(c) Let R₁ = R₂ = R3 = = 1. Find Us 1, Us2 that yield i1 = 1, 12 = -4,13 = 5. Is this possible? Why? (d) Repeat (c) with i₁ = 2, 12 = 0, i3 = -3. What is different this time?
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- Figure 2 shows three "LC" circuits, two of them with capacitance capacitors "C" and the three with inductance coils "L", the three circuits are coupled by means of two capacitance capacitors "Cc". The currents that circulate through each mesh are those indicated in the figure: "I1", "I2" and "I3". Using Kirchhoff's law for voltages and taking into account the definition of current I = −dQ / dt, find the system of coupled equations of the system and then find the normal angular frequencies of the system.For the network shown in figure (3), if the switch is closed for 2usec and then opened for Susec, find mathematical expressions for vi and in of both periods of time and then plot the waveforms of vL and i as a function of time.2.)What is the difference between Ampere's law and Biot-Savart's law?
- A circuit consists of an AC voltage source, a 10-ohm resistor, and a capacitor, all connected in series. The magnitude of the impedance of the capacitor is also 10 ohms. Which of the following is true about the source voltage and the current through the circuit? a. Insufficient information is given. b. The source voltage will lag the current. c. The source voltage will lead the current. d. The source voltage will be in-phase with the current.B.. What is the load current for the circuit shown in the figure? Please choose one: a. 6.0 mA b. 3.0 mA C. 9.0 mA D. 7.5 mASHOW COMPLETE SOLUTIONNNN
- 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 AmperesThe picture shows three LC circuits, two of them with capacitors of capacitance C and the three with coils of inductance L, the three circuits are coupled by means of two capacitors Cc capacitors.L inductance coils, the three circuits are coupled by means of two capacitors of capacitance Cc. The currentscirculating through each mesh are those indicated in the figure: I1, I2 and I3. Using Kirchhoff's law for voltagesand taking into account the definition of current I = -dQ/dt, find the system of coupled equations for the systemand then find the angular normal frequencies of the system.If /1 goes to the right through R1, 12 goes to the right through R2, and /3 goes to the right through R3, what is the resulting equation resulting from applying Kirchhoff's junction rule at point b? Please show solution not only ansSwer. 8.0V R 9.0 V a
- (a) A potential divider is formed from two elements with impedances, Z₁ and Z2. Sketch the layout and write down the equation for the voltage gain.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.Consider the circuit shown in Figure P1.66. a. Which elements are in series?b. Which elements are in parallel?c. Apply Ohm’s and Kirchhoff’s laws to solve for V x.