Consider an LTI system with impulse response h(t) = u(t), find out the output y(t) for a given input x (t) = 2A(t-1). A(t) Hint: tri(t) = A(t)= for 21 1 1- for -1 0

Shown in the figure below is an electrical circuit containing three resistors and two batteries. I₁ 0= 4 + L . ww R3 R₂ ww 1₂ R₁ ww Write down the Kirchhoff Junction equation and solve it for I, in terms of I₂ and I3. Write the result here: 1₁ = 12-13 R₂=552 R₂ = 132 13 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. - IzR3 − LR₁ + 14 + 10 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R₂, and R₁. 0 = 4-1₂R₂-11R₁ The resistors in the circuit have the following values: R₁ = 12 Solve for all the following (some answers may be negative): I₁ = 27.78 X Amperes 1₂ = 28.84 X Amperes 13 = 1.060 X Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R₁,R₂,R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.

Consider the circuit shown below. R1 = 100 N R2 = 100 N C1 10 mF V = 12 V R3 3 100 N C, = 4.7 mF %3D %3D a. After the switch has been closed for a very long time, what are the voltages across the capacitors C1 and C2? Hint for (a) Voltage across C1 is V, and voltage across C2 is V. b. After the switch has been closed for a very long time, what is the energy stored in each capacitor? Hint for (b) Energy stored on C, is J, and energy stored on C, is J.

"To solve a circuit" means to use the values of potentials and resistances to find all currents passing through, and voltage drops across all elements in the circuit. Create a general procedure to solve any circuit DC circuit with any number of resistors. You may use the Structure Physics Problem-Solving Method as a model.