Whakaoti i te 9L=dZ*varepsilon

$$9 L = d Z \cdot \varepsilon$$

Whakaoti mō Z (complex solution)

$$\left\{\begin{matrix}Z=\frac{9L}{d\epsilon }\text{, }&\epsilon \neq 0\text{ and }d\neq 0\\Z\in \mathrm{C}\text{, }&\left(\epsilon =0\text{ or }d=0\right)\text{ and }L=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$dZ\epsilon =9L$$

He hanga arowhānui tō te whārite.

$$d\epsilon Z=9L$$

Whakawehea ngā taha e rua ki te d\epsilon .

$$\frac{d\epsilon Z}{d\epsilon }=\frac{9L}{d\epsilon }$$

Mā te whakawehe ki te d\epsilon ka wetekia te whakareanga ki te d\epsilon .

$$Z=\frac{9L}{d\epsilon }$$

Whakaoti mō L

$$L=\frac{Zd\epsilon }{9}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$9L=Zd\epsilon$$

Whakawehea ngā taha e rua ki te 9.

$$\frac{9L}{9}=\frac{Zd\epsilon }{9}$$

Mā te whakawehe ki te 9 ka wetekia te whakareanga ki te 9.

$$L=\frac{Zd\epsilon }{9}$$

Whakaoti mō Z

$$\left\{\begin{matrix}Z=\frac{9L}{d\epsilon }\text{, }&\epsilon \neq 0\text{ and }d\neq 0\\Z\in \mathrm{R}\text{, }&\left(\epsilon =0\text{ or }d=0\right)\text{ and }L=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$dZ\epsilon =9L$$

He hanga arowhānui tō te whārite.

$$d\epsilon Z=9L$$

Whakawehea ngā taha e rua ki te d\epsilon .

$$\frac{d\epsilon Z}{d\epsilon }=\frac{9L}{d\epsilon }$$

Mā te whakawehe ki te d\epsilon ka wetekia te whakareanga ki te d\epsilon .

$$Z=\frac{9L}{d\epsilon }$$