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Kirchhoff's Voltage Law

Kirchhoff’s Voltage Law states that the total voltage around a closed loop must be zero. This is the result of the electrostatic field being conserved. If Kirchhoff’s Law were not true, then we would travel around a closed loop and the voltage would be indefinite.

∑V = 0

The Kirchhoff’s voltage equation is obtained by traversing a circuit loop in either direction and writing down unchanged the voltage of each element whose “+” terminal is entered first and writing down a negative of every element’s voltage where the minus sign is met. The loop must state and end at the same point however it does not matter where you start on the loop.

The current direction must be assumed. The assumed current creates a voltage across each resistor and fixes the position of the positive and minute signs so that the passive sign convention is obeyed. The assumed current direction and polarity of the voltage across each resistor must be in agreement with the passive sign convention for the analysis to work

Circuit Theory

Please review the below questions and give fully worked out answers and explainations where appropriate so it can assist in my further understanding of electrical and electronic circuit theory for complex simultaneous equations, mesh analysis, and Kirchoffs Laws.

A third year engineering student is designing a modulating circuit in a simulator. The completed schematic is shown in Figure Q4. When he simulates the output, the circuit seems to be working fully. He now takes a demodulating circuit which he has successfully designed and tested previously on a similar modulator and finds that he is getting distortion at the output. Component A1 represents a balanced modulator. The voltages for sources V1 and V2 have been measured with a multi-meter and are 2 and 3 rms V respectively. The carrier and message are both sinusoidal. a. What type of modulation is he trying to perform? Motivate your answer. b. Explain the operation of A1. Draw a block diagram to aid your explanation. c. Draw the double-sided magnitude spectra of the signal at the output of the circuit (pin 6). d. If the ratio of the power in the sidebands to the power in the carrier is four times that of the efficiency. Find the values for the resistors 1 R and 2 R and 3 R given that 2 R is two times 3 R and the square of 1 R is two times 3 R plus one. e. If he has used the same demodulating circuit, what is the reason for the distortion at the output? How would you correct this?

A third year engineering student is designing a modulating circuit in a simulator. The completed schematic is shown in Figure Q4. When he simulates the output, the circuit seems to be working fully. He now takes a demodulating circuit which he has successfully designed and tested previously on a similar modulator and finds that

Plotting a Direction Field

A circuit contains an electromotive force [E(t)], a capacitor with capacitance of C Farads, and a resistor with a resistance of R ohms. The voltage drop across the capacitor is Q/C where Q is the charge in Coulombs, so Kirchoff's Law gives R * I + Q/C = E(t) But I = dQ/dt, so R * dQ/dt + 1/C * Q = E(t) If the resist

current in RL circuit..

An electric circuit with an ohmic resistor R and an inductance L will exhibit a certain delay in approaching the (asymptotic) saturation current I_infinity=U/R in response to a voltage source U. Using Kirchoff's circuit laws, electrical engineers have proposed the equation dI/dt=-R/L I+U/L for describing the time dependence I(


Please show as much working as possible and comment where possible. Please refer to attached diagrams for complete questions and mentioned figures. 1. The diagram below shows an autotransformer represented as two separate inductors, L1 and L2, magnetically coupled with a coupling coefficient k. a) Apply Kirchhoff's volta

Applying Kirchoff's Laws

The diagram of the circuit in the attached file is composed of two batteries (e1 = 9 V and e2 = 6 V) and four resistors (R1 = 110 ohm, R2 = 40 ohm, R3 = 50 ohm, and R4 = 50 ohm) as shown. (a) What is the current I1 which flows through R1? (b) What is the current I3 that flows through R3? Because of the presence of batte

Electric Circuit Calculations

Calculate v1 v2 v3 and i1 i2 and 13 if Vs=8v and R1=560 ohms, R2=330 ohms, R3=820 ohms, R4=1000 ohms, R5= 4.7k ohms. See attached file for full problem description.

Current, voltage, power

Please see attached. Need assistance with problems 6 and 2 showing all equations used and all math used, symbols, numbers etc and do each step by step. Adult learning here! Thanks! Questions: (1) How much energy does a 100 W electric bulb consume in 2 hours? (2) A store element draws 15 A when connected to a 130 V line.

Circuits and currents: In series, in parallel for battery connection

1. You connect a number of identical light bulbs to a flashlight battery. What happens to the brightness of each bulb as more bulb as more bulbs are added to the circuit if you connect them in a) series; b) parallel? Will the battery last longer if the bulbs are in series or parallel? 2. In a two-cell flashlight, the batteri

Kirchoff's Law

Please see attached. Numerical Answer is included in attachment I really need to see the step by step process to solve this problem. Draw the diagram of the loop used for each equation. Have fun... Thanks P.S. Scanned answers are acceptable, please write legibly. Find the linear system of equations using Kirchoff's la

Kirchoff's Law with Potential Difference, Current and Resistors

With using Kirchoff's law equations, find potential difference and current for each resistor. First find the relationship between potential difference and current, and then find the specific values. Refer to diagram for resistor layout. R1=5 (ohm) (All is in OHM) R2=9650 R3=550 r4=995 r5 13730 V=1.5V

Triangular Factorization : Kirchoff's Voltage Law

4. Kirchhoff's voltage law says that the sum of the voltage drops around any closed path in the network in a given direction is zero. When this principle is applied to the circuit shown in Figure 3.5, we obtain the following linear system of equations: (R1+R3+R4)I1+ R3I2+ R4I3=E1 (1) R311 + (R2 + R3 + R5)12 ? R513 = R411 ? R5

Circuit Elements - Voltage and Power

A) Find the currents ... b) Find the voltage ... c) Verify that the total power developed ... Please see attachment for complete question and diagram.

Circuit Elements - Power

Find (a), (b) and (c) the power delivered by the independent current source Please see the attachment for the complete question and diagram. Thanks.

Simple circuits

M4. Solve problems in simple circuits with one voltage source and parallel/series combinations of resistive loads. Task 1. a) State Ohm's Law b) State Kirchoff's current Law. c) State Kirchoff's voltage Law. Please see attached.

Circuit Calculation

For the attached circuit, find Vx, I1, and I2. a) Vx=5V, I1=0.5A, I2=0.5A b) Vx=10V, I1=0.5A, I2=1A c) Vx=2.5V, I1=0.75A, I2=0.25A d) Vx=7.5V, I1=0.25A, I2=0.75A

Electronics: Using Voltage

Instructions: When asked to "Derive an Expression", do so providing proof. In schematics, ground and chassis may be assumed to be common, unless specifically stated otherwise. Unless otherwise specified, assume that Op-Amp supply voltages are. Hi, I need assistance with the following practice problem in the attachment. I am

Find ix if Vs (t)=90

Use kirchoffs current law and Kirchoffs voltage law to find ix if Vs(t) = 90u(t)V and is(t)=6u(t)A.