead with a positive charge q is free to slide on a horizontal wire of length 4.0 cm. At the…

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Q: A 0.10 g honeybee acquires a charge of 20 pC while flying. The electric field near the surface of…

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Q: A small glass bead with a charge of +82 nC is affixed to an insulating string. The other end of the…

A: Given data The charge is q=82 nC The force is F=220 N   The force on the charge is, F=qE220…

Q: (a) A physics lab instructor is working on a new demonstration. She attaches two identical iron…

A: The below figure represents the free body diagram of two identical iron spheres .

Q: An infinite line of positive charge lies along the y axis, with charge density λ=1.30 μC/m. A dipole…

A: GIVEN: linear charge density λ =1.3μc/m position of dipole center x=22cm magnitude of charges q=…

Q: in Figure 2. The balls each have a mass m = 425 g and the thread has a length of 30.0 cm. In…

A: To calculate the magnitude of charge on each ball. Given:Mass of each ball: m=425 g=425×10-3 kgAngle…

Q: A 148 mg plastic bead has a radius of 344 μm and is charged by the addition of 1.38×1010 excess…

A: The mass of the plastic bead, m=148 mg = 148×10-6 kg Number of excess electrons, n=1.38×1010

Q: Two small beads having positive charges q1 = 24q and q2 = q are fixed at the opposite ends of a…

A: (given) q1 = 24 q q2 = q  d = 1.50 m Q is the charge on bead. (a) Force exert by charge q1 is…

Q: A conducting sphere of radius r1 = 0.21 m has a total charge of Q = 1.6 μC. A second uncharged…

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Q: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged…

A: r1 = 0.18 mr2 = 0.42 mCharge, Q1 = 1.4 μCCharge, Q2 = ?

Q: A 0.01294 kg ball with a positive charge of 47.4 μC hangs from a light string right next to a large…

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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.