(Solved): The switch was in position \( A \) for a long time and is moved - instantaneously - to position ...

The switch was in position \( A \) for a long time and is moved - instantaneously - to position \( B \) at time \( \mathrm{t}=0 \). 1. Find \( V_{c}(t) \) for \( t \geq 0 \). 2. Find \( V_{o}(t) \) for \( t \geq 0 \). 3. Find \( i_{o}(t) \) for \( t \geq 0 \). 4. Find total energy dissipated in the \( 40 \mathrm{k} \Omega \) resistor. Answers: 1. \( V_{c}(t)=36 e^{-104 \frac{1}{6} t} V \) for \( t \geq 0 \) 2. \( V_{o}(t)=22.5 e^{-104 \frac{1}{6} t} V \quad \) for \( t \geq 0 \) 3. \( i_{0}(t)=562.5 e^{-104 \frac{1}{6} t} \mu A \quad \) for \( t \geq 0 \) 4. \( E=60.75 \mu \mathrm{J} \)