In a vacuum, a proton (charge = +e, mass = 1.67 x 10-27 kg) is moving parallel to a uniform electric field that is directed along the +x axis (see figure below). The proton starts with a velocity of +9.90 × 104 m/s and accelerates in the same direction as the electric field, which has a value of +1.50 × 103 N/C. Find the velocity of the proton when its displacement is +2.0 mm from the starting point. ·+x

For each contour map in the figure estimate the e electric fields at points 1 and 2. Don't forget that E is a vector quantity. (а) 0 V 10 V 20 V 30 V 40 V 0 m 1 m 2 m 3 m 4 m (b) 0 V 10 V 20 V 30 V 40 V 0 m 1 m 2 m 3 m 4 m

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A proton is briefly accelerated in the direction of the arrow labeled å. At an observation location indicated by the vector f on the diagram, ā, is shown in red. ā (a) If 0 = 68 degrees, and the magnitude of the acceleration is 1.8e+17 m/s2, what is the magnitude of a? m/s2 (b) What is the magnitude of the radiative electric field at the indicated observation location, if the magnitude of f is 0.011 m? N/C (c) What is the direction of the radiative electric field at the observation location? O opposite to f opposite to a ā O opposite to å O same direction as a O same direction as O same direction as a (d) What is the direction of the ordinary Coulomb electric field at the observation location, due to the proton? O opposite to a O same direction as a same direction as same direction as a O opposite to a O opposite to F (e) What is the direction of the radiative magnetic field at the observation location? out of the page. O into the page

At some instant the velocity components of an electron moving between two charged parallel plates are v. and vy. Suppose the electric field between the plates is E (it is uniform and points only in the y direction). NOTE: Express your answers in terms of the given variables, using e for the fundamental charge and me for the mass of an electron. (a) What is the magnitude of the acceleration of the electron? E a= X me (b) What is the y-component of electron's velocity when its x coordinate has changed by a distance d? Ed Vd=vy + X Ux me

A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and k.) E₁= (a) Find the components of the electric field at the point P on the y axis a distance d from the origin. Ex= d Ex~ L Ey~ (b) What are the approximate values of the field components when d >> L? 0 X X Explain why you would expect these results.

Consider an electron, of charge magnitude e = 1.602 × 10-1⁹ C and mass m₂ = 9.11 × 10-31 kg, moving in an electric field with an electric field magnitude E = 4 x 10² N/C, similar to what Thana observed in the simulation. Let the length of the plates be L = 50 cm, and the distance between them be d = 20 cm. Find the maximum speed, v, the electron could be moving if it enters the space halfway between and parallel to the two plates to just barely strike one of the plates. m/s If the field is pointing upward, which plate will Thana conclude the electron strikes at this speed? O The upper plate, because the electron charge magnitude is positive. O The upper plate, because we are only considering the magnitude of the electron charge, and magnitudes are always positive. O The lower plate, because the electron is attracted to the negative plate. O The lower plate, because the electron is negatively charged.

Multiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occurring electrons is removed. The radius of the orbit is 3.58 x 10 11 m. Determine the magnitude of the electron's centripetal acceleration. 台灣彩彩彩 Number Units 彩

A small positively charged plastic ball of mass m and charge q is suspended by a massless string of length L in a uniform electrical field E as shown in the attached image. The ball is in equilibrium when the string makes an angle of θ with the vertical. Note that the ball is under the influence of both the electric field E and the earth's gravitational force g. a. Write an equation for the horizontal electrical force acting on the ball in terms of the relevant variables provided above b. Write an equation for the tension T in the string, using any or all of the relevant variables provided above and/or any relevant constants (g, G, k). Include a sentence explaining the reasoning behind your equation (there are two possible ways to set up this equation).

E ↑ Απεργια This problem checks your understanding of the term in the equation for the electric field due to a point charge, Consider a charged particle at a point S whose coordinates are (4 m, 2 m, 6 m). We would like to find the electric field vector at a point P whose coordinates are (7 m, 8 m, 1 m). The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters? (Report your answer to one decimal place.)