6. Consider a thin rod of length L laying on the x-axis as shown in the...
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is non uniform and varies as λ = λ。x/L, where λ, is a constant. (a) Find the magnitude of the force on a point charge q at x-a in terms of q, λ, a, and L. (b) Show that for a » L the answer in (a) reduces to (c) What is the total charge on the rod? (d)...
1. What is the magnitude of a point charge if the electric field it produces at a distance of 50 cm is 1.0 N/m? 2. Two point charges, one of +2.0 x 10" C and the other of +8.0 x 10-8 C, are separated by a distance of 10 cm. (a) What electric field does each produce at the position of the other? (b) What forces acts on each charge? 3. A charge Q is divided into two parts, q...
A charged rod of length L 8.30 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ-az where a-_65.5 pC/m2 L/2 +L/2 What is the total charge on the rod? 4pts Submit Answer Tries 0/10 What is the x component of the electric field at a point on the z axis a distance of D = 4.40 m from the end of the rod?
A thin rod of length L with total charge Q lies along the x-axis and is centered at the origin. Please answer the following A. What is the electric field strength E at a point P located at position x? B. Does your expression have the expected behavior for x >> L? C. Evaluate E at x = 1.9 cm if L = 3.5 cm and Q = 17 nC.
For Problems 2 -3: A thin rod of total length L has non-uniform charge density given by 0 wherex- 0 is at the center of the rod P2. (a) Describe in this charge distribution words (b) If the total charge on this rod is Q, determine o P3. Determine the electric field a distance d past the end of the rod. Does your answer depend on which end?
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and -q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P, a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point P for x >> L looks like that of a dipole (Hint: Review Example 21.14 in your text). (c) What is the dipole moment of...
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P, a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point Pforx >> L looks like that of a dipole (Hint: Review Example 21.14 in your text). (c) What is the dipole moment of the charge...
P10. Consider a charged rod of length L that has a nonuniform charge density given by λ =入 sin-, where s is measured from the center of the rod. Let L = 12 cm, and λ,-15 nC/cm. Calculate the electric field a distance L past the positive end of the rod TS
1. A thin rod of length L and total mass M has a linear mass density that varies with position as λ(x)-γ?, where x = 0 is located at the left end of the rod and γ has dimensions M/L3. ĮNote: requires calculus] (a) Find γ in terms of the total mass M and the length L. (b) Calculate the moment of inertia of this rod about an axis through its left end, oriented perpen dicular to the rod; expressed...
Two thin rods of length L lie along the x-axis, one between x=a/2 and x=a/2+L and the other between x=?a/2 and x=?a/2?L. Each rod has positive charge Q distributed uniformly along its length. Part A Calculate the electric field produced by the second rod at points along the positive x-axis. Express your answer in terms of the variables x, a, L, Q and appropriate constants. ANSWER: Ex = 2kQL(12x+a?12L+2x+a) Incorrect; Try Again; 5 attempts remaining Part B Find the magnitude...