Two resistors are to be combined to form an equivalent resistance of 1,000 0. The resistors are taken from available stock on hand as acquired over the years. Readily available are two common resistors rated at 500 + 50 0 and two common resistors rated at 2,000 n+ 5%. What combination of resistors (series or parallel) would provide the smaller uncertainty in an equivalent 1,000 n resistance? Assume that the resistor value errors are uncorrelated. Note: the equivalent resistance for two resistors placed in series is Req = R1 + R2, and in parallel, is Req = R1R2 / (R1 + R2).

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Two resistors are to be combined to form an equivalent resistance of 1,000 n. The resistors are
taken from available stock on hand as acquired over the years. Readily available are two common
resistors rated at 500 + 50 0 and two common resistors rated at 2,000 n+ 5%. What combination
of resistors (series or parallel) would provide the smaller uncertainty in an equivalent 1,000 n
resistance? Assume that the resistor value errors are uncorrelated. Note: the equivalent
resistance for two resistors placed in series is Req = R1 + R2, and in parallel, is Req = R1R2/ (R1+
R2).
Transcribed Image Text:Two resistors are to be combined to form an equivalent resistance of 1,000 n. The resistors are taken from available stock on hand as acquired over the years. Readily available are two common resistors rated at 500 + 50 0 and two common resistors rated at 2,000 n+ 5%. What combination of resistors (series or parallel) would provide the smaller uncertainty in an equivalent 1,000 n resistance? Assume that the resistor value errors are uncorrelated. Note: the equivalent resistance for two resistors placed in series is Req = R1 + R2, and in parallel, is Req = R1R2/ (R1+ R2).
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