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1. ### Equivalent capacitance of a system from potential difference

@gneill Thanks so much for the clear answer to the question! To sum up, in this case, can I determine the equivalent capacity by the following? $$C_{eq, x\to y}=\frac{q_1+q_4}{V_x-V_y}=\frac{q_3+q_5}{V_x-V_y}$$ And can I evaluate the charges I need (e.g. ##q_1## and ##q_4## ) by using mesh...
2. ### Equivalent capacitance of a system from potential difference

Thanks for your answer and the clear picture! I'm also learning how to use KVL properly, nevertheless I asked just because of the equivalent capacitance of the system between points ##x## and ##y##. Suppose that, using KVL, I find out ##V_x-V_y##. Then how do I calculate ##C_{EQUIVALENT \, x...
3. ### Equivalent capacitance of a system from potential difference

Homework Statement Calculate the equivalent capacity of the capacitor system between points ##x## and ##y## Homework Equations ##C=q/V## The Attempt at a Solution I'm asking about this problem because I know how to calculate ##V_x-V_y##, but I don't know how can I extract the equivalent...
4. ### I Is a function better approximated by a line in some regions?

Thanks a lot for your answers and your help! I still do not really get if statements like the one in my question are somehow true or not... The remainder is bigger where ##f''(\zeta)## (the second derivative) is bigger, and there the approximation is worse. But here for istance, I understand...
5. ### I Is a function better approximated by a line in some regions?

I studied Taylor series but I would like to have an answer to a doubt that I have. Suppose I have ##f(x)=e^{-x}##. Sometimes I've heard things like: "the exponential curve can be locally approximated by a line, furthermore in this particular region it is not very sharp so the approximation is...

50. ### Floating block with objects that are thrown in a liquid

Homework Statement I'm confused about the following kind of situation. Consider a block of density ##\rho_b##, mass ##M_b## and section ##S_b## that floats on a liquid of density ##\rho_l##, in a tank of section ##\mathcal{S}##. On the block there are some objects (all equal), of density...