Skip to content / Đến nội dung
ThichHocToan.com

IMSO 2006 Science International - Theory II Question 17

IMSO Science · IMSO 2006 Science International - Theory II

Question 17

Look at the following figures. If two resistors, $R_1$ and $R_2$, are connected in series, the total resistance is given by $R_s=R_1+R_2$.

However, if these two resistances are connected in parallel, the total resistance satisfies $R_p=R_1R_2/(R_1+R_2)$.

A teacher gives you three resistors, $R_1=R_2=R_3=30$ ohm. You are asked to arrange these resistors into all possible arrangements. Draw all arrangements and calculate their corresponding total resistances. (Score: 6)

Question illustration

Question illustration