Problem 1P: A cube 2 m on a side is located in the first octant in a Cartesian coordinate system, with one of... Problem 2P Problem 3P: Find the total charge contained in a round-top cone defined by R 2 m and 0 /4, given that v = 10... Problem 4P: If the line charge density is given by l = 24y2 (mC/m), find the total charge distributed on the y... Problem 5P: Find the total charge on a circular disk defined by r a and z = 0 if: (a) s = s0 cos (C/m2) (b) s... Problem 6P: If J = 4xz (A/m2), find the current I flowing through a square with corners at (0, 0, 0), (2, 0, 0),... Problem 7P Problem 8P: An electron beam shaped like a circular cylinder of radius r0 carries a charge density given by... Problem 9P Problem 10P: A line of charge of uniform density occupies a semicircle of radius b as shown in Fig. P4.10. Use... Problem 11P: A square with sides of 2 m has a charge of 40 C at each of its four corners. Determine the electric... Problem 12P: Three point charges, each with q = 3 nC, are located at the corners of a triangle in the xy plane,... Problem 13P: Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and charge q2 is located at (0, 0, 4 cm). What should... Problem 14P: A line of charge with uniform density = 8 (C/m) exists in air along the z axis between z = 0 and z... Problem 15P Problem 16P: A line of charge with uniform density l extends between z = L/2 and z = L/2 along the z axis. Apply... Problem 17P: Repeat Example 4-5 for liie circular disk of charge of radius a, but in the present case, assume the... Problem 18P: Multiple charges at different locations are said to be in equilibrium if the force acting on any one... Problem 19P: Three infinite lines of charge, all parallel to the z axis, are located at the three corners of the... Problem 20P Problem 21P: A horizontal strip lying in the xy plane is of width d the y direction and infinitely long in the x... Problem 22P Problem 23P Problem 24P: Charge Q1 is uniformly distributed over a thin spherical shell of radius a, and charge Q2 is... Problem 25P: The electric flux density inside a dielectric sphere of radius a centered at the origin is given by... Problem 26P Problem 27P: An infinitely long cylindrical shell extending between r = 1 m and r = 3 m contains a uniform charge... Problem 28P: If the charge density increases linearly with distance from the origin such that v = 0 at the origin... Problem 29P: A spherical shell with outer radius b surrounds a charge-free cavity of radius a b (Fig. P4.29). If... Problem 30P Problem 31P Problem 32P: A circular ring of charge of radius a lies in the xy plane and is centered at the origin. Assume... Problem 33P Problem 34P: Find the electric potential V at a location a distance b from the origin in the xy plane due to a... Problem 35P: For the electric dipole shown in Fig. 4-13, d = 1 cm and |E| = 4 (mV/m) at R = 1 m and = 0. Find E... Problem 36P: For each of the distributions of the electric potential V shown in Fig. P4.36, sketch the... Problem 37P: Two infinite lines of charge, both parallel to the z axis, lie in the xz plane, one with density ... Problem 38P: Given the electric field E=R18R2(V/m) find the electric potential of point A with respect to point B... Problem 39P: An infinitely long line of charge with uniform density l = 9 (nC/m) lies in the xy plane parallel to... Problem 40P: The xy plane contains a uniform sheet of charge with s1=0.2(nC/m2). A second sheet with... Problem 41P: A cylindrical bar of silicon has a radius of 4 mm and a length of 8 cm. If a voltage of 5 V is... Problem 42P: Repeat Problem 4.41 for a bar of germanium with e = 0.4 (m2 /Vs), h = 0.2 (m2 /Vs), and Ne = Nh =... Problem 43P: A 100 m long conductor of uniform cross-section has a voltage drop of 4V between its ends. If the... Problem 44P Problem 45P: Apply the result of Problem 4.44 to find the resistance of a 20 cm long hollow cylinder (Fig. P4.45)... Problem 46P: A 2 103 mm thick square sheet of aluminum has 5 cm 5 cm faces. Find the following: (a) The... Problem 47P: A cylinder-shaped carbon resistor is 8 cm in length and its circular cross section has a diameter d... Problem 48P: With reference to Fig. 4-19, find E1 if E2=x3y2+z2(V/m), 1 = 2 0, 2 = 18 0, and the boundary has a... Problem 49P: An infinitely long cylinder of radius a is surrounded by a dielectric medium that contains no free... Problem 50P: If E=R150(V/m) at the surface of a 5-cm conducting sphere centered at the origin, what is the total... Problem 51P: Figure P4.51 shows three planar dielectric slabs of equal thickness but with different dielectric... Problem 52P: Determine the force of attraction in a parallel-plate capacitor with A = 5 cm2, d = 2 cm, and r = 4... Problem 53P: Dielectric breakdown occurs in a material whenever the magnitude of the field E exceeds the... Problem 54P: An electron with charge Qe = 1.61019 C and mass me = 9.1 1031 kg is injected at a point adjacent to... Problem 55P: In a dielectric medium with r = 4, the electric field is given by E=x(x2+2z)+yx2z(y+z)(V/m)... Problem 56P Problem 57P Problem 58P Problem 59P Problem 60P Problem 61P Problem 62P: Conducting wires above a conducting plane carry currents I1 and I2 in the directions shown in Fig.... Problem 63P format_list_bulleted