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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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A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have length L = 45. cm.
The rod carries a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?

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$T h e m a g n e t i c f o r c e i s g i v e n b y : F_{b} = i \times d B = 48 \times 0.12 \times 0.24 = 1.3824 N L e t t h e f r i c t i o n b e F . F o r p u r e r o l l i n g : a = α \times r (F_{b} - F) / m = (F_{r} / (0.5 m r^{2})) \times r 1.3824 - F = 2 F F = \frac{1.3824}{3} = 0.4608 N a = \frac{(1.3824 - 0.4608)}{0.720} = 1.28 m / s$

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