Ohm's Law: I $=\frac{V}{R}$: Increasing voltage increases current.  Power Law: P $={V}*{I}$: Increasing voltage decreases current.  Am I missing something?
Ohm's law states that  electric current is directly proportional to voltage provided that physical conditions like temperature remain constant i.e. $$V = IR$$  On the other hand,  $$\text{Power = Voltage} \times \text{Current}$$  So here it seems that the higher the voltage, the lower the current, provided that the power remains constant (i.e. current is inversely proportional to the voltage here which is against Ohm's Law.).   Now my question is how do physicists explain this apparent contradiction? Or maybe this not a contradiction because I am analysing things incorrectly?   P.S.: I am a tenth grade student so please refrain from the usage of highly complicated terminologies in your answers.
Center figure that is wider than \textwidth How to disable requiretty for a single command in sudoers? I want to disable requiretty so that I can sudo within scripts, but I'd rather only disable it for a single command rather than everything. Is that possible within the sudoers config? Cannot edit post meta fields with rest API I am using python to send POST requests to /wp-json/wp/v2/&lt; post type &gt;/&lt; post id &gt;. This successfully updates standard fields such as title, content etc. However I am unable to make any changes to the custom theme meta fields structured like &quot;post_meta&quot;:{     &quot;meta_1&quot;:[],      .      .      &quot;meta_n&quot;:[] }.  When I make a GET request to the same endpoint, the post meta fields are returned so I don't think this is an issue with the fields not being registered? Thanks How to completely remove virtualbox I had installed VirtualBox but it started giving me problems. So I uninstalled it using:-  sudo apt-get remove virtualbox-\* sudo apt-get purge virtualbox-\*   But when I reinstalled VirtualBox it again resumed to previous settings and started giving same problems. How can i completely remove VirtualBox from my laptop and then reinstall it such that it wont give same problem again? Is there a way to send a file using POST from a Python script? Show that is $\int_A f$ exists, then so does $\int_A |f|$ Let $f$ be a real-valued function on $A$ in $E^n$. Show that is $\int_A f$ exists, then so does $\int_A |f|$ and $\left | \int_A f\right | \le \int_A |f|$.   I am trying to finish Rosenlicht's Introduction to Analysis and the last chapter is awful. But I do want to finish it because I have come this far. Could someone show me how to do this, so I can at least have some example problems to understand the material. This chapter (Multiple Integrals) really just left more confused than before I started reading the chapter.  Thank you in advance. How does Java calculate negative numbers? We know that in high temperature, resistivity in metals goes linearly with temperature. As temperature is lowered, resistivity goes first as $T^5$ due to "electron-phonon" interaction, and then goes as $T^2$ as temperature is further lowered due to "electron-electron" interactions.   My question is, is there an intuitive way of understanding the above power-law dependence at each temperature range physically? Angle notation for complex numbers in polar form Spanning volume disk usage I have two SSD disks of 256GB and I want to create a single spanning volume of 512GB. I am using Windows 10. What I want to know is how will Windows handle this under the hood.  Will the first disk fill up before the second one starts being used, or will Windows use both disks. For example, if I have 256GB of data on the spanning volume, will it be divided to 128GB on first and 128GB on second physical disk or will it all be on the first disk with the second disk empty? Would this behavior be any different if I were using two HDDs? How to use multiple Effect Strips in Blender Video Sequence Editor? Drag and drop not working inside Nautilus on Ubuntu 17.10 Examples of topologies in which all open sets are regular? An open subset U of a space X is regular if it equals the interior of its closure, as we learn from the Wikipedia . Furthermore, the regular open subsets of a space (any space) form a complete Boolean algebra.  I'm coming to this from logic and algebra, with not much background in topology. I can't figure out which topologies have "interesting" collections of regular open sets. For example, in the trivial topology and the discrete topology, every open set is regular, if I'm not mistaken. Those are not "interesting" topologies. I assume there are other topologies in which the space X and the null set are the only regular open sets. If so, those aren't "interesting" either, at least not with regard to their regular open ets.  I believe what I'm looking for is topologies in which every open set is regular, other than the ones I've just described.  Thanks for any help. If $\lambda$ is an eigenvalue of $A^2$, then either $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A$ $A$ is an $n\times n$ matrix of complex numbers. Prove that if $\lambda$ is an eigenvalue of $A^2,$ then $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A.$    If $\lambda$ is an eigenvalue of $A^2,$ we have $\lambda\alpha=A^2\alpha$ for some $\alpha.$ Then how can we find a $\beta$ s.t. $\sqrt{\lambda}\beta=A\beta?$ Screen resolution stuck at 1024x768 Resolve build errors due to circular dependency amongst classes Proofs with limit superior and limit inferior: $\liminf a_n \leq \limsup a_n$ I am stuck on proofs with subsequences. I do not really have a strategy or starting point with subsequences.   NOTE: subsequential limits are limits of subsequences  Prove: $a_n$ is bounded $\implies \liminf a_n \leq \limsup a_n$   Proof:  Let $a_n$ be a bounded sequence. That is, $\forall_n(a_n \leq A)$.  If $a_n$ converges then $\liminf a_n = \lim a_n = \limsup a_n$ and we are done.  Otherwise $a_n$ has a set of subsequential limits we need to show $\liminf a_n \leq \limsup a_n$:  This is where I am stuck... Infinite Series $\sum\limits_{k=1}^{\infty}\frac{k^n}{k!}$ I'm currently trying to extract textures from a binary file, and ideally I'd like to save each texture to a file or embed in the .blend file. However, before saving an image, I need to be able to create an image in memory from an array of pixel data.  The PIL library contains the kinds of functions I need to use, but it is not included with Blender. Is there anything similar to PIL in Blender? bpy.ops.image seems to be close to what I need, but lacks necessary pixel set/manipulation functions. $X$,$Y$,$Z$ mutually independent implies $X+Y$ independent of $Z$ Supposing $X$, $Y$ and $Z$ and mutually independent real random variables, how can we prove that $X+Y$ and $Z$ are independent from the definition? If not from the definition, using $\sigma$-algebras?  I know that if $X$ and $Y$ are not independent this doesn't work so I know I have to make use of their independence in my proof but I can't figure out how. And it means that if I write the following, I'm making a mistake, and I can't find it:  $$\mathbb{P}(X+Y \leq k,Z \leq l)=\int_{\mathbb{R}} \mathbb{P}(X=x,Y \leq k-x, Z \leq l) dx=\int_{\mathbb{R}} \mathbb{P}(X=x,Y \leq k-x) \mathbb{P}(Z \leq l) dx = \mathbb{P}(Z \leq l)\int_{\mathbb{R}} \mathbb{P}(X=x,Y \leq k-x)dx= \mathbb{P}(Z \leq l) \mathbb{P}(X+Y \leq k) $$  PS: I have seen the proof here but it much more advanced stuff, kind of a sledgehammer...