Can someone prove those four equations for me?
Can someone prove those four equations for me? Applying Gauss's Law. Spherical Symmetrv: A shell of...
#8 Gauss's Law and The Shell Theorem Consider a hollow sphere with charge uni- formly distributed on its surface. Suppose the total charge is Q, where Q may be positive or negative Recall that Gauss's law as we have seen it is: Qenclosed ΣΕ A = EO where A = 47tr2 is the total area of the Gaussian surface Suppose the sphere radius is Ro and r > Ro. In terms of Gauss's Law, the reason why the electric field...
10.4) Thick insulating shell A thick insulating spherical shell has inner radius a and outer radius b. The shell carries a uniform volume charge density po. [A cross-sectional view of the shell is shown to the right.] (a) Consider a spherical Gaussian surface of radius r concentric with the shell. How much charge is enclosed in the Gaussian surface for p <a, a <r <b, and r > b? (b) What does symmetry dictate about the magnitude and direction of...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
Q3: Gauss's Law Problem Statement A-100 nC point charge sits at the center of a hallow spherical shell. The shell with radius 0.1 cm and negligible thickness, has a net charge of 200 nC. Find the electric field strength a) inside the sphere at r=0.05cm from the center, and b) outside the sphere at r=0.15cm from the center. In what direction does the electric field point in each case? Visual Representation • Draw a sketch of the charge distribution. •...
A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux on the particle, as a function of the radius r of the sphere through a Gaussian sphere centered Webnssign Plot (a) What is the charge of the central particle? 2.66 (b) What is the net charge of shell A? 5.31 (c) What is the net charge...
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net fluxΦ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 4.5 × 105 N·m2/C. (a) What is the charge of the central particle?...
A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 5.5 × 105 N·m2/c. what are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell...
A charged particle is held at the center of two concentric conducting spherical shells. Figure 23-35a shows a cross section. Figure 23-35b gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 4.2 × 105 N•m2/C. What is the net charge (in Coulombs) of shell B?
A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Фs-4.0 105 N-m2/c. what are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell B? 0 (a)...
A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux o through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Os = 4.5 x 105 N·m2/C. What are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell...