Answered: What potential difference is needed to…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 61P: A uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains...

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Question

What potential difference is needed to accelerate a He ion (charge +e, mass 4 u) from rest to a speed of 1.5×106 m/s Express answer in volts.

Expert Solution

Step 1

Given data:

The speed of the ion is v=1.5x10⁶ m/s.
The charge on ion is q=+e=1.6x10^-19 C. (As the charge on 1 electron is same as e).
The mass of ion is m=4u=4x1.67x10^-27 kg.

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