Consider an infinite line of charge. Specifically develop an expression for the difference in electrical potential...
Consider an infinite line of charge. Specifically develop 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 an 8 cm section of this infinite line, it contains a charge of 3 x 10 ^ -6 C, what will be the electric potential of a point 5 cm from the line if you consider the electric potential 30 cm from the same line is "zero"?
Homework Answers
The electric potential at 5 cm is 1.21 x 106V
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Consider an infinite line of charge. Specifically develop an
expression for the difference in electrical potential...
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...
Consider an infinite line of loading. Develop in detail an expression for the electrical potential difference...
Consider an infinite line of loading. Develop in detail an expression for the electrical potential difference between two points that are at different distances from your axis. The distance b is greater than the distance a (b>a). Both distances are radial. Now, consider that an 8 cm section of this infinite line, contains a load of 3 x 10-6 C, What will be the electrical potential of a point 5 cm from the line if the electrical potential 30 cm...
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.
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.
An infinite line charge of linear charge density 1.5 x 10-6 C/m (Coulombs per meter) lies...
An infinite line charge of linear charge density 1.5 x 10-6 C/m (Coulombs per meter) lies on the z axis. The potential is zero at a radial distance of 2.5 m from the wire. I.e. V(r=2.5) = 0. Given this, find the potential at a radial distance r = 2.0 m from the wire. Group of answer choices 4500 V -6025 V -1.27 x 104 V 0 V +1.27 x 104 V + 6025 V
L(a) A long (L>> a) cylinder in vacuum has a line charge density p is shown...
L(a) A long (L>> a) cylinder in vacuum has a line charge density p is shown below, (). State the Gauss's law for electric field in words. [1) (i). In order to calculate the electric field inside the cylinder using Gauss's Law, draw an appropriate Gaussian surface in the cylinder. [1] (i). Use the above information or otherwise, show that the electric field in the radial direction Pt inside the cylinder is ,2a (assume that the charge is evenly distributed...
1.1 1.2 1 INFINITE WIRE Consider an infinite line of charge with charge per unit length...
1.1 1.2
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.
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,...
6. Consider a line charge with uniform charge density λ lying on the x-axis from x...
6. Consider a line charge with uniform charge density λ lying on the x-axis from x =-L to x = 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). Pi C-I b) In lecture you saw the electric field of an infinite line charge. Now we wil consider a "semi-infinite" line...
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L...
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...
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.
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.
L(a) A long (L>> a) cylinder in vacuum has a line charge density p is shown below, (). State the Gauss's law for electric field in words. [1) (i). In order to calculate the electric field inside the cylinder using Gauss's Law, draw an appropriate Gaussian surface in the cylinder. [1] (i). Use the above information or otherwise, show that the electric field in the radial direction Pt inside the cylinder is ,2a (assume that the charge is evenly distributed...
1.1 1.2
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.
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,...
6. Consider a line charge with uniform charge density λ lying on the x-axis from x =-L to x = 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). Pi C-I b) In lecture you saw the electric field of an infinite line charge. Now we wil consider a "semi-infinite" line...
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...
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