Chapter 2 problems

2.10

2.10a

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

2.10b

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

2.10c

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

2.10d

$V_{o}+2-5=0\Longrightarrow V_{o}=3$

2.22

Nodal equation at $V_{+}$

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

Nodal equation at $V_{-}$

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