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Science
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Electrical Engineering
Kirchhoff's Laws and Circuits
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Terms in this set (9)
1st Law
Sum of current in is equal to the sum of current out at any point in a wire.
2nd Law
In any circuit the sum of the electromotive force is equal to the sum of the p.d.s around a closed loop.
Current in a Series Circuit is...
(Series)
The same in every position because there is only one path for the current to take.
Components in a Series Circuit...
(Series)
The EMF is shared between the components as the circuit only has one closed loop. If the circuit contains two components with the same resistance the EMF is shared equally between them.
Additional Components (Series)
Adding additional components in series reduces the EMF that is shared between the original components.
Current in a Parallel Circuit is...
(Parallel)
Split between each possible path. How much charge flows down each path depends on the resistance of the path. The greater the resistance of the path the lower the current that passes through it.
Parallel Branches (Parallel)
If changes are made to one branch the others aren't affected as each parallel branch can be thought of as a separate circuit.
Resistors Connected in Series
(Series)
When resistors are connected in series each additional resistor effectively increases the length of the path taken by the charges and so the more resistors you add the greater the resistance becomes.
Therefore Rt = R1 + R2 + R3 ...
Resistors Connected in Parallel
(Parallel)
When resistors are connected in parallel the total resistance actually drops. The additional resistors provide another path for the current increasing the CSA and so lowering the resistance.
So 1/Rt = 1/R1 + 1/R2 ...
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Verified questions
ENGINEERING
A tablet computer transmits a file over a wi-fi link to an access point. Depending on the size of the file, it is transmitted as N packets where N has PMF $$ P_{N}(n)=\left\{\begin{array}{ll}{c / n} & {n=1,2,3,} \\ {0} & {\mathrm { otherwise. }}\end{array}\right. $$ (a) Find the constant c. (b) What is the probability that N is odd? (c) Each packet is received correctly with probability p, and the file is received correctly if all N packets are received correctly if all N packets are received correctly. Find P[C], the probability that the file is received correctly.
ENGINEERING
Suppose that two numbers in signed two’s-complement form have been added. $S_1$ is the sign bit of the first number, $S_2$ is the sign bit of the second number, and $S_T$ is the sign bit of the total. Suppose that we want a logic circuit with output E that is high if either overflow or underflow has occurred; otherwise, E is to remain low. 1. Write the truth table. 2. Find an SOP expression composed of minterms for E. 3. Draw a circuit that yields E, using AND, OR, and NOT gates.
ENGINEERING
Euler–Cauchy vs. RK. Consider the initial value problem (17) y'=(y-0.01x²)²sin(x²)+0.02x, y(0)=0.4 (solution:y=1/[2.5-S(x)]+0.01x² where S(x) is the Fresnel integral. (a) Solve (17) by Euler, improved Euler, and RK methods for 0≤x≤5 with step h=0.2. Cumpute the errors for x=1, 3, 5 and comment. (b) Graph solution curves of the ODE in (17) for various positive and negative initial values. (c) Do a similar experiment as in (a) for an initial value problem that has a monotone increasing or monotone decreasing solution. Compare the behavior of the error with that in (a). Comment.
ENGINEERING
An electric motor can be modeled as a series combination of a 12 Ω resistor and 200-mH inductor. If a current i(t) = 2te⁻¹⁰ᵗ A flows through the series combination, find the voltage across the combination.