Chapter 18. Power for a resistor (18-24)

Question

3QxhZQDQ+v7PQP5i1CxHMkd1Nah3d96AnwDEVA==
{"title":"Power into a resistor","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,66,32,108\"}]"} {"title":"Current through the resistor","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"89,65,106,109\"}]"} {"title":"Voltage across the resistor","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"234,21,272,67\"}]"} {"title":"Resistance of the resistor","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"242,100,285,147\"},{\"shape\":\"rect\",\"coords\":\"127,65,163,110\"}]"}

Question

MUUs2yh1zJAdGmNKxDUBqvbbc8u9otbaqEfLcMiEu/k=
{"title":"Power into a resistor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,66,32,108\"}]"} {"title":"Current through the resistor","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"89,65,106,109\"}]"} {"title":"Voltage across the resistor","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"234,21,272,67\"}]"} {"title":"Resistance of the resistor","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"242,100,285,147\"},{\"shape\":\"rect\",\"coords\":\"127,65,163,110\"}]"}

Question

mMeCJb9LYec2D9sQzVDfFznir2p5Al8/VvdKHLmgcLA=
{"title":"Power into a resistor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,66,32,108\"}]"} {"title":"Current through the resistor","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"89,65,106,109\"}]"} {"title":"Voltage across the resistor","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"234,21,272,67\"}]"} {"title":"Resistance of the resistor","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"242,100,285,147\"},{\"shape\":\"rect\",\"coords\":\"127,65,163,110\"}]"}

Question

Be2tWOBxdYEcD2Q3lcFQtZd/9iWt2NqbSFGqNvkPlwY=
{"title":"Power into a resistor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"2,66,32,108\"}]"} {"title":"Current through the resistor","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"89,65,106,109\"}]"} {"title":"Voltage across the resistor","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"234,21,272,67\"}]"} {"title":"Resistance of the resistor","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"242,100,285,147\"},{\"shape\":\"rect\",\"coords\":\"127,65,163,110\"}]"}

Review

For the special case where the circuit element is a resistor with resistance \(R\), Equation 18-9 tells us that the voltage \(V\) across the resistor is equal to the product of the current and the resistance: \(V = iR\), or equivalently \(i = V/R\). We can use these two expressions to rewrite Equation 18-23 in two equivalent forms for the special case of a resistor:

\(P = i(iR)\) or \(P = \left(\frac{V}{R}\right)V\)

We can simplify these to