(a) Imagine a gaussian sphere of radius R with an electron at the center. Write down...
(a) Imagine a gaussian sphere of radius R with an electron at the center. Write down the total flux through the sphere (including the sign) in terms of physical constants and R. (b) Suppose we place a proton a distance 2R from the electron. What is the flux through the original gaussian sphere? (c) How do your answers to parts (a) and (b) change if we replace the gaussian sphere with a cube of width 2R? (d) How do your answers to parts (a) and (b) change if we replaced the original gaussian sphere with a cube of width 6R instead?
Homework Answers
Flux doesnt depends on dimensions of the surface, only electric field depends
Hence we can solve as
Add Answer to:
(a) Imagine a gaussian sphere of radius R with an electron at
the center. Write down...
2 There is a certain net flux ®; through a Gaussian sphere of radius r enclosing...
2 There is a certain net flux ®; through a Gaussian sphere of radius r enclosing an isolated charged particle. Suppose the enclosing Gaussian surface is changed to a larger Gaussian sphere, is the net flux through the new Gaussian surface greater than, less than, or equal to ;? (10.01) A greater than equal to C cannot decide D less than O A B O D
AP Physics C FRQ 3. A sphere of mass m and radius r is released from...
AP Physics C FRQ
3. A sphere of mass m and radius r is released from rest at the top of a curved track of height H. The sphere travels down the curved track and around a loop of radius R. The sphere rolls without slipping during the entire motion. Point A on the loop is at height R, and point B is at the top of the loop. The rotational inertia of the sphere is 2mr2/s. Express all of...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the center of a conducting hollow sphere of inner radius 3R and outer radius 4R. The hollow sphere has charge -2q. Take the origin as the center of the spheres. Take the potential at infinity as zero. a) Calculate Q if the electric potential at r = 2R is zero. b) Suppose that a conducting thin wire is connected between the spheres. How much electron...
An electric flux produced by a point charge q though sphere of radius r is фо(E)....
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
6. 1/4 points | Previous Answers SerPSE10 24.3.OP007 My Notes Ask Your Teacher A small sphere...
6. 1/4 points | Previous Answers SerPSE10 24.3.OP007 My Notes Ask Your Teacher A small sphere has a charge of q-2e, where e is the charge on an electron. (a) Determine the electric potential (in V) due to the charge at a distance r 0.330 cm from the charge. (b) Determine the electric potential difference (in V) between a point that is 2r away and this point, that is v2r) - v). o Determine the electric potential difference (in V)...
Imagine that we have two solenoids. Solenoid 1 has Nį loops, a length li, and a...
Imagine that we have two solenoids. Solenoid 1 has Nį loops, a length li, and a radius ai, while solenoid 2 has N2 loops, a length l2, and a radius a2. Assume that l2 <lı and a2 > a1. The solenoids are arranged as shown (here we just show the cross-section in the page, but both consist of full, circular loops). For parts a-d, treat the solenoids as ideal. a. [4 points] If a current 12 flows in solenoid 2,...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.A) Calculate its translational speed when it reaches the bottom.B) Calculate its rotational speed when it reaches the bottom. C) What is the ratio of translational to rotational kinetic energy at the bottom? D) Avoid putting in numbers until the end so you can answer: do your...
What is the difference in between conductor and insulators? Write with necessany figures and examples of...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...
What is the difference in between conductor and insulators? Write with necessany figures and examples of...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
2 There is a certain net flux ®; through a Gaussian sphere of radius r enclosing an isolated charged particle. Suppose the enclosing Gaussian surface is changed to a larger Gaussian sphere, is the net flux through the new Gaussian surface greater than, less than, or equal to ;? (10.01) A greater than equal to C cannot decide D less than O A B O D
AP Physics C FRQ
3. A sphere of mass m and radius r is released from rest at the top of a curved track of height H. The sphere travels down the curved track and around a loop of radius R. The sphere rolls without slipping during the entire motion. Point A on the loop is at height R, and point B is at the top of the loop. The rotational inertia of the sphere is 2mr2/s. Express all of...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the center of a conducting hollow sphere of inner radius 3R and outer radius 4R. The hollow sphere has charge -2q. Take the origin as the center of the spheres. Take the potential at infinity as zero. a) Calculate Q if the electric potential at r = 2R is zero. b) Suppose that a conducting thin wire is connected between the spheres. How much electron...
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
6. 1/4 points | Previous Answers SerPSE10 24.3.OP007 My Notes Ask Your Teacher A small sphere has a charge of q-2e, where e is the charge on an electron. (a) Determine the electric potential (in V) due to the charge at a distance r 0.330 cm from the charge. (b) Determine the electric potential difference (in V) between a point that is 2r away and this point, that is v2r) - v). o Determine the electric potential difference (in V)...
Imagine that we have two solenoids. Solenoid 1 has Nį loops, a length li, and a radius ai, while solenoid 2 has N2 loops, a length l2, and a radius a2. Assume that l2 <lı and a2 > a1. The solenoids are arranged as shown (here we just show the cross-section in the page, but both consist of full, circular loops). For parts a-d, treat the solenoids as ideal. a. [4 points] If a current 12 flows in solenoid 2,...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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