Pr1. A metal rod having a mass m andlength e has resistance R. The rod hangs fromtwo vertical metallic wires of length l in a uni-form vertical magnetic field B of a horseshoemagnet (see figure). The wires have negligib-le resistance. An AC voltage source is connec-ted between the wires which provides a voltageU(t) = Uo cos wt, where Uo and w are constants.U(t)SmINa) Show that for small angular displacementsp the motion of the rod can be described by thecquationU (t) = aö + Bộ + VP,and express the constants a, 3, y in terms ofquantities m, l, B, R and the gravitational ac-celeration g.b) At a certain frequency w = wo the ampli-tude of the oscillations of the rod becomes largeand the equation above does not describe themotion anymore. Estimate the frequency wo.

Pr1. A metal rod having a mass m and length { has resistance R. The rod hangs from two vertical metallic wires of length l in a uni- form vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligib- le resistance. An AC voltage source is connec- ted between the wires which provides a voltage U(t) = Uo cos wt, where Uo and w are constants. U(t) a) Show that for small angular displacements p the motion of the rod can be described by the cquation U(t) = aö + Bộ + n8, and express the constants a, 3, y in terms of quantities m, l, B, R and the gravitational ac- celeration g. b) At a certain frequency w = wo the ampli- tude of the oscillations of the rod becomes large and the equation above does not describe the motion anymore. Estimate the frequency wo-

Pr1. A metal rod having a mass m and length { has resistance R. The rod hangs from two vertical metallic wires of length l in a uni- form vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligib- le resistance. An AC voltage source is connec- ted between the wires which provides a voltage U(t) = Uo cos wt, where Uo and w are constants. U(t) a) Show that for small angular displacements p the motion of the rod can be described by the cquation U(t) = aö + Bộ + n8, and express the constants a, 3, y in terms of quantities m, l, B, R and the gravitational ac- celeration g. b) At a certain frequency w = wo the ampli- tude of the oscillations of the rod becomes large and the equation above does not describe the motion anymore. Estimate the frequency wo-

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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