1) The capacitive reactance of a capacitor is found by the equation , where and are uncertain quantities having errors and respectively (both of which are greater than zero). Show that the error of is given by the formula
(If you get the same formula as above but with a negative sign, it is also correct.)
Hence show that the percentage error of is always larger than both the percentage error of and that of .
u{X_C }=X_C ?(((u{?f}?^2)/f))+ ((u{?C}?^2)/C)
(If you get the same formula as above but with a negative sign, it is also correct.)
Hence show that the percentage error of is always larger than both the percentage error of and that of .
u{X_C }=X_C ?(((u{?f}?^2)/f))+ ((u{?C}?^2)/C)