Recent content by ybhathena

Ohh I see it now. Your diagram really helped visualize it better. Thank you!

So the right hand rule would be fingers point in direction of B field, thumb in direction of conventional current and palm in direction of force, but in this case it's a weird more difficult to use since it's a loop rather than a straight wire.

Homework Statement What direction does the force that the current carrying coil feel point to when a magnetic field is turned on? A magnetic field is turned on and points from bottom to top and passes through a current carrying coil that has current passing through it CCW. Here is a diagram...

That makes sense thank you! But why did we have to rewrite the deltas as partial derivatives? You said this earlier: The derivative is just the limit as the deltas tend to zero. Does that mean that partialderivative U/ partialderivative T is the same as saying the value difference between the...

I'm sorry, I still don't understand this part: Since V is taken as constant, and a varying V would affect U, it is more exact to write it as a partial derivative.

But then what is the point of invoking partial derivatives.

Homework Statement I am trying to understand the the following derivation: Cv = (qv/ΔT) = (ΔU/ΔT) \\ Cv = (∂U/∂T)v \\ dU = CvdT The Attempt at a Solution [/B] So here is what I understand so far. I understand that heat transfer q and temperature T are related by a direct...

Homework Statement Hi I need to know the derivation of the equation HT2 = delta HT1 + delta Cp delta T and I'm really unsure of where to find this. Does anyone know the derivation of this relationship? C represents the the specific heat of the substance in question. H represents enthalpy...

Oh yes that is true the constant that is being multiplied is 1 not 4, so it won't change anything. Thank you for your help throughout this process; it is greatly appreciated!

Ok I get it now I am finally getting 16 as an answer. My question is now why don't they divide 16 by 4 to get the original value to which the series converges to. (because in the beginning they multiplied the entire expression by 4?)

Oh wait they are treating the entire expression as a geometric series not just the denominator. Is that it? Give me a second to see then.

Well the rate is 4, and the first value, a, is 1/4. Also 12 fits no where into any of these formulas so 12/(1-1/4) doesn't look like either of the two formulas for geometric series.

I know for a geometric series the formula is Sn = (a(1-r^n)) / 1-r and for an infinite geometric series S = a/1-r

I'm having trouble seeing how to use the fact that it is a geometric series in the problem. Could you explain further?

Homework Statement Sum starting from n=1 to infinity for the expression, (3/4^(n-2)) What the solutions manual has done is multiply the numerator and the denominator by 4. 12/(4^(n-1)) I don't know what they have done from here on: 12 / (1 - 1/4) = 16 Can someone...