Question

Circuits

2. (45 pts) Use nodal analysis to find the node voltages, Va and Vb. Show and label each of the following node voltage method steps on your paper for your solution:

a. Redraw the circuit and annotate resistors with voltage polarities.

b. Select a reference node or ground and choose node voltage variables for each node where you do not know the node voltage.

c. Determine an equation (only in terms of constants and node voltage variables) for each current going into or out of each unknown node.

d. Write KCL at each unknown node using the equations for the current you determined in part c.

e. Simplify the equations and solve them simultaneously, if necessary, for the node voltages.  Verified ### Question 52583  Circuits

Problem 3 For the following circuit, use nodal analysis to write the FOUR equations in standard form. DO NOT SOLVE. You must identify any quasi-supernodes, supernodes, auxiliary equations, and remove dependent variables. Your final equations may only have V₁, V2, V3 and/or V4 as unknowns. Put your final equations in standard form in the box provided.

### Question 52582  Circuits

Problem 2 For the following circuit, write the FOUR mesh equations in standard form. DO NOT SOLVE. You must identify any super meshes, auxiliary equations, and re-move all dependent variables. Your equations may only have 11,12,13 and/or 14 as unknowns. Put your final equations in standard form in the box provided.

### Question 52581  Circuits

Problem 1.1 Determine Reg in Ohms at the (a,b) terminals for the following circuit. Round your answer to the nearest single digit decimal place (tenths).
Problem 1.2 Determine the voltage V, in Volts for the following circuit. Round your answer to the nearest single digit decimal place (tenths).
Problem 1.3 Determine the current I, in Amps for the following circuit. Round your answer to the nearest single digit decimal place (tenths).
Problem 1.4 Determine the power, P3n, delivered to the 302 resistor in Watts for the following circuit.Round your answer to the nearest single digit decimal place (tenths).

### Question 45529  Circuits

11) From your answer in (10), does the 4V 'DC' or steady state voltage impact the value of the displacement current, Ic.

### Question 45528  Circuits

\text { 10) Assuming } I_{C}=C \frac{d V_{C}}{d t} \text {, find the displacement current for } V_{C}=e^{-\omega t}+4 V \text { and } V_{C}=
sin(wt) + 4 V.

### Question 45527  Circuits

9) Based on your answer in (7), can you apply an arbitrarily large field or voltage across a dielectric? What is the name for this limitation and what is its value for Air and Glass (SiO2)?

### Question 45526  Circuits

8) Remembering quantum tunneling from Chapter 3, what is happening to the probability of a tunneling event as the "thickness" of the barrier representing the dielectric decreases?

### Question 45525  Circuits

7) What happens to the relative "thickness", or distance an electron must travel in a straight line across the dielectric, as you increase the voltage?

### Question 45524  Circuits

6) Redraw the diagram in (5) with a small positive voltage on the right-hand side (no voltage or OVon the left-hand side).

### Question 45523  Circuits

5) Draw the energy band diagram of a capacitor made of two aluminum plates with a glass dielectric. The capacitor should have zero applied voltage.

### Submit query        