Ay V+ 2d Q v. A particle of charge +q and mass m is ejected from the point P with the initial velocity v= 40î + 30f(), traveling in a parabolic orbit with a maximum height 2cm in the uniform electrie field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force). d %3D a) 16 10-2 )
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- The friends now try a homework problem. Consider an electron, of charge magnitude e = 1.602 × 10-¹⁹ C and mass me = 9.11 x 10-31 kg, moving in an elect field with an electric field magnitude E = 7 x 10² N/C, similar to what Thana observed in the simulation. Let the leng the plates be L = 50 cm, and the distance between them be d = 20 cm. Find the maximum speed, v, the electron co be moving if it enters the space halfway between and parallel to the two plates to just barely strike one of the plates 7.01e+06 X m/s If the field is pointing upward, which plate will Thana conclude the electron strikes at this speed? The lower plate, because the electron is negatively charged. The lower plate, because the electron is attracted to the negative plate. The upper plate, because we are only considering the magnitude of the electron charge, and magnitudes are always positive. O The upper plate, because the electron charge magnitude is positive.Ex : A particle ( mass = 5.0g, charge = 40mC ) move in a region of space where the electric field is uniform and is given by E, = 2.5N/c,Ey = E, = 0. If the velocity of particle at t 0 is given by vy = %3! 50m/s,v = v,y = 0, what is the speed of particle at t= 2. Os.An electron, inside an electric field region between two parallel plates as shown below, is projected upward at a speed of v0 = 5.83 x10^6 m/s and at an angle of θ = 39.0°; E = 1870 N/C (directed upward), d = 1.97 cm, and L = 6.20 cm. Will the electron strike one of the two plates? If yes, which plate will it stike and at what distance from the left edge?
- 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 meQuestion 1 a) In J. J. Thomson experiment (1897), an electron moving horizontally with a constant speed vo enters in between the horizontal plates of a capacitor. The electric field strength between the plates of length L and distance d, is E. The vertical deviation of the electron at the moment of exit from the field region is measured to be Y. Derive the expression giving the electron's charge to mass ratio, i.e. e/m to be 2v,Y/CEL). (Recall that Thomson received Nobel Prize for his achievement.) b) Calculate e/m, knowing the following data. E=1.6x10* Newton/Coulomb, L=10 cm, Y=2.9 cm, v=2.19x10* km/s. (Be careful to use coherent units.)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.
- What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.30 cm and a uniformly distributed charge of 1.50 × 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? The charge of an electron is 1.602 × 10-19 C and its mass is 9.109 × 10-31 kg.A professor accelerated an electron of mass 9.1×10^15N/C between two parallel charged plates of separation 1.7cm. Calculate the velocity with which the electron leaves a hole in positive plate if it is accelerated near the negative plate.An electron is constrained to the central perpendicular axis of a ring of charge of radius 2.8 m and charge 0.090 mC. Suppose the electron is released from rest a distance 0.012 m from the ring center. It then oscillates through the ring center. Calculate its period. (The electron is always much closer to the ring center than a radius.) Number i ! Units S
- An electron is fired at 236,348m/s into a uniform electric field generated by two plates as shown. Determine the maximum magnitude of the electric field if the particle is to exit without hitting either of the plates. The electron enters the region at the midpoint directly between the plates. The length of the plates is 0.41m and the distance between the plates is 0.18m. (Your answer will be the positive magnitude of E in units of N/C, given to 3 decimal places of precision) eThe uniform electric field between two parallel plates of opposite and separate loads of 40 mm has an intensity of 2 x 10*3 N/C. An electron is released from the negative plate with a zero initial vector speed. The kinetic energy of the electron, when it is returned to mid path between the plates, is: Please explain me this with explanations.Two large parallel plates are placed horizontally with respect to each other and are then connected to a100-V battery. If the distance between the plates is 1 cm, the uniform electric field between the plates is104 N/C in the upward direction as shown by the vectors in the figure. If the electron is released from restat the upper plate, calculate:i. kinetic energy of the electron after traveling 1 cm to the lower plate, andii. the time required for it to travel this distance.