2.3-4 For an energy signal g(t) with energy Eg, show that the energy of any one of the signals -8(1), g(-1), and g(t – T) is Eg. Show also that the energy of g(at) as well as g(at – b) is Eg /a. This shows that time inversion and time shifting do not affect signal energy. On the other

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.

Shown in the figure below is an electrical circuit containing three resistors and two batteries. R1 10 R2 I2 R3 Write down the Kirchhoff Junction equation and solve it forI, in terms of J, and I. Write the result here: Write down the Kirchhoff Loop equation for a loop that starts at the lower left comer and follows the perimeter of the circuit diagram dockwise. Write down the Kirchhoff Loop equation for a loop that starts at the lower left comer and touches the components 4V, R, and Rg. The resistors in the circuit have the following values: . R,70 • R=10 Solve for all the following (some answers may be negative): Amperes Amperes Amperes

Shown in the figure below is an electrical circuit containing three resistors and two batteries. R3 10 R2 R1 Write down the Kirchhoff Junction equation and solve it for I, in terms of I, and Iz. Write the result here: 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. Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components R1, R2, and 4V. The resistors in the circuit have the following values: R, = 130 • R2 = 50 R3 = 10 Solve for all the following (some answers may be negative): | Amperes I = I, = Amperes Iz = Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like RR2,R3 and I,,12,13. Use numerical values of 10 and 4 for the voltages.