Refer to the circuit compute the circuit time constant

Question

Q1. Refer to the circuit below:

a. Compute the circuit time constant.

b. Obtain an expression for v_x(t) valid foe all t.

c. If the dependent source is installed in the circuit upside down, find the new time constant for the circuit.

d. Are both circuit configuration "stable"?

Q2. (a) Find the Thevenin equivalent circuit across the 10 ohms regitor

i. Find VOC

ii. Find ISC

iii. Calculate Rthevenin

(b) Calculate the Power absorbed at the 10 ohms resistor using the Thevenin equivalent circuit.

(c) Calculate the current I by making use of source transformations in the circuit below.