![Given the following charge distribution in 3-dimensinal space: in [C/m3] and a 2 meters otherwise A) (15 points) Find the electric field intensity forr < a and for r>a B) (10 points) what is the force experienced by an electron located at a distance 4 meters away from the center of this charge distribution?](http://img.homeworklib.com/questions/404855e0-7d0f-11eb-a9b9-236dd438d7b4.png?x-oss-process=image/resize,w_560)
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Gauss law and electrical force
Given the following charge distribution in 3-dimensinal space: in [C/m3] and...
Q1.(25pts) A nonuniform volume charge distribution with density p,= 100 C/m3 , lies within the spherical region of...
Q1.(25pts) A nonuniform volume charge distribution with density p,= 100 C/m3 , lies within the spherical region of radius a 0.2m in free space. a) Find the electric field intensity at a point outside the charge region. (9pts) b) Find the potential at the surface of the spherical charge region. (9pts) c) Determine the force acting on a charge of 10 Coulombs located at Px(5m, 90°, 90°), Indicate the position and orientation of the force vector on the sketch below....
For Gauss' law where is the Electric field evaluated? O All points in space The center...
For Gauss' law where is the Electric field evaluated? O All points in space The center of the charge distribution At an arbitrary point in space On the Gaussian surface o It depends on the symmetry An arbitrarily shaped uncharged conductor is added to a field map. Which field lines are affected by the addition of the conductor? No field lines are affected Only field lines that intersect the conductor are affected Most field lines are somewhat affected
An electric field can be created by a single charge or a distribution of charges. The...
An electric field can be created by a single charge or a distribution of charges. The electric field a distance from a point charge has magnitude E = k|q'|/r^2. The electric field points away from positive charges and toward negative charges. A distribution of charges creates an electric field that can be found by taking the vector sum of the fields created by individual point charges. Note that if a charge is placed in an electric field created by q',...
The potential in a region of space due to a charge distribution is given by the...
The potential in a region of space due to a charge distribution is given by the expression V = ax2z + bxy − cz2 where a = −9.00 V/m3, b = 2.00 V/m2, and c = 8.00 V/m2. What is the electric field vector at the point (0, −9.00, −8.00) m? Express your answer in vector form. E=_____________________________
The potential in a region of space due to a charge distribution is given by the...
The potential in a region of space due to a charge distribution is given by the expression V = ax^2z + bxy − cz^2 where a = −9.00 V/m3, b = 3.00 V/m2, and c = 6.00 V/m2. What is the electric field vector at the point (0, −6.00, −8.00) m? Express your answer in vector form
V = 3. The potential in a region of space due to a charge distribution is...
V = 3. The potential in a region of space due to a charge distribution is given by the expression ax?z + bxy - cz? where a = -9.00 V/m3, b = 9.00 V/m², and c = 6.00 V/m2. What is the electric field vector at the point (0, -9.00, -8.00) m? Express your answer in vector form.
Problem 3 - Electric force and Electric field A charge Q1 = +9uC is located at...
Problem 3 - Electric force and Electric field A charge Q1 = +9uC is located at the origin and a second charge Q2 = -4°C is placed at x = 8 m. a) [6 points) What will be the force (magnitude and direction) if you place a +16 C charge midway between the Qi and Q2? lu = 10-6, Coulomb's constant k = 9.0 x 10°N • m2/C2 b) [7 points] Calculate the net electric field (magnitude and direction) at...
question 2 added for reference; this is about question 3 2. Dipole-dipole force The charge distribution...
question 2 added for reference; this is about question 3
2. Dipole-dipole force The charge distribution where two equal but opposite charges are separated by a fixed distance δ is called a dipole and is very common and important in nature Consider two dipoles, each consisting of charges tq separated by a distance 6. The axes of two dipoles are parallel and their midpoints are separated by a distance r. One is inverted compared to the other. See the figure....
6. (10 points Extra Credit) Electrodynamics is not the only subject that utilizes Gauss' Law. We can also use it to study Newtonian gravity. The acceleration due to gravity (9can be written as, w...
6. (10 points Extra Credit) Electrodynamics is not the only subject that utilizes Gauss' Law. We can also use it to study Newtonian gravity. The acceleration due to gravity (9can be written as, where G is Newton's gravitational constant and ρ is the m ass density. This leads us to the usual formulation of Newton's universal law of gravity,或刃--GM(f/r, as expected (if we assume V xğ-0). This "irrotational" condition allows us write (in analogy to the electric field), --Vo and...
Q1.(25pts) A nonuniform volume charge distribution with density p,= 100 C/m3 , lies within the spherical region of radius a 0.2m in free space. a) Find the electric field intensity at a point outside the charge region. (9pts) b) Find the potential at the surface of the spherical charge region. (9pts) c) Determine the force acting on a charge of 10 Coulombs located at Px(5m, 90°, 90°), Indicate the position and orientation of the force vector on the sketch below....
For Gauss' law where is the Electric field evaluated? O All points in space The center of the charge distribution At an arbitrary point in space On the Gaussian surface o It depends on the symmetry An arbitrarily shaped uncharged conductor is added to a field map. Which field lines are affected by the addition of the conductor? No field lines are affected Only field lines that intersect the conductor are affected Most field lines are somewhat affected
V = 3. The potential in a region of space due to a charge distribution is given by the expression ax?z + bxy - cz? where a = -9.00 V/m3, b = 9.00 V/m², and c = 6.00 V/m2. What is the electric field vector at the point (0, -9.00, -8.00) m? Express your answer in vector form.
Problem 3 - Electric force and Electric field A charge Q1 = +9uC is located at the origin and a second charge Q2 = -4°C is placed at x = 8 m. a) [6 points) What will be the force (magnitude and direction) if you place a +16 C charge midway between the Qi and Q2? lu = 10-6, Coulomb's constant k = 9.0 x 10°N • m2/C2 b) [7 points] Calculate the net electric field (magnitude and direction) at...
question 2 added for reference; this is about question 3
2. Dipole-dipole force The charge distribution where two equal but opposite charges are separated by a fixed distance δ is called a dipole and is very common and important in nature Consider two dipoles, each consisting of charges tq separated by a distance 6. The axes of two dipoles are parallel and their midpoints are separated by a distance r. One is inverted compared to the other. See the figure....
6. (10 points Extra Credit) Electrodynamics is not the only subject that utilizes Gauss' Law. We can also use it to study Newtonian gravity. The acceleration due to gravity (9can be written as, where G is Newton's gravitational constant and ρ is the m ass density. This leads us to the usual formulation of Newton's universal law of gravity,或刃--GM(f/r, as expected (if we assume V xğ-0). This "irrotational" condition allows us write (in analogy to the electric field), --Vo and...
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