Continuous charge distribution (finding V from the point-charge formula V = S kdq/r). A uniformly charged...
1. Parallel plates. You have two equal but oppositely charged parallel conducting plates, separated by 10 cm. A voltmeter shows that the potential difference between the plates is 500 V. (a) Which is at a higher potential, the positive or negative plate? (b) How big is the electric field between the plates? (c) You let go of an electron next to the negative plate. How much work does the electric field do in moving the electron to the positive plate?...
(a) Calculate the electrostatic force on a uniformly charged rod of length 2l, and charge q which lies along the axis of a uniformly charged ring of radius R and charge q'. The centers of the charged rod and the rings are displaced by z = z0. (b) Show that if z0 >> l, is satisfied, then the expression of calculated force reduces to that between point charges.
a) Calculate the electrostatic force on a uniformly charged rod of length 2l,and charge q which lies along the axis of a uniformly charged ring of radius R and charge q'. The centers of the charged rod and the rings are displaced by z = z0 . (b) Show that if z0 >>l,is satisfied, then the expression of calculated force reduces to that between point charges.
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 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 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.
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 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 uniformly charged rod of length L and total charge Q lies along the x axis as shown 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? Explain why you would expect these results.
When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Let's see what happens if we break a finite rod up into a small number of finite partides. The figure below shows a rod of length 2 carrying a uniform charge Q modeled as five particles of charge Q/5. Two particles are at...