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

A:

Q: A bead with a mass of 0.050 g and a charge of 15 nC is free to slide on a vertical rod. At the base…

A: The expression for the repulsive force between the charged particles is F=kq1q2r2 according to…

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: In the figure below, a charged particle of mass m = (first two digits from your i.d.) g and charge q…

A: Consider the free-body diagram of the charged particle.

Q: In the figure below, a charged particle of mass =18 g and charge q = 0.250 µC is suspended in static…

A: Free body diagram

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

A:

Q: A charged ball of mass 1 g is suspended (öle) on a light string in the presence of a uniform…

A:

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

A:

Q: An insulating sphere of radius 2 cm and charge 2 uC is surrounded by a spherical metallic shell of…

A:

Q: A disk of radius b has a uniform surfaoe charge density a. A small ball of mass 0.003 kg and charge…

A:

Q: Two infinitely long, parallel lines of charge with linear charge densities 1.2 µC/m and -1.2 µC/m…

A:

Q: L L 2. (See problem 42, Fundamentals of Physics) Two tiny conducting balls of identical mass m and…

A:

Q: A point charge of 60 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0…

A: Given: The point charge (q) has a magnitude of 60 nC. The net charge (Q) on the hollow spherical…

Q: Two small beads having positive charges q 1=3 q and q 2 =q are fixed at the opposite ends of a…

A:

Q: Two 1.0 [g] balls are connected by a 2.0 [cm] long insulating rod of negligible mass. One ball has a…

A:

Q: Two small beads having positive charges q1 = 15q and q2 = q are fixed at the opposite ends of a…

A: First charge (q1) = 15 qSecond charge (q2) = q Distance of second charge from first charge (d) =…

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 identical metal blocks resting on a frictionless horizontal surface are connected by a light…

A: The expression to calculate the spring force is,

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: Consider a long charged straight wire that lies fixed and a particle of charge +2e and mass…

A:

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

A: From the free body diagram the electric force is balanced by T sin(θ) Where T is the tension in…

Q: A charged ball B hangs from a silk thread S, which makes an angle with a large charged conducting…

A:

Q: Y A line of charge of length with charge density A=54.0µC/m lies along the positive Y axis whose one…

A: Note in the problem it asks to calculate the Electric field at point P  due to Line Charge of…

Q: A uniformly charged rod of length L = 1.2 m lies along the x-axis with its right end at the origin.…

A:

Q: In the figure the three particles are fixed in place and have charges q1 = 92 = +1e and g3 = +1e.…

A:

Q: Your answer is partially correct. In the figure a small, nonconducting ball of mass m = 0.92 mg and…

A: Solution:

Q: A charged cork ball of mass 1.50 g is suspended on a light string in the presence of a uniform…

A:

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 small plastic ball of mass m = 1.50 g is suspended by a string of length L = 22.5 cm in a uniform…

A: Draw the free-body diagram of the ball as:

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

A:

Q: A ring of charge is centered at the origin in the vertical direction. The ring has a charge density…

A: We need to calculate the electric field due to a ring charge at a distance x along the axis of the…

Q: Two small metallic spheres, each of mass m = 0.45 g, are suspended as pendulums by light strings…

A: Given : m = 0.45 g = 0.45 x 10-3 kg θ = 4° L = 31 cm = 0.31 m

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

A:

Q: A uniformly charged insulating rod of length 18.0 cm is bent into the shape of a semicircle as shown…

A: Given, Length of the rod, L = 18.0 cm Total charge on the rod is, q = -7.50 μC As the rod is bent…

Q: A small 1.45 g plastic ball that has a charge q = 1.35 C is suspended by a string that has a length…

A:

Q: In the figure a thin glass rod forms a semicircle of radius r = 4.74 cm. Charge is uniformly…

A: Given: r=4.74cm = 0.0474 mq = 4.39 pC = 4.39*10-12 C

Q: A ball of mass m and charge +q hang with non-conducting string of length L from a very large…

A:

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

A:

Q: A thin, insulating rod of length Icarries a linear charge density^(x) that varies with distance…

A: Given data: Length of the rod is l Linear charge density, λx=Ax

Q: A rod of length ( lying along y axis carries a positive charge q and the charge distribution is…

A: Here we first calculate E field due to Vertical rod at any point P(x,0) on horizontal rod. Now we…

Q: In the figure a small, nonconducting ball of mass m = 0.77 mg and charge q = 2.5 × 10-8 C…

A: The horizontal force balanced on the ball is,The vertical force balanced on the ball is,

Q: A 5 cm radius ball is charged to 190 nC. The charge is uniformly distributed throughout the volume…

A: Given: The radius of the sphere is 5 cm. The total amount of the charge is 190 nC.

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

A: Total length of line charge= 20 cm

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.