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A system with a point charge at the origin with charge +Q is surrounded by a spherical dielectric shell with dielectric constant κ= 2.0. Select the figure below that correctly represents the electric field map for the system.
a) Figure a
b) Figure b
c) Figure c
Homework Answers
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1)
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A system with a point charge at the origin with charge +Q is...
1) A system with a point charge at the origin with charge +Q is surrounded by...
1)
A system with a point charge at the origin with charge +Q is
surrounded by a spherical dielectric shell with dielectric constant
κ= 2.0. Select the figure below that correctly represents the
electric field map for the system.
a) Figure a
b) Figure b
c) Figure c
2)
a
6.64x10-10 C/m2
b
0
c
-1.18x10-13 C/m2
d
1.18x10-13 C/m2
e
-6.64x10-10 C/m2
Figure (a) Figure (b) + Dielectric Dielectric Figure (C) Dielectric The electric field is drawn to the...
1) 2) 3) The figure shows three particles with charges Q1 and Q2 with the electric...
1)
2)
3)
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given the field map to the right, the dashed box contains all the charge generating the field. Is the long range field that of a monopole or a dipole? Monopole O Dipole Both a monopole and a dipole Select the inequality for the potential at the points A,...
Problem Two: In the diagram below a point charge -Q is at the origin. It is...
Problem Two: In the diagram below a point charge -Q is at the origin. It is surrounded by a spherical conducting shell of inner radius a and outer radius b. Answer the following in terms of quantities given or a subset thereof. -a (a) What is the electric field for r< a?
spherical shell inner sphere A sphere (carrying charge -3q) is surrounded by a spherical shell (carrying...
spherical shell inner sphere A sphere (carrying charge -3q) is surrounded by a spherical shell (carrying charge +a). Which statement is correct? The electric field in between the sphere and the shell is equal to O The electric field in between the sphere and the shell does not depend on the charge of the spherical shell. The electric field outside of the spherical shell is equivalent to the electric field for a point charge of -2q a) and c) b)...
3. A point charge Q = 4 x 10-9 C is located at the origin. A...
3. A point charge Q = 4 x 10-9 C is located at the origin. A spherical shell of dielectric material with &r = 3 is located between radii r=a and r=b, where a = 1 mm and b = 2 mm, while a second shell with material having Er = 5 is located between radii r=b and r=c, where c = 4 mm. Find numerical values for the magnitudes of the E-field, the D-field, and the polarization P at...
Consider a thick spherical conducting shell with NO net charge. A point charge +Q is placed...
Consider a thick spherical
conducting shell with NO net charge. A point charge +Q is placed at
its center as shown in the figure.
True or False for the following statements.
1) The electric field at c is zero.
2) The electric field at e is zero.
3) The inner surface of the shell carries a charge -Q.
4) The electric field at a is zero.
(please show work! thanks!)
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1;...
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
The figure at right shows a 2D cross-section of a charge arrangement containing a point charge...
The figure at right shows a 2D cross-section of a charge arrangement containing a point charge +Q surrounded by an uncharged spherical metallic shell with inner radius R and outer radius R2. Your goal is to use Gauss' Law to find out the magnitude of the electric field at the points A and B that are located at distances RA and RB from the center of the sphere as shown in the figure. You will also use Gauss' Law to...
In the figure particle 1 of charge q1 = -7.52q and particle 2 of charge q2...
In the figure particle 1 of charge q1 = -7.52q and particle 2 of charge q2 = +3.82q are fixed to an x axis. As a multiple of distance L, at what coordinate on the axis is the net electric field of the particles zero? figure is just a straight line from q1 at the origin some distance L from q2
Problem 4 A point charge -q is located at the origin. The point charge is surrounded...
Problem 4 A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at o using Coulomb's law for V. (i.e. do not find the electric field first.) b) Use E= -VV to calculate the electric field along the z-axis....
1)
A system with a point charge at the origin with charge +Q is
surrounded by a spherical dielectric shell with dielectric constant
κ= 2.0. Select the figure below that correctly represents the
electric field map for the system.
a) Figure a
b) Figure b
c) Figure c
2)
a
6.64x10-10 C/m2
b
0
c
-1.18x10-13 C/m2
d
1.18x10-13 C/m2
e
-6.64x10-10 C/m2
Figure (a) Figure (b) + Dielectric Dielectric Figure (C) Dielectric The electric field is drawn to the...
1)
2)
3)
The figure shows three particles with charges Q1 and Q2 with the electric field lines shown. What is the ratio of Q1/Q2? O 1:4 O 1:1 08:4 2:4 04:1 Given the field map to the right, the dashed box contains all the charge generating the field. Is the long range field that of a monopole or a dipole? Monopole O Dipole Both a monopole and a dipole Select the inequality for the potential at the points A,...
Problem Two: In the diagram below a point charge -Q is at the origin. It is surrounded by a spherical conducting shell of inner radius a and outer radius b. Answer the following in terms of quantities given or a subset thereof. -a (a) What is the electric field for r< a?
spherical shell inner sphere A sphere (carrying charge -3q) is surrounded by a spherical shell (carrying charge +a). Which statement is correct? The electric field in between the sphere and the shell is equal to O The electric field in between the sphere and the shell does not depend on the charge of the spherical shell. The electric field outside of the spherical shell is equivalent to the electric field for a point charge of -2q a) and c) b)...
3. A point charge Q = 4 x 10-9 C is located at the origin. A spherical shell of dielectric material with &r = 3 is located between radii r=a and r=b, where a = 1 mm and b = 2 mm, while a second shell with material having Er = 5 is located between radii r=b and r=c, where c = 4 mm. Find numerical values for the magnitudes of the E-field, the D-field, and the polarization P at...
Consider a thick spherical
conducting shell with NO net charge. A point charge +Q is placed at
its center as shown in the figure.
True or False for the following statements.
1) The electric field at c is zero.
2) The electric field at e is zero.
3) The inner surface of the shell carries a charge -Q.
4) The electric field at a is zero.
(please show work! thanks!)
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
The figure at right shows a 2D cross-section of a charge arrangement containing a point charge +Q surrounded by an uncharged spherical metallic shell with inner radius R and outer radius R2. Your goal is to use Gauss' Law to find out the magnitude of the electric field at the points A and B that are located at distances RA and RB from the center of the sphere as shown in the figure. You will also use Gauss' Law to...
Problem 4 A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at o using Coulomb's law for V. (i.e. do not find the electric field first.) b) Use E= -VV to calculate the electric field along the z-axis....
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