Rocket observations show that dust particles in Earth’s upper atmosphere are often electrically charged. (a) Find the distance separating two dust particles if each has a charge of +e and the Coulomb force between them has magnitude 1.00 × 10 −14 N. (b) Calculate the mass of one of the dust panicles if this Coulomb force would accelerate it at 4.50 × 10 8 m/s 2 . (In the upper atmosphere, effects from other nearby charges typically result in a small net force and acceleration.)

Q: Two charged particles are observed in vacuum. The details of the particles are as follows: Particle…

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Q: At what separation will two charges, each of magnitude 6.0 µıxpocoulombs, exert a force of 0.70 N on…

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Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

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Q: Three point charges are arranged along the x-axis as shown below. +3.00 µC -1.00 uC -4.00 µC 2.00 cm…

A: Given data: q1 = +3.00 μC   q2 = -1.00 μC q3 = -4.00 μC Distance between charge q1 and q2 (r21) =…

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: A rigid insulated rod, with two unequal charges attached to its ends, is placed in a uniform…

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Q: Two chloride ions and two sodium ions are in water, the "effective charge" on the chloride ions…

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Q: A helium nucleus of mass m = 6.64 x 10-27 kg and charge q = 6.41 x 10-19 C is in a constant electric…

A: (a) Write the given expression for force on the nucleus and rewrite it for acceleration

Q: The magnitude of the force exerted by a 5.00-V/m field on a particle with charge of –1.90 µC…

A: Given , Electric field = 5.00 V/m Charge on particle (q) = -1.90µC

Q: Three 250 C charges are placed on tiny conducting spheres at the ends of 1.00 m-long strings that…

A: We know that the force between the charge is given as  F= kq1q2r2 where q1 and q2 are the charge  r…

Q: When sugar is poured from the box into the sugar bowl, the rubbing of sugar grains creates a static…

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Q: Two point charges q1 = 4.41 nC and q2 1.68 nC with masses of m1 = 8.84 µg and m2 at rest separated…

A: Work done to separate the charges is equal to the change in kinetic energy of the point charge q2.…

Q: An infinitely long line of charge has linear charge density 4.00x10-12 +1.60x 10 19 C) is 18.0 cm…

A: The electric potential at a distance r from the line of linear charge density λ is given by…

Q: Three charges of magnitude 8.0 x 10-4c each are located at x= 1.0 m y = 0.0 m at x= 0.0 m y = 0.0 m…

A: Given data: The magnitude of each charge is q=8.0x10-4 C. The value of constant is k=9.0x109…

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

A: Given : Charge density (λ) = 1.30 μC/m =1.30×10-6  C/m Position of dipole at x = 22 cm = 0.22 m…

Q: As shown in the given figure, a small sphere of mass 0.25 g that carries a charge of 9.0 × 10^−10 C.…

A: The formula for the electric field due to long infinite sheets are: Using the above formula, the…

Q: A particle with charge -6 µC is located on the x-axis at the point 4 cm, and a second particle with…

A: The electrostatic force between the two charges is given by  F =k q q'r2

Q: What is the force Fx on the charge located at x = 8.000 cm in the figure given that q = 2.050 µC ?…

A: It is very easy

Q: As shown in the given figure, a small sphere of mass 0.25 g that carries a charge of 9.0 × 10^−10 C.…

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Q: Identical thin rods of length 2a carry equal charges, +Q, uniformly distributed along their lengths.…

A: Given :

Q: a 27 x 10-6 C point charge is held at rest within a uniform Electric field of 802.3 N/C directed in…

A: The electric field is defined as the force per unit charge acting on the charged particle placed at…

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given: Charge q1 = 5 uC distance, r1 = 6 cm Mass of sphere, m = 4 X 10-3 kg Charge q2 = 2 uC Initial…

Q: A 6.4-μC charge is placed at the origin and a second charge is placed on the x-axis at 0.18 m. If…

A: Given- Charge Q1=6.4μC =6.4×10-6 C at the origin A second charge is placed on the x-axis d=0.18 m…

Q: A very small object with mass 8.20 * 10-9 kg and positive charge 6.50 * 10-9 C is projected directly…

A: Given Mass = 8.20x10-9 kg Charge (q) =6.50 x10-9 C Surface charge density ( σ ) =5.90 x10-8 C/m2…

Q: Three charges are located as shown in the figure, with values q1 = 4.6 × 10-16 C, q2 = -1.9 × 10-16…

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Q: What is the magnitude of the ekectric field intensity at a point where a charge with a  magnitude if…

A: Given: The magnitude of charges 6.5 micro coulomb. The magnitude of the electrostatic force is…

Q: Two particles of 5.4g and 2.7 g have charges of -4μCC and 8μC respectively. They are at rest 10 cm…

A: Given data The mass of the heavier particle is: m2 = 5.4 g = 5.4 x 10-3 kg The mass of the lighter…

Q: Two equally charged particles, held 4.8 x 10-3 m apart, are released from rest. The initial…

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Q: Two point charges q1 = 1.25 nC and q2 = 4.50 nC with masses of mi 3.00 µg and m2 = 1.00 µg…

A: GivenTwo point chargesq1=1.25 nC = 1.25×10-9 Cq2= 4.50 nC= 4.5×10-9 CWith massesm1=3μg = 3×10-9…

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given data: Magnitude of point charge is, q1=+5.00 μC=+5.00×10-6 C. Mass of sphere is, m=4.00×10-3…

Q: Two uncharged, conducting spheres are separated by a distance d. When charge -Q is moved from sphere…

A: a)Since, the charges are having opposite charge, the force will be attractive.b)The required ratio…

Q: A 28 x 10-6 C point charge is held at rest within a uniform electric field of 840.0 N/C directed in…

A: The electric force on a charge q in a constant electric field E, is F = qE

Q: A positive charge q1 = 2.70 μC on a frictionless horizontal surface is attached to a spring of force…

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Q: Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 uC of…

A: Given data:  Distance between charges (r) = 25 cm Charge on Bead A (q1) = 10 μC Charge on Bead B…

Q: The electric force between two stationary charged particles is O a. inversely proportional to the…

A: The mathematical expression for calculating the electric force between two charges is : F=Kq1q1r2…

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: Three point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an…

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Q: Particle 1 has mass 3.00 g and charge +8.00 μC. Particle 2 has mass 6.00 g and the same charge. They…

A: mass of first particle (m) = 3 gmass of second particle (m') = 6 g Charge on each particle (q) = 8…

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: 8) A +7.00 µC point charge and -9.00 µC point charge are placed along the x-axis at x = 0.000 cm and…

A: Charge at A, q1 = 7×10-6 CCharge at B, q2 = -9×10-6 CCharge at C = q All the 3 charges are located…

Q: A point charge q1=+5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00 cm,…

A: Given data: The point charge is q1=5 μC. The point charge is q2=2 μC. The initial speed of the…

Q: A particle (mass=4.0 g, charge=80 mC) moves in a region of space where the electric field is uniform…

A: Let us calculate the amount of force the charged particle experiences in the electrified. F=qE The…

Q: Two charges q and –2g are placed d distance apart on a smooth table, At what distance from q should…

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Q: If the separation distance between two charged particles is increased by a factor of 2.63 and the…

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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.