# Electric Potential and Electrostatics: Problem AnalysisA mass has a charge of \( q = 5e \), where \( e \) is the charge on an electron. We will explore various scenarios to understand the electric potential difference created by this charge.### (a) Determining the Electric Potential \( V(r) \)**Question:**Determine the electric potential \( V(r) \) due to the charge at a distance \( r = 0.160 \) cm from the charge.**Answer:**\[ V(r) = 4.50 \times 10^{6} \, \text{V} \]Explanation: This value represents the electric potential at a distance of 0.160 cm from the charge.### (b) Electric Potential Difference Between Two Points**Question:**Determine the electric potential difference (in V) between a point that is \( 5r \) away and this point, that is \( V(5r) - V(r) \).**Common Mistake:**\[ \text{Provided Answer: } 7.20 \times 10^{-7} \, \text{V} \] \[ \text{Note: } Don't forget, we want \( V(5r) - V(r) \) and not \( V(r) - V(5r) \). Try writing your answer in terms of the expression for \( V(r) \) obtained in part (a). \]### (c) Electric Potential Difference for a Fractional Distance**Question:**Determine the electric potential difference (in V) between a point that is \( \frac{r}{5} \) away and this point, that is \( V \left(\frac{r}{5}\right) - V(r) \).**Common Mistake:**\[ \text{Provided Answer: } -1.80 \times 10^{-6} \, \text{V} \]\[ \text{Note: } Don't forget, we want \( V \left( \frac{r}{5} \right) - V(r) \) and not \( V(r) - V \left( \frac{r}{5} \right) \). Try writing your answer in terms of the expression for \( V(r) \) obtained in part (a). \]### (d) Potential Difference with Proton Replacement**Question:**How

Electrical potential at a distance 'r' for charge '+q' is V =…

A mass has a charge of q = 5e, where e is the charge on an electron. (a) Determine the electric potential (in V) due to the charge at a distance r = 0.160 cm from the charge. -4.50e-06 V (b) Determine the electric potential difference (in V) between a point that is 5r away and this point, that is V(5r) - V(r). 7.20e-07 x Don't forget, we want V(5r) - V(r) and not V(r) - V(5r). Try writing your answer in terms of the expression for V(r) obtained in part (a). V (c) Determine the electric potential difference (in V) between a point that is away and this point, that is v(5) - V(r). -1.80e-06 Don't forget, we want () - V(r) and not V(r) – (5). Try writing your answer in terms of the expression for V(r) obtained in part (a). V (d) How would the answers change if the electrons are replaced by protons? O The sign of answer (a) would change. The sign of answer (b) would change. The sign of answer (c) would change. The sign of all answers would change. All answers would remain the same.

A mass has a charge of q = 5e, where e is the charge on an electron. (a) Determine the electric potential (in V) due to the charge at a distance r = 0.160 cm from the charge. -4.50e-06 V (b) Determine the electric potential difference (in V) between a point that is 5r away and this point, that is V(5r) - V(r). 7.20e-07 x Don't forget, we want V(5r) - V(r) and not V(r) - V(5r). Try writing your answer in terms of the expression for V(r) obtained in part (a). V (c) Determine the electric potential difference (in V) between a point that is away and this point, that is v(5) - V(r). -1.80e-06 Don't forget, we want () - V(r) and not V(r) – (5). Try writing your answer in terms of the expression for V(r) obtained in part (a). V (d) How would the answers change if the electrons are replaced by protons? O The sign of answer (a) would change. The sign of answer (b) would change. The sign of answer (c) would change. The sign of all answers would change. All answers would remain the same.

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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