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

Question

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)  

You have two resistors (R1) = 11,000 ohm with an absolute uncertainty of  (DeltaR1)  = 550 ohm and (R2) =   6,000  ohm with an absolute uncertainty of    (DeltaR2) = 300 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)      ; note the parentheses around each substitution.    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 series resistance  Rseries

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

Rseries =  [Num] [Units] ?

Enter the formula in MapleTA syntax for calculating the absolute uncertainty  (DeltaRseries) in the resistance Rseries

For the values of (R1) ,  (R2)  ,  (DeltaR1) , and  (DeltaR2)  given above, calculate (with an accuracy of three significant figures) the numerical value of (DeltaRseries) in kohm (where 1 kohm = 1,000 ohm) using the unit kohm that you must enter:

(DeltaRseries) = [Num] [Units]?

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) You have two resistors (R1) = 11,000 ohm with an absolute uncertainty of (DeltaR1) = 550 ohm and (R2) = 6,000 ohm with an absolute uncertainty of (DeltaR2) = 300 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) ; note the parentheses around each substitution. 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 series resistance Rseries For the values of (R1) and (R2) given above, calculate (with an accuracy of three significant figures) the numerical value of Rseries in kohm, where 1 kohm = 1,000 ohm) using the unit kohm that you must enter: Enter the formula in MapleTA syntax for calculating the absolute uncertainty (DeltaRseries) in the resistance Rseries For the values of (R1) , (R2) , (DeltaR1) , and (DeltaR2) given above, calculate (with an accuracy of three significant figures) the numerical value of (DeltaRseries) in kohm (where 1 kohm = 1,000 ohm) using the unit kohm that you must enter:

Explanation / Answer

Rseries = R1 + R2

b) value = 11000 + 6000 = 17000 ohm = 17.0 kohm

c) DeltaRseries = sqrt( DeltaR1^2 + DeltraR2^2)

d) value = sqrt(550^2 + 300^2)=626 ohms = 0.6 kohm

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