Resistance in Parallel Circuits From Ohm’s Law for circuits, it follows that the total resistance R t o t of two components hooked in parallel is given by the equation R t o t = R 1 R 2 R 1 + R 2 where R 1 and R 2 are the individual resistances. a. Let ohms, and graph R t o t as a function of R 2 . b. Find and interpret any asymptotes of the graph obtained in part (a). c. If R 2 = 2 R 1 , what value of R1 will yield an R t o t of 17 ohms?
Resistance in Parallel Circuits From Ohm’s Law for circuits, it follows that the total resistance R t o t of two components hooked in parallel is given by the equation R t o t = R 1 R 2 R 1 + R 2 where R 1 and R 2 are the individual resistances. a. Let ohms, and graph R t o t as a function of R 2 . b. Find and interpret any asymptotes of the graph obtained in part (a). c. If R 2 = 2 R 1 , what value of R1 will yield an R t o t of 17 ohms?
Resistance in Parallel Circuits From Ohm’s Law for circuits, it follows that the total resistance
of two components hooked in parallel is given by the equation
where
and
are the individual resistances.
a. Let ohms, and graph
as a function of
.
b. Find and interpret any asymptotes of the graph obtained in part (a).
c. If
, what value of R1 will yield an
of 17 ohms?
Expert Solution
To determine
To find:
a. Let , and graph as a function of .
Answer to Problem 59AYU
Explanation of Solution
Given:
, where
and are the individual resistances.
a.
Expert Solution
To determine
To find:
b.Find and interpret any asymptotes of the graph obtained in part (a).
Answer to Problem 59AYU
Horizontal: ; as the resistance of increases without bound, the total resistance approaches , the resistance .
Explanation of Solution
Given:
, where
and are the individual resistances.
b. Horizontal: ; as the resistance of increases without bound, the total resistance approaches , the resistance .
Thomas' Calculus: Early Transcendentals (14th Edition)
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