1.1 1.2Homework Answers
By coulomb law
E= kq/r2
Thats how we can find E for infinitesimal part and then integrate it to infinity
For gauss law
Integration of E.da over Gaussian surface = Q/ epsilon not
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1.1 1.2
1 INFINITE WIRE Consider an infinite line of charge with charge per unit length...
1 INFINITE WIRE Consider an infinite line of charge with charge per unit length λ. Calculate...
1 INFINITE WIRE Consider an infinite line of charge with charge per unit length λ. Calculate the electric field a distance z away from the wire. Namely z is the distance to the closest point on the wire. We will calculate this electric field in two different ways. 1.1 20 POINTS Calculate it using Coulomb's Law. 1.2 15 POINTS Calculate it using Gauss' Law.
INFINITE WIRE Consider an infinite line of charge with charge per unit length A. Calculate the...
INFINITE WIRE Consider an infinite line of charge with charge per unit length A. Calculate the electric field a distance z away from the wire. Namely z is the distance to the closest point on the wire. We will calculate this electric field in two different ways. 1.1 20 POINTS Calculate it using Coulomb's Law. 1.2 15 POINTS Calculate it using Gauss' Law.
Qa 2 A semi-infinite line of charge of charge per unit length 1 is placed on...
Qa 2 A semi-infinite line of charge of charge per unit length 1 is placed on the positive î-axis. A semicircular arc of charge of radius a is joined to it at the origin, with its centre on the ġ-axis, at a distance a away, as shown. The total charge on the semicircle is Q. a. [5 points] Determine the electric field at a point i = yỹ (y > 0) due to the straight line. b. [3 points] Show...
3. Consider a "line of charge", where the positive charge per unit length is 1 (in...
3. Consider a "line of charge", where the positive charge per unit length is 1 (in C/m) and the line is "infinitely long". a) Draw the line of charge horizontally on the page. Attempt to draw the E field lines around the line of charge. b) Draw a point on the page that is acting as the cross-section of the line of charge exiting the page. Attempt to draw the electric field lines around the line of charge. c) Choose...
Question: Consider one infinitely long straight wire with a uniform charge density of 1C/m. Sketch the...
Question: Consider one infinitely long straight wire with a uniform charge density of 1C/m. Sketch the electric field around the wire Question: In the above problem, calculate the magnitude of the electric field at a distance R from the wire. How is it different (if any)from the field of a point charge? Question: Consider two infinite wires 1 m apart with a uniform charge density per unit length 1 C/m. Calculate the force per unit length between the wires. To...
Figure 5. 1 m Please read the Lab manual(workbook1) Consider an infinite line of charge with...
Figure 5. 1 m Please read the Lab manual(workbook1) Consider an infinite line of charge with the uniform charge density λ of πΕ。in units of of at the distance of 1 m away from the line of charge (See the above figure) ?(k . What is the magnitude of the electric field in units 4πεο
1.1 1.2 1.3 1 CIRCULAR DISK Com sdke a le r . 1.1 5 POINTS Set...
1.1 1.2 1.3
1 CIRCULAR DISK Com sdke a le r . 1.1 5 POINTS Set up a coordinate system with the centre of the disk at the origin. 1.2 15 POINTS Calculate the electric field a distance z above the centre of the disk. 1.3 10 POINTS How does this compare to the electric field a distance z above the centre of a rod of length 2R with the same total charge?
6. Consider a line charge with uniform charge density λ lying on the x-axis from z...
6. Consider a line charge with uniform charge density λ lying on the x-axis from z =-L to 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). P2 b) In lecture you saw the electric field of an infinite line charge. Now we will consider a "semi-infinite" line charge; that is,...
1) Consider Fig. 12, which shows an infinite line of charge which contains a uniform charge...
1) Consider Fig. 12, which shows an infinite line of charge which contains a uniform charge of a coulombs in every meter. You will now use Gauss' Law to derive an equation for the electric field around a line of charge. Fig. 12 Describe the electric field in the region surrounding the charge. (Draw a few sample lines) Is this electric field symmetrical (spherically, cylindrically... Using this information, choose a notional surface enclosing one meter of the line of charge...
Consider an infinite line of charge. Develop in detail an expression for the difference in electrical...
Consider an infinite line of charge. Develop in detail an expression for the difference in electrical potential between two points that are at different distances from their axis. The distance b being greater than the distance a (b> a). Both distances are radial. Now, consider that an 8 cm section of this infinite line contains a charge of 3 x 10 ^ -6 C, what will be the electric potential of a point 5 cm from the line if we...
1 INFINITE WIRE Consider an infinite line of charge with charge per unit length λ. Calculate the electric field a distance z away from the wire. Namely z is the distance to the closest point on the wire. We will calculate this electric field in two different ways. 1.1 20 POINTS Calculate it using Coulomb's Law. 1.2 15 POINTS Calculate it using Gauss' Law.
INFINITE WIRE Consider an infinite line of charge with charge per unit length A. Calculate the electric field a distance z away from the wire. Namely z is the distance to the closest point on the wire. We will calculate this electric field in two different ways. 1.1 20 POINTS Calculate it using Coulomb's Law. 1.2 15 POINTS Calculate it using Gauss' Law.
Qa 2 A semi-infinite line of charge of charge per unit length 1 is placed on the positive î-axis. A semicircular arc of charge of radius a is joined to it at the origin, with its centre on the ġ-axis, at a distance a away, as shown. The total charge on the semicircle is Q. a. [5 points] Determine the electric field at a point i = yỹ (y > 0) due to the straight line. b. [3 points] Show...
3. Consider a "line of charge", where the positive charge per unit length is 1 (in C/m) and the line is "infinitely long". a) Draw the line of charge horizontally on the page. Attempt to draw the E field lines around the line of charge. b) Draw a point on the page that is acting as the cross-section of the line of charge exiting the page. Attempt to draw the electric field lines around the line of charge. c) Choose...
Figure 5. 1 m Please read the Lab manual(workbook1) Consider an infinite line of charge with the uniform charge density λ of πΕ。in units of of at the distance of 1 m away from the line of charge (See the above figure) ?(k . What is the magnitude of the electric field in units 4πεο
1.1 1.2 1.3
1 CIRCULAR DISK Com sdke a le r . 1.1 5 POINTS Set up a coordinate system with the centre of the disk at the origin. 1.2 15 POINTS Calculate the electric field a distance z above the centre of the disk. 1.3 10 POINTS How does this compare to the electric field a distance z above the centre of a rod of length 2R with the same total charge?
6. Consider a line charge with uniform charge density λ lying on the x-axis from z =-L to 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). P2 b) In lecture you saw the electric field of an infinite line charge. Now we will consider a "semi-infinite" line charge; that is,...
1) Consider Fig. 12, which shows an infinite line of charge which contains a uniform charge of a coulombs in every meter. You will now use Gauss' Law to derive an equation for the electric field around a line of charge. Fig. 12 Describe the electric field in the region surrounding the charge. (Draw a few sample lines) Is this electric field symmetrical (spherically, cylindrically... Using this information, choose a notional surface enclosing one meter of the line of charge...
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