Consider a 1.8 meter long charged rod with total charge of +4. 1.8 m Q =...
Consider a 1.8 meter long charged rod with total charge of +4. 1.8 m Q = +4 uc 20 cm P 30 cm a) Setup the integral needed to calculate the electric potential at location P. Specify integral limits and expressions or values for and, but do not evaluate the integral. b) What is the physical meaning of da? c) Why do we need to use an integral to calculate electric potential for this problem, why can't we just use...
2. A uniformly charged rod, one meter long, has a total charge of Q+52 uC. Point P is at a distance of 0.25 [m] from the rod on its perpendicular bisector. Find a, θ, the angle shown, from the vertical, to the end of the rod. b. A, the linear charge density of the rod c. E, the electric field at point P, using either: E kAL/z(22+L2/4) 2 25m .5 m ,5 m
For Problems 4-5: Consider a uniformly-charged rod of length L 12.0 cm and total charge (which is not known) P4. The electric field on the perpendicular bisector of this rod, 5.00 cm from it, is be 3.2 × 104 N/C. Calculate。 measured to 5.00 cm P5. What is the electric field created by this rod at a point 5.00 cm from the rod, along a line perpendicular to the end of the rod?
uniformly charged rod sits along the-x-axis. It has a total charge of-4 pC and extends from the origin to x =-15 cm. a) What is the linear charge density? b) What is the magnitude and direction of the electric field atx 30 cm, y c) What is the electric potential at x = 30 cm, y-0 cm? 0 cm?
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 very thin plastic rod of length L is rubbed with cloth and becomes uniformly charged with a total positive charge Q. In this problem you will be asked to calculate the electric field a distance d from the top of the rod and on axis with the rod at observation location “∗” as indicated in the diagram.C. Integrate over the charge distribution to determine the electric field vector at the observation location. Your answer should only contain the given...
Consider a rod that is not uniformly charged, but rather has a charge density that increases linearly from right to left over the length of the rod: 2q λ(x) = x. L2 This means that a point charge at position x has a charge dq-λ (x)dx. The rod and its coordinate system are shown below. The total length of the rod is L. Answer the following in terms of q, L, d, and fundamental constants. λ dx correspond to? Evaluate...
continuous object using integrals. Consider a thin, charged rod of length, L. It lies along the x-axis with one end at x = 0 and the other end at x = L. It has a non-uniform linear charge density given by the function λ(x) = −λ0 + Ax , where λ0 and A are both positive constants. (a) What are the units of λ0 and A? Explain. (b) Suppose that λ0 and A are related such that A = 2λ0/L....
Exercise 23.7 Hints: Getting Started | I'm Stuck A rod 12.5 cm long is uniformly charged and has a total charge of -27.0 PC. (a) Determine the magnitude of the electric field along the axis of the rod at a point 31.0 cm from its center. E = 13433.80109 X N/C It might be helpful to carefully follow through the example to make sure you understand the solution. (b) Determine the direction of the electric field along the axis of...
A uniformly charged rod with total charge Q and length L is placed along the x-axis as shown to the right. (a) Calculate the electric field, E, at point P. Express your answers in terms of Q, L and ε0 or k.