D dkarolasz Junior Member Joined Jun 6, 2007 Messages 53 Jun 6, 2007 #1 The combined resistance of two resistor R1 and R2 in the parallel circuit is given by the formula 1 Rr= ________ 1 1 ___+_____ R1 R2 Simplify the formula ?????[/i][/b]
The combined resistance of two resistor R1 and R2 in the parallel circuit is given by the formula 1 Rr= ________ 1 1 ___+_____ R1 R2 Simplify the formula ?????[/i][/b]
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Jun 6, 2007 #2 Re: word problem Hello, dkarolasz! The combined resistance of two resistor \(\displaystyle R_1\) and \(\displaystyle R_2\) in the parallel circuit is given by the formula: . . \(\displaystyle \L R_r\;=\;\frac{1}{\frac{1}{R_1}\,+\,\frac{1}{R_2}}\) Simplify the formula Click to expand... Multiply top and bottom by \(\displaystyle R_1R_2\) . . \(\displaystyle \L R_r\;=\;\frac{R_1R_2}{R_1R_2}\,\cdot\,\frac{1}{\frac{1}{R_1}\,+\,\frac{1}{R_2}} \;=\;\frac{R_1R_2}{R_1R_2\left(\frac{1}{R_1}\,+\,\frac{1}{R_2}\right)}\) . . \(\displaystyle \L R_r\;=\;\frac{R_1R_2}{R_2\,+\,R_1}\)
Re: word problem Hello, dkarolasz! The combined resistance of two resistor \(\displaystyle R_1\) and \(\displaystyle R_2\) in the parallel circuit is given by the formula: . . \(\displaystyle \L R_r\;=\;\frac{1}{\frac{1}{R_1}\,+\,\frac{1}{R_2}}\) Simplify the formula Click to expand... Multiply top and bottom by \(\displaystyle R_1R_2\) . . \(\displaystyle \L R_r\;=\;\frac{R_1R_2}{R_1R_2}\,\cdot\,\frac{1}{\frac{1}{R_1}\,+\,\frac{1}{R_2}} \;=\;\frac{R_1R_2}{R_1R_2\left(\frac{1}{R_1}\,+\,\frac{1}{R_2}\right)}\) . . \(\displaystyle \L R_r\;=\;\frac{R_1R_2}{R_2\,+\,R_1}\)
