Whakaoti i te 1/R=1/R_{1}+1/R_{2}

$$\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } }$$

Whakaoti mō R

$$R=\frac{R_{1}R_{2}}{R_{1}+R_{2}}$$

$$R_{2}\neq 0\text{ and }R_{1}\neq 0\text{ and }R_{1}\neq -R_{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe R ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te RR_{1}R_{2}, arā, te tauraro pātahi he tino iti rawa te kitea o R,R_{1},R_{2}.

$$R_{1}R_{2}=RR_{2}+RR_{1}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$RR_{2}+RR_{1}=R_{1}R_{2}$$

Pahekotia ngā kīanga tau katoa e whai ana i te R.

$$\left(R_{2}+R_{1}\right)R=R_{1}R_{2}$$

He hanga arowhānui tō te whārite.

$$\left(R_{1}+R_{2}\right)R=R_{1}R_{2}$$

Whakawehea ngā taha e rua ki te R_{1}+R_{2}.

$$\frac{\left(R_{1}+R_{2}\right)R}{R_{1}+R_{2}}=\frac{R_{1}R_{2}}{R_{1}+R_{2}}$$

Mā te whakawehe ki te R_{1}+R_{2} ka wetekia te whakareanga ki te R_{1}+R_{2}.

$$R=\frac{R_{1}R_{2}}{R_{1}+R_{2}}$$

Tē taea kia ōrite te tāupe R ki 0.

$$R=\frac{R_{1}R_{2}}{R_{1}+R_{2}}\text{, }R\neq 0$$

Whakaoti mō R_1

$$R_{1}=-\frac{RR_{2}}{R-R_{2}}$$

$$R_{2}\neq 0\text{ and }R\neq 0\text{ and }R\neq R_{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe R_{1} ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te RR_{1}R_{2}, arā, te tauraro pātahi he tino iti rawa te kitea o R,R_{1},R_{2}.

$$R_{1}R_{2}=RR_{2}+RR_{1}$$

Tangohia te RR_{1} mai i ngā taha e rua.

$$R_{1}R_{2}-RR_{1}=RR_{2}$$

Pahekotia ngā kīanga tau katoa e whai ana i te R_{1}.

$$\left(R_{2}-R\right)R_{1}=RR_{2}$$

Whakawehea ngā taha e rua ki te R_{2}-R.

$$\frac{\left(R_{2}-R\right)R_{1}}{R_{2}-R}=\frac{RR_{2}}{R_{2}-R}$$

Mā te whakawehe ki te R_{2}-R ka wetekia te whakareanga ki te R_{2}-R.

$$R_{1}=\frac{RR_{2}}{R_{2}-R}$$

Tē taea kia ōrite te tāupe R_{1} ki 0.

$$R_{1}=\frac{RR_{2}}{R_{2}-R}\text{, }R_{1}\neq 0$$