Consider a LRC-circuit with L=1 (h), R = 2(ohms), and C = 0.25
(f). Suppose the...
Consider a LRC-circuit with L=1 (h), R = 2(ohms), and C = 0.25
(f). Suppose the EMF is given by
E(t) = 1 0 < t <= 1
E(t)= -1 1 < t <= 2
where E(t + 2) = E(t). Solve the equation using Fourier Series
representation for E (use constant terms and two nonzero sine and
cosine terms).
[Series circuit analogue: RLC circuit with nonzero resistance R
and nonzero voltage E(t) as forcing function...
[Series circuit analogue: RLC circuit with nonzero resistance R
and nonzero voltage E(t) as forcing function is analogous to a
forced damped spring/mass system.] Consider the RLC circuit with
inductance L = 8 henrys, resistance R = 16 ohms, capacitance C =
0.025 farads, and voltage E(t) = 17 cos 2t volts.
(a) Find the current in the circuit for t > 0, given that at
time t = 0 the capacitor is uncharged and there is no current
flowing....
A RLC circuit, L=1H, C=0.002F, R=5 ohm
q(0)=0, i(0)=0
E(t)=10-10u(t-0.5)
Find q(t) using Laplace transform
A RLC circuit, L=1H, C=0.002F, R=5 ohm
q(0)=0, i(0)=0
E(t)=10-10u(t-0.5)
Find q(t) using Laplace transform
1. Set L = 5 mH, C = 8 µF, R = 0 Ω,
and Q...
1. Set L = 5 mH, C = 8 µF, R = 0 Ω,
and Q = 2E-6 C. Measure the maximum current through the circuit,
and the period of the oscillation.
Now increase the inductance of the inductor by 50% to 7.5 mH
calculate max current = ________ A period T =
________ s.
2. Reset to L = 5 mH, C = 8
µF, keep R = 0 Ω, and Q = 2E-6 C.
Keeping the charge on the...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3,...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3, E:4, F:5, G:6, H:7, I: 8, J: 9, K:10, L:11,
M:12, N:13, O:14, P:15, Q:16, R:17, S:18, T:19, U:20, V:21, W:22,
X:23, Y:24, Z:25.
Encrypt the following message using Vigenere Cipher with key:
CIPHER
THISQUIZISEASY
What is the ciphertext? Show your work.
PLEASE HELP
Week 2 HW: Elasticity
Step 1 - E L A S T I C or INELASTIC?...
Week 2 HW: Elasticity
Step 1 - E L A S T I C or INELASTIC?
Price Elasticity of Demand is a measure of how responsive demand
is to a change in price. If a price change leads to a considerably
bigger change in quantity demanded, we would consider the good to
be responsive to a price change—hence elastic. If,
however, a similar price change leads to a much smaller change in
demand, we would consider it inelastic.
To get...
1) State the main difference between an ODE and a PDE?
2) Name two of the...
1) State the main difference between an ODE and a PDE?
2) Name two of the three archetypal PDEs?
3) Write the equation used to compute the Wronskian for two
differentiable
functions, y1 and y2.
4) What can you conclude about two differentiable functions, y1 and
y2, if their
Wronskian is nonzero?
5) (2 pts) If two functions, y1 and y2, solve a 2nd order DE, what
does the Principle of
Superposition guarantee?
6) (8 pts, 4 pts each) State...