Answered: A charge of 3.2*10-19C, mass of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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5) A charge of 3.2*10^-¹⁹C, mass of 6.6*10^-27kg is accelerated by a voltage of 2100 V. Compute the radius if it moves in a plane perpendicular to a uniform 0.34T field.

Expert Solution

Step 1

The expression for the velocity of the charge is as follows:

$\begin{array}{l} e V = \frac{1}{2} m v^{2} \\ v = \sqrt{\frac{2 e V}{m}} [1] \end{array}$

Substitute the values in (1) to find the velocity.

$\begin{array}{l} v = \sqrt{\frac{2 (3.2 \times 10^{- 19} C) (2100 V)}{(6.6 \times 10^{- 27} kg)}} \\ v = 4.51 \times 10^{5} m / s \end{array}$

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