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1. ### Convergence Test (Comparison) Questions

Alright so I say that since 1/n in DIvergent and 1/n^2 is CONvergent, the sigma sigma overall is DIvergent? Not sure, 1/n^1.5?
2. ### Convergence Test (Comparison) Questions

How should I go about determining which 'in between' fraction is convergent? Do I use trial and error, and then solve it geometrically? Okay thanks for that so when I solve, I can just say that all values are positive for n≥1 and leave it to that. Then I solve without considering n=0. I...
3. ### Convergence Test (Comparison) Questions

Hello everyone, I need some help on doing convergence tests (comparisons I believe) on some Ʃ sums. I have three, they are: 1. Ʃ [ln(n)/n^2] from n=1 to ∞. I tried the integral test but was solved to be invalid (that is, cannot divide by infinity). Therefore I believe it to be a...
4. ### Finding orthogonal of two vectors

Homework Statement A vector in lR 3 (basis) has vector space V with the standard inner product. I need to find a vector in V which is perpendicular to both vectors v_1 = (1,2,1)^T and v_1 = (2,1,0)^T Homework Equations There is no real important equations other than just using...
5. ### Modern Physics Qs - Time Dilation & Relativity

Alright Doc al, it seems that what we started with is what we ended with, albeit now it's much more pellucid (clear - nice word right!). To summarize what has happened in this thread: 1) Part A and Part B triplet information was rearranged and caused a misunderstanding in the interpretation of...
6. ### Modern Physics Qs - Time Dilation & Relativity

You are right; A B C refer to the triplets. I have calculated the answers using Δt' equation and have found the answer to be such but this question has already been asked (http://au.answers.yahoo.com/question/index?qid=20100914220049AAG5sHf) and propose different answers. For ease, I copy and...
7. ### Modern Physics Qs - Time Dilation & Relativity

They are just arranged in a different manner. Since I answered with their abbreviations (ie. A, B, C), it makes sense that I organize it in such a manner. Therefore: A- T= 20 years, v=0.4 B- T= 10 years, v=0.8 C- T= 10 years, v=0.4 Part A = A B C but answer maybe B A C Part B = A B C but...
8. ### Modern Physics Qs - Time Dilation & Relativity

It is odd that the answer is uniformly fitting the given options; ie. A B C options are answered CORRECTLY as A B C I knew the answer to this but just wanted to double check for certainty. Thanks
9. ### Modern Physics Qs - Time Dilation & Relativity

Q1. Time Dilation Question Homework Statement Three identical triplets leave Earth when they reach the age of 21, in the year 2121. Each triplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as...
10. ### Young's experiment related questions

Hi, I'll be posting questions in relation to Young's experiment. My first question (for now): Given a set a of minima (m) values [were m is from -10 (included) to +10 (included)], their corresponding distance from central point (where laser beam shines if nothing obstructs its path) and...
11. ### Calculating Capacitance of LC Circuit

Mistake has been found, since ω is in rad/s, t needs to be in s, ∴ V=V.*cos(ωt) 0=V.*cos(0.0785*20) 0=V.*0.00 0=0 ..so it was really an error in calculating and not method. Therefore C=5.404Farads. Thank you
12. ### Calculating Capacitance of LC Circuit

Alright I got it. V=V.*cos(ωt) 0=V.cos(0.0785rad/s * 20s) 0=V.*0.001=V.*0 0=0 Thanks for the help gneill, I suppose the above therefore is correct. Answering the main question of this thread; Capacitance = 5.404 Farads Thank you
13. ### Calculating Capacitance of LC Circuit

Hi, I checked by calculating cos in radians and degrees but both equal a figure close to one but i need it to equal zero. Thank you
14. ### Calculating Capacitance of LC Circuit

1. Homework Statement Calculate capacitance of LC Circuit where: Inductor - 30H Capacitance voltage fully charged goes to zero in 20 seconds 2. Homework Equations Main Eq: V=V. *cost(ωt) where V is final Voltage, V. = Voltage initial, ω = resonant angular frequency ω = 1/√(LC)...
15. ### Calculating Capacitance of LC Circuit

Homework Statement Calculate capacitance of LC Circuit where: Inductor - 30H Capacitance voltage fully charged goes to zero in 20 seconds Homework Equations Main Eq: V=V. *cost(ωt) where V is final Voltage, V. = Voltage initial, ω = resonant angular frequency ω = 1/√(LC) = 2∏f f. =...
16. ### Calculate Heat loss without k (thermal constant)

Homework Statement An 16m by 9.0m house is built on a concrete slab 20cm thick. What is the heat-loss rate through the floor if the interior is at 29°C while the ground is at 19°C? Given: Area = 16*9 = 144m^2 DeltaX = 20cm = 0.2m DeltaT = 29-19 = 10°C k = not given H = ? Homework...