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College Physics (Urone)
Found in: Page 697

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Short Answer

What is the potential 0.530×10-10 m from a proton (the average distance between the proton and electron in a hydrogen atom)?

The potential at 0.530×10-10 m from a proton is V=27.2 V.

See the step by step solution

Step by Step Solution

Step 1: Given Data

Distance from proton is 0.530×10-10 m

Step 2: Concept Introduction

Electric Potential Due to a Single Charge: To determine the electric potential V due to a single source charge Q at a specific location, place a test charge q at that location and determine the electric potential energy UQq of a system containing the test charge and the source charge that creates the field. The electric potential is given as–


Where k=8.99×109 N·m2/C is a proportionality constant called Coulomb's constant.

Step 3: Calculation for Electric Potential

The electric potential a distance r from the proton is found from Equation (1) –


Entering the values for k, q, and r–

V=(8.99×109 N×m2/C)(1.60×10-19C)0.530×10-10 m=27.2 V

Therefore, the potential is obtained as V=27.2 V.


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