A small sphere with mass m carries a positive charge q and is attached to one end of a silk fiber of length L. The other end of the fiber is attached to a large vertical insulating sheet that has a positive surface charge density σ. Show that when the sphere is in equilibrium, the fiber makes an angle equal to arctan (qσ/2mgϵ0) with the vertical sheet. What is the tension on the silk fiber? T = (_____)/(_____sin(__))

Q: A uniform rod of length I. is uniformly charged with a positive charge of q. What is the electric…

A: let,s consider Electric field at distance x from point A to the point O at which we consider a small…

Q: A charged nonconducting rod has a length L of 2.0 m and a cross-sectional area A of 8.0 cm?; it is…

A: Given: Length of rod, l = 2 m Area of rod, A = 8 cm2 = 8 X 10-4 m2 Volume charge density, pu = -10…

Q: A small mass charged sphere ( q= 3 µC) is attached by an insulating string to the surface of a very…

A: Recall In equilibrium ∑Fx=0 FE=EqWhere E=σ/2ε0

Q: You have a cube with a 6µC charge in the center. Each of the cube's sides is 12cm long. What is the…

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Q: A small 2.85 g plastic ball that has a charge q = 1.95 C is suspended by a string that has a length…

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Q: Consider two closely spaced and oppositely charged parallel metal plates. The plates are square with…

A: The expression for the electric field is,

Q: A small 2.05 g plastic ball that has a charge q = 1.95 C is suspended by a string that has a length…

A:

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: n a uniform electric field in empty space, a 3 C charge is placed and it feels an electric force of…

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Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A: According to data provided Charge of mass is 3 micro coulomb Charge density on plane is 43.8 micro…

Q: Two nested spheres are separated by an air gap, as shown below. The inner sphere is a solid non-…

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Q: A:.A A Imssb1.mutah.edu.jo A small mass charged sphere (q= 3 µC) is attached by an insulating string…

A:

Q: At time t = 0 a proton is a distance of 0.360 m from a very large insulating sheet of charge and is…

A: The electric field applied by the sheets can be obtained as E=σ2ε0=2.34×10-9 C/m228.854×10-12…

Q: A small, charged particle of mass 9.42 x 10-7g and charge +4.50 x 10-12C is sent toward a fixed…

A: This question is based on Electrostatic Potential Energy topic.  The electrostatic potential energy…

Q: A proton (m 1.67 x 10 27 kg) is placed a distance x to the left of a long, vertical wire of linear…

A: Given that           the mass of the proton is (m) = 1.67×10-27Kg           Linear charge density…

Q: A particle (mass = 4.0 g, charge = 51 mC) moves along the x-axis in a region of space where the…

A: Data given ,  Mass of the particle ( m ) = 4 gm                                 = 4 × 10-3 kg…

Q: In the figure particle 1 of charge +q and particle 2 of charge +4q are held at separation L = 10.0…

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Q: Consider a uranium nucleus to be sphere of radius R = 7.4 × 10−15 m with a charge of 92e distributed…

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Q: The total electric fleld at point P, a distance x from the center of a ring of radius a, is given by…

A: E→=6.9625×105x2+0.1232xi→

Q: A point charge, Q1 = -4.2 μC, is located at the origin. A rod of length L = 0.35 m is located along…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A charge of 100 nC is uniformly distributed along a rod of length L. The magnitude of the electric…

A: Given data: Charge distributed along the rod, Q=100 nC = 100×10-9 C Distance from the one end of the…

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: The surfaces of a lipid bi-layer forming the membrane around a cell with a radius of 1.2 µm has a…

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Q: FIGURE SHOWS THE CONDITIONS OF CHARGE 90 AND IN AN IDEAL SPACE, WHAT IS THE ELECTRIC FORCE…

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Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

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Q: A hollow sphere has an unknown charges distributed uniformly over its surface. At a distance of…

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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: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A:

Q: A uniform line of charge of length L lying between x =0 and x = L is charged with Q/2 as shown in…

A: Given A uniform line charge total charge Q/2 we have to find electric field at point p

Q: A small mass charged sphere (q= 3 \( \mu \)c ) is attached by an insulating string to the surface of…

A: Recall E=σ/2ε0 and in equilibrium net force along horizontal=0

Q: A coaxial cable consists of a wire of radius a surrounded by a thin metal cylin-drical shell of…

A: (a) Sketch of field lines for the cable

Q: In the figure we see a rod of length LA = 22 cm carries a charge QA = 22 nC and a circular arc of…

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Q: Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform…

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Q: A very long, straight wire has charge per unit length 1.50 x 10-10 C/m. At what distance from the…

A: Given data:   Charge per Unit Length, λ=1.50×10-10N/C   Electric field, E = 2.50 N/C

Q: A small mass charged sphere (q= 3 Uc) is attached by an insulating string to the surface of a very…

A: The free-body diagram is

Q: A charge of 100 nC is uniformly distributed along a rod of length L. The magnitude of the electric…

A: Given. Charge on rod = 100nC. Charge distribution on rod is 100/L nC. At 20cm from the end of rod…

Q: ppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius…

A: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

Q: Two parallel conducting plates, each of cross sectional area 540 cm2, are 8.0 cm apart and…

A: Given: cross section area A = 540cm2=540*10-4m2 number of electrons n=5.6×1012 (a) total charge Q on…

Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A:

Q: You have a cube with a 6µC charge in the center. Each of the cube's sides is 12cm long. What is the…

A: Given data:  A cube have change at center  Charge (q) = 6 μC = 6×10-6 C Required:  The flux through…

Q: An insulating rod having linear charge density 2 = 52.0 µC/m and linear mass density u = 0.100 kg/m…

A: Linear charge density , λ= 52.0 C/m ,  Linear mass density , μ= 0.100 kg/m  Electric field , E = 50…

Q: Q15: A charged insulating sphere of radius R-0.5 m and total charge Q- 10 µC distributed uniformly…

A: R = 0.5 m Q = 10μC m= 9×10-8 kg q = 2 nC

Q: a.Two spheres of equal diameters have a +15 x 10-6 C charge and – 10 x 10-6 C charge. If they are…

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Q: At t = 0 , a particle is traveling parallel to very large insulating plate at a 0.360 m distance…

A: Charge density, σ=2.34×10-9 C/m2 Charge of proton is e=1.6×10-19 C Electric field due to proton is…

Q: A small mass charged sphere (q= 3 µC) is attached by an insulating string to the surface of a very…

A:

Q: Near the surface of the Earth, a particle with mass m and charge q hovers above an infinite plane…

A: The electric field due to the infinite plane is,

Q: A particle (mass = 4.0 g, charge = 91 mC) moves along the x-axis in a region of space where the…

A: The given data are: m=4 g=0.004 kgC=91 mC=0.091 CEx=-2.5 N/Cvx=80 m/st=2 s here, m denotes the mass,…

Q: A small mass charged sphere ( q= 3 µ C) is attached by an insulating string to the surface of a very…

A: This question can easily be solved by applying the basic concepts of electric field .

Q: An insulating sphere of radius R has a positive charge. At which region is the electric field at a…

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.