Find the equivalent resistance of this circuit. First, what is the equivalent resistance, Req(23), of the parallel combination of R2 and R3?​

Find the equivalent resistance of this circuit First what is the equivalent resistance Req23 of the parallel combination of R2 and R3 class=

Respuesta :

[tex]R_{eq(23)} = \left(\dfrac 1{R_2} + \dfrac{1}{R_3}\right)^{-1}\\\\\\~~~~~~~~~= \left( \dfrac 1{200} + \dfrac 1{300} \right)^{-1}\\\\~~~~~~~~~=\left( \dfrac{5}{600} \right)^{-1}\\\\\\~~~~~~~~~=\dfrac{600}5\\\\\\~~~~~~~~~= 120~ \Omega[/tex]

Step-by-step explanation :

Here we have to calculate the equivalent resistance of the parallel combination between R2 and R3.

As we know that,

  • 1/Rp = 1/R2 + 1/R3 ... n

>> 1/Rp = (1/200) + (1/300)

>> 1/Rp = (300 + 200 / 600)

>> 1/Rp = 500 / 600

>> 1/Rp = 5 / 6

>> Rp = 6 / 5

>> Rp = 1.2Ω

Therefore,

  • Resistance in parallel combination is of 1.2Ω