Chapter 2 problems

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2.10

2.10a

$\frac{V_{o} - 0}{1000} + . 002 = 0 ⟹ V_{o} = - 2$

2.10b

$\frac{V_{o} - 5}{3000} + . 002 = 0 ⟹ V_{o} = - 1$

2.10c

$\frac{V_{o} - 0}{15000} = 0 ⟹ V_{o} = 0$

2.10d

$V_{o} + 2 - 5 = 0 ⟹ V_{o} = 3$

2.22

Nodal equation at $V_{+}$

$\frac{V_{A} - V_{+}}{R_{A}} + \frac{V_{B} - V_{+}}{R_{B}} = 0 ⟹ V_{+} = \frac{V_{A} R_{B} + V_{B} R_{A}}{R_{B} + R_{A}}$

Nodal equation at $V_{-}$

$\frac{V_{o} - V_{-}}{R_{2}} + \frac{0 - V_{-}}{R_{1}} = 0 ⟹ V_{o} = \frac{(V_{A} R_{B} + V_{B} R_{A}) (R_{1} + R_{2})}{(R_{B} + R_{A}) R_{1}}$

2.43

2.47

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