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Dave Tweed
Dave Tweed
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Power supplied by a Thevenin source

$$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}$$

Power supplied by its equivalent Norton source

$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & \left(\frac{V_{Th}}{R_{Th}}\right)^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when \$R_{Th} = R_L\$.

Is it true or am I missing something?

Power supplied by a Thevenin source

$$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}$$

Power supplied by its equivalent Norton source

$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when \$R_{Th} = R_L\$.

Is it true or am I missing something?

Power supplied by a Thevenin source

$$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}$$

Power supplied by its equivalent Norton source

$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & \left(\frac{V_{Th}}{R_{Th}}\right)^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when \$R_{Th} = R_L\$.

Is it true or am I missing something?

fix formatting
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Dave Tweed
Dave Tweed
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Power supplied by a Thevenin source

\$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}\$$$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}$$

Power supplied by its equivalent Norton source

\$P_{Norton} = I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L}\$$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when RTh = RL\$R_{Th} = R_L\$.

Is it true or am I missing something?

Power supplied by a Thevenin source

\$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}\$

Power supplied by its equivalent Norton source

\$P_{Norton} = I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L}\$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when RTh = RL.

Is it true or am I missing something?

Power supplied by a Thevenin source

$$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}$$

Power supplied by its equivalent Norton source

$$\begin{eqnarray} P_{Norton} & = & I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L} \\ & = & V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L} \end{eqnarray}$$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when \$R_{Th} = R_L\$.

Is it true or am I missing something?

fix formatting
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Dave Tweed
Dave Tweed
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Power supplied by a Thevenin source = VThVTh/(RTh+RL). Power supplied by its equivalent Norton source = IN^2(RThRL/(RTh+RL)) = (VTh/RTh)^2(RThRL/(RTh+RL)) = VTh^2(RL/RTh)/(RTh+RL)

\$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}\$

Power supplied by its equivalent Norton source

\$P_{Norton} = I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
So\$= (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L}\$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when RTh = RL. Is

Is it true or am I missing something? Thanks in advance for help.

Power supplied by a Thevenin source = VThVTh/(RTh+RL). Power supplied by its equivalent Norton source = IN^2(RThRL/(RTh+RL)) = (VTh/RTh)^2(RThRL/(RTh+RL)) = VTh^2(RL/RTh)/(RTh+RL) So power supplied by a Thevenin Source and its equivalent Norton source are equal only when RTh = RL. Is it true or am I missing something? Thanks in advance for help.

Power supplied by a Thevenin source

\$P_{Thevenin} = V_{Th}^2 \frac{1}{R_{Th}+R_L}\$

Power supplied by its equivalent Norton source

\$P_{Norton} = I_N^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= (\frac{V_{Th}}{R_{Th}})^2 \frac{R_{Th} R_L}{R_{Th}+R_L}\$
\$= V_{Th}^2 \frac{R_L/R_{Th}}{R_{Th}+R_L}\$

So power supplied by a Thevenin Source and its equivalent Norton source are equal only when RTh = RL.

Is it true or am I missing something?

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sushanta
sushanta
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