Answered: What is the dipole's angular velocity…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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(c) An electric dipole consists of 0.003 kg spheres charged to ∓3e-09 C at the ends of a 0.16 m long non-conducting rod of mass 0.006 kg The dipole rotates on a frictionless pivot at its center. The dipole is held perpendicular to a uniform electric field with a field strength 1000 V/m, then released.

What is the dipole's angular velocity (in rad/s) at the instant it is aligned with the electric field? (HINT: Look up the moment of inertia of the rotating rod about its center and don't forget the rotational kinetic energy term (along with the other terms) when you set up your conservation of energy problem).

a)0.0534 b)0.446 c)0.289 d)0.119 e)0.137 f)0.205

(d) Four 1.9e-08 C charges are held in location to form a perfect square with sides of length 0.1 m. Two of the charges from opposing corners are released simultaneously, the other two are held in place. The mass of each charge is 0.003 kg.

How fast (in m/s) will the two released charges be moving when they are far, far away from their original location?

a)0.339 b)0.476 c)0.226 d)0.196 e)0.0881 f)0.736

Please answer part c) and d) and follow the instructions. Please answer both parts completely and show all the parts. Thanks!

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