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Field Theory

If the velocity profile of a fluid over a flat plate is parabolic with free stream velocity of 120 cm/s occurring at 20 cm from the plate. Find the velocity gradient and shear stress at a distance of 10 cm from plate. dynamic viscosity = 8.5 Poise

Field Theory

Compute the electric potential from a source charge of -2.33 ×10^-13 C if a test charge is 6.45 × 10^-15m away from it

Field Theory

An insulating sphere has radius R and uniform volume charge density ρ. Calculate the electric field at the point P which is inside (r < R) and outside (r > R) of the sphere by using Gauss’s law. Here r is the distance between the center of the sphere and the point P. (b) Discuss the possibility of choosing Gaussian surface other than the sphere. For instance what if you choose the cylindrical surface as a Gaussian surface, is it possible to use Gauss’s law in order to calculate the electric field of a charged sphere? Explain your answer in detail.

Field Theory

A negatively charged droplet of mass 4.5x10 -3ng remains balanced in the electric field between parallel horizontal plates which are 10mm apart if the potentional difference between the plates is 1000 V calculate the charge on the droplet (g =9.8 -2)

Field Theory

Three masses are located in the corners of an equillateral triangle. Find the magnitude and direction graitational field at the center of the triangle. Given:m1=22, m2=340,m3=340

Field Theory

A proton moves from rest in an electric field of 2104 V/m along the +x axis for 40cm.

Find a) The change in in the electric potential. b) The change in the electrical potential energy and c) The speed after it has moved 40cm.

Field Theory

What is the charge density on the surface of a conducting sphere of radius 15cm whose potential on the surface of the sphere is 200V

Field Theory

A 0.2C charge is moved in an electric field from a point with a potential of 20V to another point with a potential of 80V. How much work was done to move this charge?

Field Theory

Use Gauss’ Law to calculate the electric field due to an infinite non-conducting sheet of charge, with surface charge density

Field Theory

Use Gauss’ Law to calculate the electric field due to a long line of charge, with linear charge density