A charged nonconducting rod, with a length L and a cross-sectional area A, lies along the positive side of an x axis with one end at the origin. The volume charge density ρ is charge per unit volume. How many excess electrons are on the rod if (a)ρ is uniform and (b)ρ is nonuniform, with a value given by ρ = bx2, where b is a constant with the appropriate units? State your answers in terms of the given variables using e to represent the elementary charge.
A charged nonconducting rod, with a length L and a cross-sectional area A, lies along the...
A rod of Length L lies along the x axis with its left end at the origin. It has a nonuniform charge density lambda = alpha x, where alpha is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x-axis. (Use the following as necessary: alpha, k_, L, b, and d.) v = A wire having a uniform linear charge density lambda is bent into...
8. A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. Find the components of the electric field at the point P on the y axis a distance d from the origin. ANSWER:
A charged rod of length L lies along the z-axis, centered at the origin It has a charge distribution: lambda(z) [\lambda_0 * z]/L a.) What coordinate system should be used to describe this system? Explain. b.) What is the total charge Q on the rod? c.) Find an equation for the electric field for (x, y, z), use any coordinate system d.)Find an algebraic equation for the electric field at z /2
A uniformly charged rod of length L=2.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q=6.8 μC, A point P is located on the x-axis a distance a = 0.45 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin. What is the direction of the electric field at point P due to the...
A metal rod of length 76 cm and mass 1.79 kg has a uniform cross-sectional area of 7.7 cm2. Due to a nonuniform density, the center of mass of the rod is 22.2 cm from the right end of the rod. The rod is suspended in a horizontal position in water by ropes attached to both ends (the figure). (a) What is the tension in the rope closer to the center of mass? (b) What is the tension in the...
A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin (b) What are the approximate values of the field components when d >> L?
A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC. A point P is located on the x-axis a distance a = 1.2 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin, what is the direction of the electric field t point P due...
A rod of length L is located along the x-axis with its right end at the origin. The rod has a total charge -Q and a uniform linear charge density. Find the electric potential at point P located on the y-axis a distance a from the origin.
A positively charged rod of length L = 0.220 m with linear charge density = 2.71 mc/m lies along the x axis as in the figure. Find the electric field at the position Pa distance 0.335 m away from the origin (Express your answer in vector form.) N/C р Submit Answer
A uniformly charged rod of length Land total charge Q lies along the x axis as shown in Figure P23.6. (a) Find the components of the electric field at the point P on the y axis a dis- tance d from the origin. (b) What are the approximate values of the field components when d >> L? Explain why you would expect these results.