Two long, charged, thin-walled, concentric cylindrical shells have radii of 2.5 and 4.0 cm. The charge per unit length is 6.9 × 106 C/m on the inner shell and -9.7 × 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward)
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- A conducting sphere of radius r1 = 0.21 m has a total charge of Q = 1.6 μC. A second uncharged conducting sphere of radius r2 = 0.29 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. What is the total charge on sphere two, Q2 in coulombs?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?Problem 6: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged conducting sphere of radius r2 = 0.42 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. What is the total charge on sphere two, Q2 In coulombs
- Three point charges lie along a straight line as shown in the figure below, where q₂ = 6.54 μC, 92 = 1.38 µC, and q3 = -1.94 μC. The separation distances are d₁ = 3.00 cm and d₂ = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. esc (a) q₁ 91 magnitude N direction to the left ✔ 1 (b) 9₂ - magnitude direction to the right (c) Q3 Need Help? Read I magnitude N direction to the left ✔ 1 / 92 Q A N FI N @ 2 W S X H command 93 -83 G 3 E D 20 F3 C $ 4 F4 R F V 25 % FS T G ^ 6 B MacBook Air FG Y H & 7 N F7 U J * 00 8 DII FB 1 M ( 9 K F9 O < H ) O L F10 command P ; F11 + 11 [ option 11 1 F12 1 deleteTwo identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.140 N when their center-to-center separation is 63.8 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0403 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.)a) 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 hydrogen atom is made up of a proton of charge +Q = 1.6x10-19C and an eledron of charge -Q = 1.6x10-19C. The proton may be regarded as a point charge at r = 0 the center of the atom. The motion of the eledtron causes its charge to be "smeared ouť into a spherical distribution around the proton, so that the electron is equivalentto a charge per unitvolume of (7) =-(Q/ra?)e"lao, where a, = 5.29x10-11 m is called the Bohr radius. (a) Find the total amount of the hydrogen atom's charge that is endosed within a sphere with radius centered on the proton. (b) Find the eledricfield (magnitude and diredion) caused by the charge of the hydrogen atom as a fundtion of (c) Make a graph as a function of rof the ratio of the eledtricfield magnitude to the magnitude of the field due to the proton alone Set up: 1. 1. The charge distribution in this task is spherically symmetric, so you can solve it using Gauss's law. 2. The charge within a sphere of radius r indudes the proton charge Qplus the…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.
- 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?Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.113 N when their center-to-center separation is 45.4 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0532 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number-0.000001 Units (b) NumberT0.0000026 UnitšTc