# Recent content by BMW

1. ### Phase in LCR circuits

In an LCR circuit (circuit with inductor, capacitor and resistor), are the following statements always true? The capacitor voltage always lags the resistor voltage by a phase difference of 90°. The inductor voltage always leads the resistor voltage by a phase difference of 90°. The current...
2. ### Leibniz notation

Sorry I should have explained it better. When you rearrange the equation, you get the x and dx on one side, and the y and dy on the other side. Do you have to make each side an integral? E.g. does it have to be ∫x dx = ∫y dy, or can you rearrange to x dx = y dy? If you can, what does the...
3. ### Leibniz notation

If you have a differential equation with variables separated, such as dy/dx = 4x2/3y3, and you rearrange it to 3y3 dy = 4x2 dx, what does the dy/dx mean in this case, and can you even rearrange it like that or must you do this: ∫3y3 dy = ∫4x2 dx ?
4. ### Leibniz notation

So the second derivative should really be d2y/(dx)2?
5. ### Leibniz notation

I never really understood leibniz notation. I know that dy/dx means differential of y with respect to x, but what do the 'd's mean? How come the second-order differential is d2y/dx2? What does that mean? And what does d/dx mean?
6. ### Solving √(6 + 3√2) = √a + √b

So you would also be able to say that a + 2√(ab) = 6 and b = 3√2, and solve that way (with the risk of it being horribly complicated)?
7. ### Solving √(6 + 3√2) = √a + √b

Ah, ok. So there would be many other solutions, and they are only finding one such solution?
8. ### Solving √(6 + 3√2) = √a + √b

Homework Statement Solve the equation √(6 + 3√2) = √a + √b, writing a and b in the form a + b√c. Homework Equations In the answers they say that a + b = 6, but I cannot see how they can say this. The Attempt at a Solution I square both sides, and that is as far as I get: 6 + 3√2 =...
9. ### Circuit with two cells

Thank you for your time :biggrin:
10. ### Circuit with two cells

Aha! So the net EMF is what creates a current in a closed circuit or part of a circuit? And the net EMF in this circuit is zero so the current will also be zero? :D
11. ### Circuit with two cells

I'm getting confused with EMF, terminal voltage and internal resistance etc... isn't the 1.5V the EMF, which means that the actual potential rise (terminal voltage) will be less that 1.5V? If I were to add up the EMFs, I would be assuming no current is flowing.
12. ### Circuit with two cells

Sorry, I have added them in.
13. ### Circuit with two cells

Homework Statement What is the current in this circuit: http://img802.imageshack.us/img802/4646/8ekh.png [Broken] Homework Equations All potential differences in a closed portion of a circuit must add to 0. Terminal Voltage = EMF - I x internal resistance. The Attempt at a Solution I do not...
14. ### Solving inequality with different power variables

Ok, so if I say k < 0 (case 2), then when I divide both sides by k I flip the sign. Then I get k > 16 ?????
15. ### Solving inequality with different power variables

Ok, then I get k < 0 and k < 16, but it should be 0 < k < 16