If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of electron (in m/s2) The answer (in fundamental SI unit) is
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A: As per the guidelines first question answered. Kindly post remaining question as new question
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If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of electron (in m/s2)
The answer (in fundamental SI unit) is
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- Modeling the electron as a sphere with radius a, with the charge e uniformly distributed on the surface, calculate the total electrostatic energy stored in the field produced by the electron itself. Assuming that this energy equals mc?, being m the electron mass and c the speed of light, calculate the electron radius a. [Hint: use the formula for the electrostatic energy carried by the electric field and evaluate the electric field inside and outside the sphere]A solid conducting sphere of radius R carries a charge Q. To find U, total electric-field energy, consider a spherical shell of radius r and thickness dr that has volume dV=4πr2dr. (It will help to make a drawing of such a shell concentric with the conducting sphere). The energy stored in this volume is udV, and the total energy is the integral of udV from r=0 to r→∞. Find the potential energy U for the sphere using the integral set provided. Previously you found the integral set up for U. Express your answers in terms of some, all, or none of the variables Q, R, the electric constant ϵ0 , and π, separated by a comma. U=?An carly model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of clectrons in the negative sphere. (a) Show that the clectric ficld inside this atom is Ze Ein = 1 r2 R3 (b) What is E at the surface of the atom? Is this the expected value? Explain. (c) A uranium atom has Z 92 and R = 0.10 nm. What is the clectric ficld strength %3D at r =
- The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated the given example. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q = σπR2. Suggestion: First show that x/(x2 + R2)1/2 = (1 +R2/x2)-1/2 and use the binomial expansion (1 + δ)n ≈ 1 + nδ, when δ << 1.350 / 746 110% 33. Four parallel plates are connected in a vacuum as in Figure 4. An electron, essentially at rest, drifts into the hole in plate X and is accelerated to the right. The vertical motion of the electron continues to be negli- gible. The electron passes through holes W and Y, then continues moving toward plate Z. Using the information given in the diagram, calculate (a) the speed of the electron at hole W (b) the distance from plate Z to the point at which the electron changes direction (c) the speed of the electron when it arrives back at plate X S a 37. I 38. f +4.0cm++4.0 cm+4.0 cm- t 3.0 x 102 V 5.0 x 10 V Figure 4 34. Two a particles, separated by an enormous distance, approach each other. Each has an initial speed ofHow many volts of potential difference is required to stop the electron with an initial velocity of 4.2 x10 ^ 5m / s?(qe = -1.6x10 ^ -19 c: m = 9.11x10-31 kg)
- Asapp plzzIn the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q, = -1.65 µC and q2 = 6.90 µc.) -1.00 m-A sphere of uniform charge density rho=10^−6 C/m 3 has a small hole drilled along its diameter, forming a tunnel from one end of the sphere to the other. An electron is released at the opening of the tunnel and begins to move, speeding up towards the center of sphere. After it passes the center of the sphere, it begins to slow down until it reaches the other end of the tunnel and stops. The electron then moves back up to the first opening and start the cycle again. It repeats this cycle many times. Find the frequency of this cyclic motion.
- Need help to get this correctedAn electric field of magnitude 457 V/m passing through a flat square plate of length 0.556 m on a side makes an angle of 63.8 degrees with the surface of plate. Determine the electric flux passing through the surface of the square plate. (Hint: the angle given here is the angle that the field makes with the surface, not with the area vector. In what direction does the area vector of a surface point relative to that surface?)An electron is released from rest in a uniform electric field . The electron accelerates vertically upward , travelling 4.50 m in the first 3 µs after it is released. ( a ) What are the magnitude and direction of the electric field ? b ) Are we justified in ignoring the effects of gravity ? Justify your answer quantitatively.