Resistors in parallel Two resistors in an electrical circuit with resistance R 1 and R 2 wired in parallel with a constant voltage give an effective resistance of R , where 1 R = 1 R 1 + 1 R 2 . a. Find ∂ R ∂ R 1 and ∂ R ∂ R 2 by solving for R and differentiating. b. Find ∂ R ∂ R 1 and ∂ R ∂ R 2 by differentiating implicitly. c. Describe how an increase in R 1 with R 2 constant affects R. d. Describe how a decrease in R 2 with R 1 constant affects R.
Resistors in parallel Two resistors in an electrical circuit with resistance R 1 and R 2 wired in parallel with a constant voltage give an effective resistance of R , where 1 R = 1 R 1 + 1 R 2 . a. Find ∂ R ∂ R 1 and ∂ R ∂ R 2 by solving for R and differentiating. b. Find ∂ R ∂ R 1 and ∂ R ∂ R 2 by differentiating implicitly. c. Describe how an increase in R 1 with R 2 constant affects R. d. Describe how a decrease in R 2 with R 1 constant affects R.
Resistors in parallel Two resistors in an electrical circuit with resistance R1 and R2 wired in parallel with a constant voltage give an effective resistance of R, where
1
R
=
1
R
1
+
1
R
2
.
a. Find
∂
R
∂
R
1
and
∂
R
∂
R
2
by solving for R and differentiating.
b. Find
∂
R
∂
R
1
and
∂
R
∂
R
2
by differentiating implicitly.
c. Describe how an increase in R1 with R2 constant affects R.
d. Describe how a decrease in R2 with R1 constant affects R.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Thomas' Calculus: Early Transcendentals (14th Edition)
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