Δ r r = − 1 2 Δ L L

Question

Want to see the full answer?

Answer 1

Question

Chapter 12, Problem 53P

To determine

To Show: Δrr=−12ΔLL

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 0 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance l = 2.50 m. B m The smooth bars of mass m = 1.00 kg Will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.55 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the…

You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 8 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the fiqure below, separated by a distance { = 2.10 m. R m The smooth bars of mass m = 1.00 kg will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.25 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the…

A Geiger counter is a device used to detect radiation, and consists of a thin metal wire (anode) at the center of a metallic tube (cathode). As radiation enters the tube, electrons are knocked off from the gas inside the tube or from the metallic wall, and accelerate towards the wire at the center. Consider a Geiger counter with an evacuated tube (a vacuum existing between cathode and anode), where the inner anode has a radius 4 mm and the outer cathode has a radius of 82 mm. The anode has a linear charge density of +18 nC/m, while the cathode has a charge per unit length of -18 nC/m. Let the cathode potential be equal to zero (using it as voltage reference). What is the potential at a distance of 142 mm from the center? Express your answer up to four significant figures. Anode Cathode