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Q13PE

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College Physics (Urone)
Found in: Page 775

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Short Answer

Two resistors, one having a resistance of900 , are connected in series to produce a total resistance of 0.5 . (a) What is the value of the second resistance? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

(a)The value of the second resistance isR2=-400 .

(b)Value of the second resistor is negative.

(c)Resistance of the series is less than the resistance of the single resistor.

See the step by step solution

Step by Step Solution

Step 1: Combination of series resistance

The resultant resistance of series combination resistors is given as,

Rs=R1+R2

Here, Rsis the resultant resistance for series combination, R1and R2are the resistances of the resistors connected in series.

Step 2: Calculation of the second resistance

(a)

Resistors value in series adds up. That means that:

R2=Rs-R1 =0.5-900 =0.510001-900 =-400

Therefore, the value of the second resistance isR2=-400 .

Step 3: Unreasonable about the result

(b)

The unreasonable result is: negative value of the second resistor.

Step 4: Inconsistence assumption

(c)

The assumptions are unreasonable or inconsistent is, resistance of the series is less than the resistance of the single resistor.

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