In physics work refers to the energy transferred to, or extracted from a system due to...
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In physics "work" refers to the energy transferred to, or extracted from a system due to the action of an external force on the system. Students who took PHSI 131 are familiar with this concept, but for those who did not, we define the work done by a force when a particle is moved from positions to s, along some specified path as: W = F-da (1) where W is the work done by the force F, and ds is an infinitesimal path element, and the integral is evaluated along the specified path. Now consider the electrostatic field around a seed positive point charge at the origin that in the ry-plane is given by: E- ° ( (2² + 1/²3/2 ² + (2) (²+²) where I is a unit vector pointing in the z-direction, j a unit vector pointing in the y-direction and a = 1.0 J m / C. Consider moving a second positive charge of Q = +1.0 C from the coordinates (zo. 10) = (1,0) m to (22,12)=(2,1) m. Calculate the work required to move the charge Q from (ro. 30) to (22.2) by: (i) first considering moving the charge Q quasi-statically along a straight line along the z-axis from (zo.to)= (1,0) m to (₁,1)=(2,0) m (ii) then considering moving the charge Q quasi-statically along a straight line parallel to the V-axis from (₁,₁)=(2,0) m to (2. y) = (2,1) m In physics "work" refers to the energy transferred to, or extracted from a system due to the action of an external force on the system. Students who took PHSI 131 are familiar with this concept, but for those who did not, we define the work done by a force when a particle is moved from positions to s, along some specified path as: W = F-da (1) where W is the work done by the force F, and ds is an infinitesimal path element, and the integral is evaluated along the specified path. Now consider the electrostatic field around a seed positive point charge at the origin that in the ry-plane is given by: E- ° ( (2² + 1/²3/2 ² + (2) (²+²) where I is a unit vector pointing in the z-direction, j a unit vector pointing in the y-direction and a = 1.0 J m / C. Consider moving a second positive charge of Q = +1.0 C from the coordinates (zo. 10) = (1,0) m to (22,12)=(2,1) m. Calculate the work required to move the charge Q from (ro. 30) to (22.2) by: (i) first considering moving the charge Q quasi-statically along a straight line along the z-axis from (zo.to)= (1,0) m to (₁,1)=(2,0) m (ii) then considering moving the charge Q quasi-statically along a straight line parallel to the V-axis from (₁,₁)=(2,0) m to (2. y) = (2,1) m
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Related Book For
Intermediate Accounting
ISBN: 978-0324592375
17th Edition
Authors: James D. Stice, Earl K. Stice, Fred Skousen
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