Hint/help: In MapleTA syntax, the square root of A is sqrt(A) ; B raised to the

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Hint/help:  In MapleTA syntax, the square root of A is  sqrt(A) ;  B raised to the power two is B^2 ;  A plus B is   A+B ; the square root of A-squared plus B-squared is  sqrt(A^2 + B^2) ; the square root of the quantity  A plus B  to the power two is  sqrt ((A+B)^2) , etc.

You have two resistors (R1) = 12,000 ohm with an absolute uncertainty of  (DeltaR1)  = 600 ohm and  (R2)  =   5,500  ohm with an absolute uncertainty of    (DeltaR2) = 275 ohm.    (For each of these resistors, the relative uncertainty in the resistance is 5%. For electronic components, this is usually called a "5% tolerance".)  In any expression below requiring the use of MapleTA syntax, you must use, when needed, the substitutions   (R1)   ,    (R2)   ,   (DeltaR1)     ,     (DeltaR2)      .    Also note that all four numerical values are "randomized" for this problem.  Each student will get different numerical values.

Enter the formula in MapleTA syntax for calculating the parallel resistance  Rparallel

For the values of  (R1)  and  (R2)  given above, calculate (with an accuracy of three significant figures) the numerical value of   Rparallel   in kohm (where 1 kohm = 1,000 ohm) using the unit kohm that you must enter:

Rparallel =  [Num] [Units] ?

Here's a present for you at the end of this online pretest:  We'll spare you the algrebraic labor of having to calculate (DeltaRparallel)!  If you can do it, you understand well how to propagate uncertainties.

Hint/help: In MapleTA syntax, the square root of A is sqrt(A) ; B raised to the power two is B^2 ; A plus B is A+B ; the square root of A-squared plus B-squared is sqrt(A^2 + B^2) ; the square root of the quantity A plus B to the power two is sqrt ((A+B)^2) , etc. You have two resistors (R1) = 12,000 ohm with an absolute uncertainty of (DeltaR1) = 600 ohm and (R2) = 5,500 ohm with an absolute uncertainty of (DeltaR2) = 275 ohm. (For each of these resistors, the relative uncertainty in the resistance is 5%. For electronic components, this is usually called a "5% tolerance".) In any expression below requiring the use of MapleTA syntax, you must use, when needed, the substitutions (R1) , (R2) , (DeltaR1) , (DeltaR2) . Also note that all four numerical values are "randomized" for this problem. Each student will get different numerical values. Enter the formula in MapleTA syntax for calculating the parallel resistance Rparallel Rparallel For the values of (R1) and (R2) given above, calculate (with an accuracy of three significant figures) the numerical value of Rparallel in kohm (where 1 kohm = 1,000 ohm) using the unit kohm that you must enter: Rparallel Here's a present for you at the end of this online pretest: We'll spare you the algrebraic labor of having to calculate (DeltaRparallel)! If you can do it, you understand well how to propagate uncertainties.

Explanation / Answer

Rparallel = (R1 R2)/(R1 + R2)

value = 12000*5500/(12000+5500)=3770 ohm = 3.77 kohm

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