Homework Answers
A line of charge has a length L, and a total charge of +0 distributed uniformly...
A line of charge has a length L, and a total charge of +0 distributed uniformly on it. Calculate the electric field due to this line at the point P as shown on the figure 0. Choose a set of coordinates for this problem. Draw the coordinates on the figure. Think about how you intend to integrate over this shape. 1. What is the linear charge density lambda on the ring, in terms of the given parameters? 2. What is...
Q1. A curved plastic rod of charge+Q forms a semi-circle of radius R in the x-y...
Q1. A curved plastic rod of charge+Q forms a semi-circle of radius R in the x-y plane, as shown below on the left. The charge is distributed uniformly across the rod. dQ +Q +Q Now let's analytically determine the magnitude and direction of the electric field E at the center of the circle using polar coordinates and the charge element dQ shown in the image on the right Write down an expression for the electric field dE at the center...
Score: PHYS 421 HMK Problem 1.17& 1.18 Continuous Charge Distribution Section: Due date: Tuesday, February 20,...
Score: PHYS 421 HMK Problem 1.17& 1.18 Continuous Charge Distribution Section: Due date: Tuesday, February 20, 2018 at 12:10 PM Bring it done to class. It will be colected at the start of class. This one counts double: It will be recorded twice, as Ph 1,17 and Po 1.18 100 Here is a semi-infinite rod of total negative charge Q, uniformly distributed along its length. Semi-infinite means it extends to infinity only on one Let the left edge of the...
Problem 1 A curved plastic rod of charge +Q forms a semi-circle of radius R in...
Problem 1 A curved plastic rod of charge +Q forms a semi-circle of radius R in the x-y plane, as shown below on the left. The charge is distributed uniformly across the rod. dQ +0 +Q Now let's analytically determine the magnitude and direction of the electric field E at the center of the circle using polar coordinates and the charge element dQ shown in the image on the right. write down an expression for the electric field dE at...
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the...
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the electric field of a uniformly charged (thin) hoop. Our hoop has a charge Q uniformly distributed over a hoop with radius R, and is oriented perpendicular to the plane of the paper. We are interested in finding the electric field at the point P, a distance r away from the center of the hoop. See the figure below. do In your answers below, you...
A 3-D printer lays down a semicircular are of positively charged plastic with a radius R = 2.9 cm
Problem 14: A 3-D printer lays down a semicircular are of positively charged plastic with a radius R = 2.9 cm, and a linear charge density of 2 = +1.1 C/m. After the printer has finished the are, the stylus moves to the center of the are as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. Note the measurement of the angle e shown in the figure. Part (a) Input a symbolic expression...
1. A point charge +Q is located at the origin, and a point charge -Q is...
1. A point charge +Q is located at the origin, and a point
charge -Q is located at (x,y) = (0,L).
(a) Find the electric field at point P, which is a distance L
away from both +Q and -Q, as shown in the diagram. Express your
answer in unit vector notation using the coordinate system
given.
(b) A point charge -2Q is placed at point P. Find the Coulomb
force on the charge -2Q due to the other two...
A uniform circular ring of charge Q-5.00 HC and radius R 1.24 cm is located in...
A uniform circular ring of charge Q-5.00 HC and radius R 1.24 cm is located in the x-y plane, centered on the origin as shown in the figure What is the magnitude of the electric field, [(E)\vec] at the origin? The direction of the electric field, [(E)vec] at the origin? The electric field is zero O -Y Some other direction Submit Answer Tries o/5 what is the maqnitude of the electric field, [(E)\vec] at point P, located at z =...
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the...
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. The charge within a small volume dV is dq=ρdV. The integral of ρdV over the entire volume of the sphere is the total charge Q. Use this fact to determine the constant C in terms of Q and R. Hint: Let dV be a spherical shell of radius r and thickness dr. What...
RC-1A charge +Q is evenly distributed around a semicircle of radius R in the x-y plane...
RC-1A charge +Q is evenly distributed around a semicircle of radius R in the x-y plane as shown to the right. a) Use dq charge elements to explain why the net field at the center of the semicircle (the origin) has no y component. Use a drawing like the one shown in your explanation. b) Apply Coulomb's law to calculate the strength (magnitude) of the net electric field at the origin in terms of K, Q, R and any other...
A line of charge has a length L, and a total charge of +0 distributed uniformly on it. Calculate the electric field due to this line at the point P as shown on the figure 0. Choose a set of coordinates for this problem. Draw the coordinates on the figure. Think about how you intend to integrate over this shape. 1. What is the linear charge density lambda on the ring, in terms of the given parameters? 2. What is...
Q1. A curved plastic rod of charge+Q forms a semi-circle of radius R in the x-y plane, as shown below on the left. The charge is distributed uniformly across the rod. dQ +Q +Q Now let's analytically determine the magnitude and direction of the electric field E at the center of the circle using polar coordinates and the charge element dQ shown in the image on the right Write down an expression for the electric field dE at the center...
Score: PHYS 421 HMK Problem 1.17& 1.18 Continuous Charge Distribution Section: Due date: Tuesday, February 20, 2018 at 12:10 PM Bring it done to class. It will be colected at the start of class. This one counts double: It will be recorded twice, as Ph 1,17 and Po 1.18 100 Here is a semi-infinite rod of total negative charge Q, uniformly distributed along its length. Semi-infinite means it extends to infinity only on one Let the left edge of the...
Problem 1 A curved plastic rod of charge +Q forms a semi-circle of radius R in the x-y plane, as shown below on the left. The charge is distributed uniformly across the rod. dQ +0 +Q Now let's analytically determine the magnitude and direction of the electric field E at the center of the circle using polar coordinates and the charge element dQ shown in the image on the right. write down an expression for the electric field dE at...
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the electric field of a uniformly charged (thin) hoop. Our hoop has a charge Q uniformly distributed over a hoop with radius R, and is oriented perpendicular to the plane of the paper. We are interested in finding the electric field at the point P, a distance r away from the center of the hoop. See the figure below. do In your answers below, you...
1. A point charge +Q is located at the origin, and a point
charge -Q is located at (x,y) = (0,L).
(a) Find the electric field at point P, which is a distance L
away from both +Q and -Q, as shown in the diagram. Express your
answer in unit vector notation using the coordinate system
given.
(b) A point charge -2Q is placed at point P. Find the Coulomb
force on the charge -2Q due to the other two...
A uniform circular ring of charge Q-5.00 HC and radius R 1.24 cm is located in the x-y plane, centered on the origin as shown in the figure What is the magnitude of the electric field, [(E)\vec] at the origin? The direction of the electric field, [(E)vec] at the origin? The electric field is zero O -Y Some other direction Submit Answer Tries o/5 what is the maqnitude of the electric field, [(E)\vec] at point P, located at z =...
RC-1A charge +Q is evenly distributed around a semicircle of radius R in the x-y plane as shown to the right. a) Use dq charge elements to explain why the net field at the center of the semicircle (the origin) has no y component. Use a drawing like the one shown in your explanation. b) Apply Coulomb's law to calculate the strength (magnitude) of the net electric field at the origin in terms of K, Q, R and any other...
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