$$V_o = \frac{V_s \cdot R_2}{R_1 \cdot (1+R_2/R_L)+R_2}$$
I need to derive this equation given this circuit:
This is what I have so far.
$$I=\dfrac{V_s}{R_1+\dfrac{R_2 \cdot R_L}{R_2+R_L}}$$
$$V_{R_L} = I \cdot R_L$$
Where am I going wrong?
circuit analysis
$$V_o = \frac{V_s \cdot R_2}{R_1 \cdot (1+R_2/R_L)+R_2}$$
I need to derive this equation given this circuit:
This is what I have so far.
$$I=\dfrac{V_s}{R_1+\dfrac{R_2 \cdot R_L}{R_2+R_L}}$$
$$V_{R_L} = I \cdot R_L$$
Where am I going wrong?
Best Answer
If R\$_L\$ wasn't present the voltage output would just be: -
\$V_{S}\times\dfrac{R_2}{R_1 + R_2}\$
So, adjust R2 mathematically to account for R\$_L\$ being in parallel with it.
Can you take it from here?