1b. Finding the Surface Area of a Solid Given a paraboloid z = x² + y², find the surface area of the paraboloid in between z = 16 and z=4.

1. Find the mutual inductance between two coplanar rectangular loops with parallel sides as shown in the following dia- gram. Assume that h₁ >>>h₂.

Find the work done in carrying a 5 C from P(1, 2, -4) to R(3, –5, 6) in an electric field E az + z?ay + 2y² zaz V/m. %3D Select your answer. 1050 J 1950 J -1050 J -1950 J

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6. a) For a parallel plate capacitor &-10, A-.01 m², distance between two plates,d30.05 mm. If applied voltage is V= 200 sin 200t, then find out displacement current density.

Determine the capacitance of a conducting sphere with radius a surrounded by a thick conducting spherical shell with inner radius b and outer radius c. (Hint: you first might want to draw the charge distribution. Then consider where the "ground" of your capacitor is). 4π€ 00 a 4π€ 4πE。 b 4πE In(b/a) b

8. For the situation shown, find the electric field E at point P. 91 5.0 cm 5.0 cm 42 + 20 x 10-C -5.0 x 10-8 C 9. For the situation in No. 8, where in the region would the electric field be zero? 10 Conon fourth n onoh gido

Problem1 a. What is the capacitance of two square parallel plates 15.0 cm x 13.0 cm on sides that are separated by 0.18 mm in air gap. b. Find the dielectric constant K of the paper between two parallel plates with a capacitance C = 4.87 nF.

A point charge of 12 nC is located at the origin. four uniform line charges are located in the x = 0 plane as follows: 80 nC/m at y = -1 and -5 m, -50 nC/m at y = -2 and -4 m. Find D at P(0,-3, 2), D = Blank 1ax + Blank 2ay + Blank 3az pC/m^2. Use one decimal place. Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer

A rectangular toroid has 5000 turns and a self- inductance of 0.50 H. If the height is 0.20 m what is the ratio of the outer radius to the inner radius?