![Problem 4 [25 pts] Grader & Score Consider two circular disks centered on the origin so that when viewed from the side (i.e. the negative y-axis) they appear as bars in the diagram. Each disk has an area R2 and a positive charge Q. The disks are separated by a small distance s R so that the center of the top disk is located at<0,Q,s/2 > and the center of the bottom disk is at < 0,0, -s/2 >. Point B is far from the disks, ro » R, while Point A is close to the upper disk, zo «H A =< 0,0,20 > 2R A. [5 pts] By drawing arrows on the figure, indicate the directiou of the total electric field at locations A and B. B. [5 pts] Calculate the net electric field at the origin, (0,0,0).](http://img.homeworklib.com/questions/c1b65f40-75a2-11ea-9806-2185906e2b30.png?x-oss-process=image/resize,w_560)
![C. [10 pts Using an appropriate approximation, calculate the net electric field at point A, 〈0,0, 20). D. [5 pts] Using the appropriate approximation, calculate the net electric field at point B, (ro,0,0). (Hint: what simple distribution of charge do the two disks resemble at large distances?)](http://img.homeworklib.com/questions/c240b130-75a2-11ea-a24a-afc64a01863e.png?x-oss-process=image/resize,w_560)
Homework Answers
A. Electric field at point A is along z-axis. Electric field at point B is along x-axis.
B.its 0. By symmetry we can say that Electric field at centre is zero. Plates cancel out each others electric field.
C. 4kQ/R2
D. 2kQ/x02
k=9*10^9
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Problem 4 [25 pts] Grader & Score Consider two circular disks centered on the origin so...
4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of...
4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of radius R. The disks are perpendicular to the z-axis as shown, the first at z 0 with charge Qi, the second at z-a with charge Qr Assume the charge is distributed uniformly on the disks. Your job is to calculate the electric field along the z-axis. Disk at z = a, Radius R Charge Q Disk at z=0, Radius R Charge Q Making the...
A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
The figure shows three circular arcs centered at the origin of a coordinate system. On each...
The figure shows three circular
arcs centered at the origin of a coordinate system. On each arc,
the uniformly distributed charge is given in terms of Q = 2.83 µC.
The radii are given in terms of R = 10.1 cm. What are the (a)
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of the net electric field at the origin due to the arcs?
06+ We were unable to transcribe this image
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A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin.
A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin. (a) Derive a formula for the (z-directed) electric field E(z) at any point on the +z-axis, and graph this for-∞ < z < ∞ (indicate direction as ±; note E(-z) =-E(z). (b) At what value of z is E(z) maximal, and what is this maximum? (c) Sketch the field lines-note the bottleneck!
consider a thin semicircuilar ring centered at the origin and oriented in the x-y plane. the...
consider a thin semicircuilar ring centered at the origin and oriented in the x-y plane. the top and bottom quarters of the ring have +4.50pC and -4.50pC of charge uniformly distributed over it, respectively. assuming that the radius of the ring is 5.00m, find the net electric field at point P locaded at the origin ( rings center)
Consider a thin semicircular ring centered at the origin and oriented in the X-Y plane. The...
Consider a thin semicircular ring centered at the origin and oriented in the X-Y plane. The top and bottom quarters of the ring have +4.50pC and -4.50pc of charge uniformly distributed over it, respectively. Assuming that the radius of the ring is 5.00 cm, find the net electric field at Point P located at the origin/rings center.
Summary 583 Bridging Problem An imaginary sphere of radius R is centered at the origin, as...
Summary 583 Bridging Problem An imaginary sphere of radius R is centered at the origin, as shown in Pigure 17,37. A charge q is rigidly fixed to the x axis at +R/2 and a second charge g is at-R2. Finally, a proton (of mass and charge te) is released from rest oa the y axis. in terms of e, m, R of the proton at the moment it is released from y +R/4. (b) What are the magnitude and direction...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
Problem 4 A point charge -q is located at the origin. The point charge is surrounded...
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4+4: Physics 2524, Discussion Disc. Sec: Consider a "Capacitor" made of two thin, flat disks of radius R. The disks are perpendicular to the z-axis as shown, the first at z 0 with charge Qi, the second at z-a with charge Qr Assume the charge is distributed uniformly on the disks. Your job is to calculate the electric field along the z-axis. Disk at z = a, Radius R Charge Q Disk at z=0, Radius R Charge Q Making the...
The figure shows three circular
arcs centered at the origin of a coordinate system. On each arc,
the uniformly distributed charge is given in terms of Q = 2.83 µC.
The radii are given in terms of R = 10.1 cm. What are the (a)
magnitude and (b) direction (relative to the positive x direction)
of the net electric field at the origin due to the arcs?
06+ We were unable to transcribe this image
Problem 3 (25 points): Magnetic Field from Superposition. A circular disk of radius ro is uniformly coated with charge with a surface charge density of ps the disk lies in the x-y plane and the disk axis is the z-axis. This disk is spinning about the z-axis at a rate of one revolution every T seconds. The resulting surface current density on the disk is given by 2Tps a) What is the magnetic field intensity on the z-axis at a...
Summary 583 Bridging Problem An imaginary sphere of radius R is centered at the origin, as shown in Pigure 17,37. A charge q is rigidly fixed to the x axis at +R/2 and a second charge g is at-R2. Finally, a proton (of mass and charge te) is released from rest oa the y axis. in terms of e, m, R of the proton at the moment it is released from y +R/4. (b) What are the magnitude and direction...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
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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