QUESTION 5 Suppose an electron (q = - e= - 1.6 x 10¬19 C,m=9.1 ×10- -31 kg) is accelerated from rest through a potential difference of Vab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant figures. The potential energy U is related to the electron charge (-e) and potential Vab is related by the equation: U = Assuming all potential energy U is converted to kinetic energy K, K+ U = 0 K = -U 1 mv and using the formula for potential energy above, we arrive at an equation for speed: Since K = v = ( 1/2 Plugging in values, the value of the electron's speed is: x 107 m/s v=

QUESTION 5 Suppose an electron (q = - e= - 1.6 x 10¬19 C,m=9.1 ×10- -31 kg) is accelerated from rest through a potential difference of Vab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant figures. The potential energy U is related to the electron charge (-e) and potential Vab is related by the equation: U = Assuming all potential energy U is converted to kinetic energy K, K+ U = 0 K = -U 1 mv and using the formula for potential energy above, we arrive at an equation for speed: Since K = v = ( 1/2 Plugging in values, the value of the electron's speed is: x 107 m/s v=

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electric Potential

Section: Chapter Questions

Problem 1P: How much work is done (by a battery, generator, or some other source of potential difference) in...

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An electron is at the origin, (a) Calculate the electric potential VA at point A, x = 0.250 cm. (b) Calculate the electric potential VB at point B, x = 0.750 cm. What is the potential difference VB VA? (c) Would a negatively charged particle placed at point A necessarily go through this same potential difference upon reaching point B? Explain.
(a) Find the electric potential difference Ve required to stop an electron (called a stopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude of electric potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential. Vp/Ve.
The naturally occurring charge on the ground on a fine day out in the open country is -1.00nC/m2. (a) What is the electric field relative to ground at a height of 3.00 m? (b) Calculate the electric potential at this height. (C) Sketch electric field and equipotential lines for this scenario.
An electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its speed is reduced to 1.40 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?
A spherical balloon contains a positively charged object at its center. (i) As the balloon is inflated to a greater volume while the charged object remains at the center, does the electric potential at the surface of the balloon (a) increase, (b) decrease, or (c) remain the same? (ii) Does the electric flux through the surface of the balloon (a) increase, (b) decrease, or (c) remain the same?
A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?
How much work is done (by a battery, generator, or some other source of potential difference) in moving Avogadros number of electrons from an initial point where the electric potential is 9.00 V to a point where the electric potential is 5.00 V? (The potential in each case is measured relative to a common reference point.)
Review. In fair weather, the electric field in the air at a particular location immediately above the Earth's surface is 120 N/C directed downward, (a) What is the surface charge density on the ground? Is it positive or negative? (b) Imagine the surface charge density is uniform over the planet. What then is the charge of the whole surface of the Earth? (c) What is the Earths electric potential due to this charge? (d) What is the difference in potential between the head and the feet of a person 1.75 m tall? (Ignore any charges in the atmosphere.) (e) Imagine the Moon, with 27.3% of the radius of the Earth, had a charge 27.3% as large, with the same sign. Find the electric force the Earth would then exert on the Moon, (f) State how the answer to part (e) compares with the gravitational force the Earth exerts on the Moon.
Can a particle move in a direction of increasing electric potential, yet have its electric potential energy decrease? Explain
An electron is released from rest in a uniform electric field. Determine whether the following quantities increase, decrease, or remain unchanged as the electron moves. Indicate your answers with I (increase), D (decrease), or U (unchanged), respectively. (a) The electric potential at the electrons location (b) The electrons associated electric potential energy (c) Its kinetic energy (d) Its total energy.
(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0 C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?
A proton is released from rest in a uniform electric field. Determine whether the following quantities increase, decrease, or remain unchanged as the proton moves. Indicate your answers with I (increase), D (decrease), or U (unchanged), respectively. (a) The electric potential at the protons location (b) The protons associated electric potential energy (c) Its kinetic energy (d) Its total energy.