Two Charges q>0 are located at r1=(d/2, 0,d/2) and r2=(-d/2,0,d/2) above an infinite conducting plate in...

Two Charges q>0 are located at r1=(d/2, 0,d/2) and r2=(-d/2,0,d/2) above an infinite conducting plate in the xy plane at z=0. The plate is grounded. Determine the induced charge density on the plate at z=0. Sketch this charge distribution along the line y = 0 and along the line x = 0. On your sketches indicate its sign and approximate magnitude as a function of x and y respectively. Interpret your results.

Expert Solution

Graph.1

Graph2.

Note: Above graphs show the order of the magnitude of charge density, not its actual value.

fint we have to find the electric field of the system, which we will calculate using methods of image 8. +2.2 i 1. +? God) (2008) -.;- ya -2 (40)! (,0-5) image charges are represented by and 2'. Now using E= q gt 47160 T713 we get EC2,9.7) = -) +GVJI+LE-ZÉ 4760 LC (1-2); 42+(-73039% Hl-x) + (-4)3+ (4.23€ (-*_x) 346-VJIH -ZJR tel +x)4++(4-2)^J" Tid 1x127 42 t/d 117 - (L-x) + (-4)3 + F¢-z)736 [(-x)²+4²+ ( 2 / + )² valid for ZZ, 1-0) -

to find o we use the boundary condition El abovelo - Ebelow laco - 2 here Ezo for all values of zo. and so odpovednosta - oz GoEabarelys -611) aboye '?=0 from ean el Endove la Tee-x)** + (yey! Tw2Y4A 9**** pport ** t DÊ [(483*** *6poplu 557 97" [(4-2) ?7v (gegee putting this value of t in eqh (W) We get desired result for o.

genius_generous answered 2 years ago

Two isolated concentric conducting spherical shells have radii R1=0.5 m and R2=1 m, uniform charges q1=+2.0...

Two isolated concentric conducting spherical shells have radii R1=0.5 m and R2=1 m, uniform charges q1=+2.0 μC and q2=+1 μC, and negligible thickness. Assume that V=0 at infinity. (a) What is the magnitude of the electric field at a radial distance of r=4 m? (b) What is the magnitude of the electric field at a radial distance of r=0.7 m? (c) What is the magnitude of the electric field at a radial distance of r=0.2 m? (d) What is the...

Two hoops have the same mass M. Their radii are R1 and R2 = 2 R1....

Two hoops have the same mass M. Their radii are R1 and R2 = 2 R1. Similarly, two uniform disks also have mass M and the radii, R1 and R2. Which of these objects has the largest moment of inertia about the axis perpendicular to the screen and through the center of the hoop or disk? The moment of inertia of a uniform disk of mass mand radius r about its center is (1/2)mr2; for a hoop it is mr2....

Two point charges, q?= +15 nC and q?= -2 nC, are located on the x-axis at...

Two point charges, q?= +15 nC and q?= -2 nC, are located on the x-axis at x= 0 and x=5 m. What is the distance of ZERO electric field from the positive charge?

Two point charges, q₁= +2 nC and q₂= -18 nC, are located on the x-axis at...

Two point charges, q₁= +2 nC and q₂= -18 nC, are located on the x-axis at x= 0 and x=4 m. What is the distance of ZERO electric field from the positive charge?

Two isolated, concentric, conducting spherical shells have radii R1 = 0.470 m and R2 = 1.00...

Two isolated, concentric, conducting spherical shells have radii R1 = 0.470 m and R2 = 1.00 m, uniform charges q1 = +1.50 μC and q2 = +2.00 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 4.70 m, (b) r = 0.610 m, and (c) r = 0.220 m? With V = 0 at infinity, what is V at (d) r = 4.70 m, (e) r = 1.00 m, (f)...

Two isolated, concentric, conducting spherical shells have radii R1 = 0.450 m and R2 = 1.50...

Two isolated, concentric, conducting spherical shells have radii R1 = 0.450 m and R2 = 1.50 m, uniform charges q1 = +1.70 μC and q2 = +2.30 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 3.40 m, (b) r = 0.840 m, and (c) r = 0.360 m? With V = 0 at infinity, what is V at (d) r = 3.40 m, (e) r = 1.50 m, (f)...

There are three electric charges. Charge one is located at coordinates (−D, 0) and has a...

There are three electric charges. Charge one is located at coordinates (−D, 0) and has a charge of +q. Charge two is located at (D,0) and has a charge of−q. Charge three is located at (0,H) and has a charge of +q. (a) Find the force on charge three due to the other two charges (magnitude and direction). (b) Imagine charge two’s charge is changed to +q. Now, find the force on charge three due to the other two charges...

A capacitor C with plate separation d is charged with ±Q on the two plates. It...

A capacitor C with plate separation d is charged with ±Q on the two plates. It is then connected (at time t = 0) to a resistor R and discharged. a. What is the time dependence of the charge? b. What is the power radiated at time t? c. What is the total energy radiated away? d. What fraction of the total energy is radiated away? e. Suppose C = 1 nF,R = 1000 Ω, and d =0 .1 mm....

2. Two charges, each having charge of +Q are separated by distance d. What are electric...

2. Two charges, each having charge of +Q are separated by distance d. What are electric field and potential created by these two charges exactly at midpoint between them? a. Both potential and electric field are 0. b. Potential is 0, but electric field is not. c. Electric field is zero, but potential is not. d. Both potential and electric field are zero. e. We should know more about charges and distance.

1.Two point charges, q₁= +6 nC and q₂= +5 nC, are located on the x-axis at...

1.Two point charges, q₁= +6 nC and q₂= +5 nC, are located on the x-axis at x= 0 and x=5.00 m. What is the electric field at point x=1.27 m? I got 33.4801 is ths correct? 2.Two point charges, q₁= +2 nC and q₂= -4 nC, are located on the x-axis at x= 0 and x=5.00 m. What is the electric field at point x=5 m? I got is this correct .7199? 3.Two point charges, q₁= +4 nC and q₂=...

Question