Maligayang pagdating sa Imhr.ca, kung saan maaari kang makakuha ng mga sagot mula sa mga eksperto. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto na dedikado sa pagbibigay ng tamang impormasyon. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming komprehensibong Q&A platform.

[tex]\text{An infinite plane charge with }\sigma=\text{65.0 nC/m}^2\text{ lies}\\\text{in the }xy\text{ plane. Recall that the electric field due}\\\text{to a non-conducting plane of charge in the }xy\text{ plane}\\\text{may be expressed as }\vec{E}=\dfrac{\sigma}{2\epsilon_0}\dfrac{z}{|z|}\hat{k}.\\(a)\;&\text{Using the given equation of the electric field,}\\\text{}\hspace{17pt}\text{determine the general expression for the}\\\text{}\hspace{17pt}\text{potential difference between two values of }z,\\\text{}\hspace{17pt}\text{where }z\ \textgreater \ 0.\text{ Express your answer in terms of}\\\text{}\hspace{17pt}\text{initial and final points }z_i\text{ and }z_f.\\(b) \text{ Using your answer from part }a,\text{ determine the}\\\text{}\hspace{17pt}\text{potential difference between }z_i=5.80\text{ m and }\\\text{}\hspace{17pt}z_f=0.35\text{ m.}\\(c)\text{ A proton is moving towards the plane. If its}\\\text{}\hspace{17pt}\text{initial velocity is }\vec{v}=-3.05\times 10^6\;\hat{k}\text{ m/s at }\\\text{}\hspace{17pt}z=5.80\text{ m, what will its velocity be at}\\\text{}\hspace{17pt}z=0.35\text{ m? You may assume that the proton}\\\text{}\hspace{17pt}\text{does not come to a stop before reaching the }\\\text{}\hspace{17pt}\text{plane.}[/tex]

Sagot :

See the attached images.

View image kharmsorz
View image kharmsorz