Type or paA series RLC circuit with a resistance of 116.0 Ω has a resonance angular frequency of 5.1 ✕ 10⁵ rad/s. At resonance, the voltages across the resistor and inductor are 60.0 V and 40.0 V, respectively.

(a) Determine the values of L and C.

(b) At what frequency does the current in the circuit lag the voltage by 45°?
Please show every step of your calculation for part b of how you get to the frequency. I have looked at many other similar question for part b already and can't figure out how others solve for part b because they skip steps in their calculation for part b. Maybe I'm lacking in math skill. I don't know.

ne is able to use Gin (G) and Vermouth (V) to produce martini. A regular martini is produced with 2 portions Gin for 1 portion Vermouth. A dry martini is produced with 5 portions Gin and 1 portion Vermouth. The prices of a regular martini (PM) and a dry martini (PD) are fixed. You have a given supply to both Gin (G) and Vermouth (V).

Derive the production possibility frontier of martini, with QM, the quantity of regular martini on the y-axis and QD, the quantity of regular martini on the x-axis. For what range of prices you only produce/sell dry martini? a) Draw the relative supply curve using the relevant axes. Label your plot as thoroughly as possible.

A professor tests whether the loudness of noise during an assignment (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test.

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)
=  

Decide whether to retain or reject the null hypothesis.

Retain the null hypothesis.Reject the null hypothesis.   

(b) Compute effect size using Cramer's V. (Round your answer to two decimal places.)
V =

(2:) Q: What can you do to make a parallel-plate capacitor larger? There are several things. Describe as many as you can.

In the RC circuit to the right, the capacitor C has a value of 10 LiF and the resistor is 144 kQ. The battery has an EMF of 16 V.
The circuit is assembled with capacitor is uncharged. At t = 0 s terminal A is cormected to terminal 8, causing the battery to charge the capacitor.

(i) What is the half-life (s) of this circuit? At the time of t = 0.54 s:

(ii) Calculate the voltage of the capacitor.
(iii) Calculate the voltage across the resistor.
(iv) Calculate the current flowing through the circuit. (v) Calculate the power being dissipated in the resistor.

Suppose that the S&P 500, with a beta of 1.0, has an expected return of 11% and T-bills provide a risk-free return of 6%.

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.)

A single- phase full- wave rectifier is used to control the speed of a 5- hp, 110- V, 1200- rpm, separately- excited dc motor. The converter is connected to a single- phase, 120- V, 60- Hz supply. The motor has a winding resistance of 0.4ohms and an inductance of 5 mH, and a voltage constant K=0.09V/rpm.

a. During the motoring operation, the motor runs at 1000 rpm and receives an armature current of 30 A. Determine the corresponding firing angle and the power to the motor.

b. The polarity of the emf is reversed to get a regenerative action. Determine the firing angle required to keep the motor speed at 1000 rpm with an armature current of 30A. What is the power fed back to the supply under these conditions?

1. Use Excel to plot x(t) versus time for 2 periods of the motion. Use the equations from
the lecture notes that are from the book. Put this in an Excel sheet call x_t

x(t) = A cos(ωt)

2. Use Excel to plot v(t) versus time for 2 periods of the motion. Use the equations from
the lecture notes that are from the book. Put this in an Excel sheet call v_t

v(t) = -ωAsin(ωt)

3. Use Excel to plot a(t) in m/s2 versus time for 2 periods of the motion. Use the equations
from the lecture notes that are from the book. . Put this in an Excel sheet call a_t

a(t) = -ω2Acos(ωt)

A psychologist studying addiction tests whether cravings for cocaine and relapse are independent. The following table lists the observed frequencies in the small sample of people who use drugs.

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)
=

(b) Compute effect size using ϕ and Cramer's V. Hint: Both should give the same estimate of effect size. (If necessary, round your intermediate steps to two or more decimal places. Round your answers to two decimal places.)

The potential barrier is defined by V(x) = ((A^2-(x^2)*(b^2))^0.5  where x is less than or equal to A/b.

First we want to sketch V(x)

Then we run a particle into it wth mass m and energy E (which is less than A). Now that we have run the particle into it we are asked to derive an expression for the probability of penetration in terms of D = E/A and sin (y) = bx/A.

Finally, we are to evaluate our expression in numerically for D=0.1 to 1.0 in steps of 0.1 for an electron stricking such a barrier with A=10 eV and b=2eV/angstrom.

Help!! I have no idea how to start this monster. How do I sketch this??