Mathematics: Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1.

ur momStep-by-step explanation:...

Rewrite the equation to represent the resistance

Ответ:

maleah12x

03.01.2021

Mathematics

$R_2 = \frac{R_TR_1}{(R1-RT)} \\$

Step-by-step explanation:

Since we are not given the equation, we can as well use the equation below;

$\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}$

We are to make R2 the subject of the formula;

First find the LCM;

$\frac{1}{R_T} = \frac{R_2+R_1}{R_1R_2} \\Cross \ multiply\\R_1R_2 = R_T(R_2+R_1)\\R_1R_2 = R_TR_2+R_TR_1\\R_1R_2-R_TR_2= R_TR_1\\factor \ out \ R_2\\R_2(R1-RT) = R_TR_1\\R_2 = \frac{R_TR_1}{(R1-RT)} \\$

Hence the equation representing the resistance of resistor 2, R2, in terms of RT and R1 is expressed as $R_2 = \frac{R_TR_1}{(R1-RT)} \\$

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Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1.

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