A proton q orbits with a speed v just outside a charged sphere Q of radius r. Find the charge on the sphere.
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- An electron (of mass 9.109 × 10−31 kg) anda proton (of mass 1.673 × 10−27 kg) are eachplaced at rest in an external uniform electricfield of 478 N/C.Calculate the speed of the electron after 31 ns. The fundamental charge is1.602 × 10−19 C .Answer in units of m/s.A particle of charge q is fixed at point P, and a second particle of mass m and the same charge q is initially held a distance r1 from P. The second particle is then released. Determine its speed when it is a distance r2 from P. Let q = 2.8 µC, m = 30 mg, r1 = 1.3 mm, and r2 = 2.6 mm.Two charges are located in the xy plane: charge q₁ = -3.35 nC is located at (x = 0.00 m, y = 1.000 m); charge q2 = 3.40 nC is located at (x = 1.40 m, y = 0.450 m.) Calculate the x and y components, Ex and Ey, respectively, of the net electric field È at the origin. The value of the Coulomb force constant is 1/(4€) = 8.99 × 10⁹ Nm²/C². Ex = N/C Ey = = N/C
- Three point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an equilateral trian- gle with side length l fixed in place, but the third experiences an acceleration of 8.0 cm. Two of the particles are 17.4 m/s? immediately after being released from rest. What is the mass m of each particle? (Suppose that the particles are located in outer space so that you can ignore the effects of gravity.)In fig. 197, on the axis of the metallic ring of radius R=30 cm and charge Q = +3 x 10-¹⁰C uniformly distributed, an electron is located at a distance "x" from its center (x<È= [dE = [k9 .. Start with... f... dxA 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.A charge q, = +5.0 x 109 C is located at the origin of an xy-coordinate system, and a charge q2 %3D = -2.0 x 10 c is located on the y-axis at y = 0.3 m. Find the components of the electric field at a point P with coordinates (0.4 m, 0.3 m).A ring of radius R that lies in the xy plane carries a positive charge Q uniformly distributed over its lerigth. A particle of mass m that carries a negative charge of magnitude q is at the center of the ring. (a) Show that if x << R, the electric field along the axis of the ring is proportional to z. (b) Find the force on the particle of mass m as a function of z. (c) Show that if m is given a small displacement in the x direction, it will perform simple harmonic motion. Calculate the period of that motion