Question 1.P.46: Find the equivalent Norton circuit of the circuit shown in t......

Find the equivalent Norton circuit of the circuit shown in the following figure.

1.46
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Replacing 10 Ω resistance by short circuit, we have

\begin{aligned} & \frac{V_{ A }-30}{5}+5+\frac{V_{ A }}{5}=0 \\ & \frac{V_{ A }-30+25+V_{ A }}{5}=0 \\ & 2 V_{ A }=5 \Rightarrow V_{ A }=2.5  V \\ & I_{ sc }=\frac{2.5}{5}=0.5  A \end{aligned}

For R_{ Th } between A and B, we have

R_{ Th }=\frac{10 \times 10}{20}=5  \Omega

The equivalent Norton circuit is

fig
1.46.2

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