1.10 Exercises

1. For the circuit of Figure 1.21, it is known that v _C( 0 ^?) = 0 and i _L( 0 ^?) = 0. Compute and sketch v _C( t) and i _L( t) for t > 0.

   
   Figure 1.21: Circuit for Exercise 1

2. For the circuit of Figure 1.22, it is known that v _C( 0 ^?) = 0 and i _L( 0 ^?) = 0. Compute and sketch v _C( t) and i _L( t) for t > 0.

   
   Figure 1.22: Circuit for Exercise 2

3. In the circuit of Figure 1.23, the switch S has been closed for a very long time and opens at t = 0. Compute v _C( t) for t > 0.

   
   Figure 1.23: Circuit for Exercise 3

4. In the circuit of Figure 1.24, the switch S has been closed for a very long time and opens at t = 0. Compute v _C( t) for t > 0.

   
   Figure 1.24: Circuit for Exercise 4

5. In the circuit of Figure 1.25, the switch S has been in position A for closed for a very long time and it is placed in position B at t = 0. Find the value of R that will cause the circuit to become critically damped and then compute v _C