G. Derive an expression for Ground Resistance of a hemisphere of radius "r" buried in soil...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...
Derive R=v20sin2θ0/g for the range of a projectile on level ground by finding the time t which y becomes zero and substituting this value of t 12 into the expression for x−x0, noting that R=x-x0
derive an expression for the time that it takes the projectile to stick to the ground given the constant air resistance. A=1/2ϵg B = -Vox C= x t = the quadratic formula t = -B²+- sqr(B²-4AC)/2A how to solve for t?
Problem 6a: A non-conducting thin shell in the shape of a hemisphere of radius R centered at the origin has a total charge Q spread uniformly over its surface. The hemisphere is oriented such that its base is in the (y.z) plane. al. Find an expression for the surface charge density η. a2. Find the electric field at the center of the hemisphere, i.e. at x-0. Hint: consider the hemisphere as a stack of rings
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero A thin disk (radius R and mass M) attached to the top of a...
plz? help sir .......... A transparent glass hemisphere with radius R and mass m has an index of refraction n. In the medium outside the hemisphere, the index of refraction is equal to one. A parallel beam of monochromatic laser light is incident uniformly and normally onto the central portion of its planar surface, as shown in Figure 3. The acceleration of gravity g is vertically downwards. The radius 8 of the circular cross-section of the laser beam is much...
2. (10 points) Consider a hemisphere of radius R centred at the origin as illustrated on the right. The hemisphere is contained entirely in the region z < 0 ion σ is placed on the hemisphere. ut a) Find E at the origin and atRê on the axis. b) Find V at the origin and at rp-RE on the z axis.
Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of radius of the sphere R and the total charge Q. State assumptions if any Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of...
Find the center of mass of a hemisphere with radius r, whose density is uniform.