A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R2 = 9.5 cm, as in. Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q2 = +1.56 nC.
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- We wish to calculate the value of eo. Two small metal conducting balls of mass m, each with charge q, are attached to massless strings of length L and suspended from the ceiling. Since the balls are both positively charged, they repel each other, and so at the ceiling the strings make an angle 0 with each other. In terms of m, q, L, 0, and g, what is eo?2 narrow, flat metal plates are positioned vertically, 20.00 cm. The first plate has a positive charge with charge density σ=+630.0 mC/m2 and a second plate has an equal but opposite negative charge with charge density σ=-6300.0 mC/m2 . There are also two narrow, flat metal plates positioned horizontally, 30.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 5.00 V higher than the top plate. A small sphere with a mass of m =64.35 g, and a charge of q =22.00 mC is attached to a narrow, stiff, massless, insulating rod with a length of L= 8.00 cm, which is pivoted at point O, which is 2.000 cm from the second plate. The sphere/rod unit is angled at 5 degrees with horizontal and released from rest. Will the sphere/rod ever hit an angle of 0 degrees with the horizontal? If so, how long will it take to reach that point?Two identical small spheres of mass 1.10 g each carry equal charge (sign and magnitude) and are placed 3.60 cm apart. When released, each sphere experiences an instantaneous acceleration of 419 m/s². Determine the magnitude of the charge on one of the spheres. Report your answer in nC. (1 nC = 1.00×10-⁹ C and k = 8.99x10⁹ Nm²/C²)
- The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q₁ = -3 -3.1 μC. The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge 92 on the hanging sphere. nC 20.0 cm 18⁰ 91 92 ✈An object having a net charge of 25.9 µC is placed in a uniform electric field of 609 N/C directed vertically up. What is the mass of this object if it “floats" in the field? The acceleration due to gravity is 9.8 m/s?. Answer in units of g.Charged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.
- What should be the direction and magnitude of the vertical electric field that will balance the weight of a plastic sphere with the charge Q= +1.5 nC and mass m= 1.8 g? 3.2 x 10^5 N/C positive y-direction 1.2 x 10^6 N/C in +y-direction 1.2 x 10^6 N/C in negative y-direction 3.2 x 10^5 N/C in negative y-directiona) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).A conducting sphere of radius r1 = 0.46 m has a total charge of Q = 2.9 μC. A second uncharged conducting sphere of radius r2 = 0.23 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. r1 = 0.46 mr2 = 0.23 mQ = 2.9 μC What is the total charge on sphere two, Q2 in coulombs?
- A spherical shell of an inner radius 20.0 cm and outer radius 25.0 cm has a charge with a uniform density of 24.62 nC/m3. A proton moves in a circular orbit outside the spherical shell at a distance of 49 cm from the centre of the shell. Calculate the speed (m/s) of the proton. Round off the answer to 2 decimal places.Two red blood cells each have a mass of 9.05 × 10-14 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -3.00 pC and the other -2.60 pC, and each cell can be modeled as a sphere 3.75 × 10-º m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. initial speed: m/s What is the maximum acceleration of the cells as they move toward each other and just barely touch? maximum acceleration: m/s?Three identical metallic conducting spheres carry the following charges: q1 = +4.60 μC, q2 = +1.80 μC, and q3 = −1.60 μC. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3; those two are then separated as well. How many excess (or deficiency) electrons make up the final charge on the third sphere?