Four parallel plates are connected together in a vacuum. An electron is placed at hole A, where it will accelerate from hole A to B, then move at constant velocity from B to C, and then decelerate between C and D (as shown). 6cm 6cm 00 7000 V 400 V a. Calculate the speed of the electron at hole B. b. Calculate the distance from plate D to the point at which the electron comes to a stop (between C and D). (*Hint: F = ma and kinematic equations are fair game.)
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- An electron with charge e and mass m is accelerated from rest through a potential V over a distance d. The electric field E in the region is constant. Which of the following expressions can be used to correctly calculate the speed v of the electron as it leaves region? eV = 1/2 mv2 eV = mv Ed = m2v2 v2 = 2Ee/d2. The figure shows two parallel plates. The graph indicates the potential at points (X1= 0.300 m and X2= 0.400 m) between two plates, with V2 = 20 V and V1= 15 V. An electron is released from rest at x1, and that release point and the plate locations are aligned with the graph. What is the electrons speed (m/s) just as it runs into the plate? (You must decide which plate it hits) helpful info:: grap wo plate it hits.) V₂ V₁ 0 A | | X₁ X₂ e (Electron charge q = -1.6 x 10¹9 C, AK-q AV, electron mass = 9.1 x 10-³¹ kg, V=Joule/Coulomb, 1 eV = 1.6 x 10¹9 J, K-mv²/2)1
- Two 1.70-cm-diameter disks spaced 2.00 mm apart form a parallel-plate capacitor. The electric field between the disks is 4.80×105 V/m. You may want to review (Pages 699-702). For help with math skills, you may want to review: Area Calculations for a Circle Mathematical Expressions Involving Squares Part A What is the voltage across the capacitor? Express your answer to two significant figures and include the appropriate units. V = Submit Part B V = HÅ Value Request Answer Submit An electron is launched from the negative plate. It strikes the positive plate at a speed of 2.40x107 m/s. What was the electron's speed as it left the negative plate? Express your answer to two significant figures and include the appropriate units. μA Value Units Request Answer Units By ? ?A parallel plate capacitor in a vacuum is made up of two square plates withsides of length L = 4 cm separated by a distance d = 1 cm. It is attached to a battery. Anelectron released from the negative plate reaches a speed v= 1.33 x 10^6 m/s halfwaybetween the two plates. a. What is the electric potential of this capacitor? b. How much charge is on each plate?A certain parallel-plate capacitor is filled with a dielectric for which K = 4.16. The area of each plate is 0.0461 m², and the plates are separated by 2.64 mm. The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 219 kN/C. What is the maximum energy that can be stored in the capacitor? Number i 1.07E-3 Units J
- What potential difference is needed to accelerate an electron from rest to a speed of 1.2x106 m/s? Express your answer to two significant figures and include the appropriate units. μÅ AV= Value Submit Request Answer Ć Units ?A parallel-plate capacitor has a plate separation of 1.5 mm and is charged to 400 V. 1) If an electron leaves the negative plate, starting from rest, how fast is it going when it hits the positive plate? (Express your answer to two significant figures.)3- A positive charge q is uniformly distributed over the area of a disk, of radius R, placed horizontally on the x-y plane as shown in the figure. a) Find an expression for the charge density o. b) Find an expression for the electric potential at a point P on the axis passing through the center of the disk and at a distance z from its center. c) Check that your formula is consistent with what you would expect for the case when z →± ∞ R dr 10 r √² + z² Hint: Divide the disk into ring shaped elements, each of area da = 2ër dr, then integrate over r (from r=0 till r=R).
- The electric potential increases from 100 V to 800 V from the bottom plate to the top plate of a parallel-plate capacitor. a. What is the magnitude of the change in potential energy of a −3 × 10^−4 C charge that is moved from the bottom plate to the top plate? b. Does the potential energy increase or decrease in this process?If you place a test charge 9.01 x 108 m away from a source charge of 1.11 x 103 C, how much electric potential does the test charge have? O A. 1.107289678 x 1014 V O B. 1.231964484 x 1010 v O C. 1.107289678 x 1020 V O D. 1.231964484 x 104 VIn the figure, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate. a. Show that this is insufficient speed to reach the positive plate. b. What is the proton’s speed as it collides with the negative plate?