Physics Homework Solutions

Electrostatic Charges etc..etc..

Conducting Spheres Problem 4. Identical isolated conducting spheres1 and 2 have equal charges and are seperated by a distance that is large compared with their diameters (a). The electrostatic force acting on sphere 2 due to sphere 1 is F. Suppose now that a third identical sphere 3, having an insulated handle and initia ...continues

Electrostatic Charges & Fields

Problem 13 :- In figure 21-26 in attached file 3 particle 1 of charge +1.0 uC and particle 2 of charge -3.0 uC are held at separation L = 10.0cm on an x axis. If particle 3 of unknown charge (q3) is to be located such that the net electrostatic force on it from particles1 and 2 is zero. What must be the (a)x axis and (b) y ...continues

Potential difference across a capacitor

In figure 25-27 in attached file 5, a potential difference V= 100 V is applied across a capacitor arrangement with capacitance C1=10.0 uF, C2 = 5.00 uF and C3= 4.00 uF. What are (a) charge q3. (b) the potential difference V3. (c) stored energy U3 for capacitor 3. (d) q1 (e) V1 (f) U1, all for capacitor 1 (g) q2 (h) V2 ( ...continues

Electric Field Charge

Please see attached file 4. for the following problems: 6. At each point on the surface of the cube shown in Figure 23-27, the electric field is parallel to z-axis. The length of each edge of the cube is 3.0 m. On the top face of the cube, E = -34k N/C, and at the bottom face E = +20k N/C. Determine the net charge contained w ...continues

Coulombs Law - Explain the Electromagnetic Force on Particles in relation to their x and y axis, related to a time scale - explanation and references.

Coulombs Law - Explain the Electromagnetic Force on Particles in relation to their x and y axis, related to a time scale - explanation and references.

Concentric spheres

A metal sphere of radius a is surrounded by a metal shell of inner radius b and outer radius R, as shown in the diagram below. The flux through a spherical Gaussian surface located between a and b is 0.85Q/εo and the flux through a spherical Gaussian surface just outside R is 1.15Q/εo. What is the total charge ...continues

Physics - new charge distribution

A positive charge Q = 1600.00 C is uniformly distributed over the volume of a sphere of radius R = 5.00 m. Suppose a spherical cavity of radius R/2 is cut out of the solid sphere, the center of the cavity being a distance R/2 from the center of the original solid sphere (image attached). The cut-out material and its charge are d ...continues

Vector calculus

Given vector function V=x*y*xhat+2*y*z*yhat+3*z*x*zhat what is the divergence of this function and is the magnitude of the divergence greater at the origin or at (1,1,1)

Vector calculus

Given vector function V=x*y*xhat+2*y*z*yhat+3*z*x*zhat what is the curl of this function and is there more net rotation at the origin or at (1,1,1)

Vector Calaculus

Given the vector function V = {-y/[(x-4)^2+y^2)]^3/2 + (x+4)/[(x+4)^2+y^2)]^3/2}*xhat +{(x-4)/[(x-4)^2+y^2)]^3/2 + y/[(x+4)^2+y^2)]^3/2}*yhat a) What is the divergence at (-4,0) b) What is the curl at (4,0) Note: Y you might want to use maple or some other program your choice also the answer shows curl ...continues

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