Three electrical resistors Extending Exercise 66 , when three electrical resistors with resistances R 1 > 0, R 2 > 0, and R 3 > 0 are wired in parallel in a circuit (see figure), the combined resistance R, measured in ohms ( Ω ) , is given by 1 R − 1 R 1 + 1 R 2 + 1 R 3 . Estimate the change in R if R 1 increases from 2 Ω to 2.05 Ω , R 2 decreases from 3 Ω to 2.95 Ω. and R 3 increases from 1.5 Ω to 1.55 Ω .
Three electrical resistors Extending Exercise 66 , when three electrical resistors with resistances R 1 > 0, R 2 > 0, and R 3 > 0 are wired in parallel in a circuit (see figure), the combined resistance R, measured in ohms ( Ω ) , is given by 1 R − 1 R 1 + 1 R 2 + 1 R 3 . Estimate the change in R if R 1 increases from 2 Ω to 2.05 Ω , R 2 decreases from 3 Ω to 2.95 Ω. and R 3 increases from 1.5 Ω to 1.55 Ω .
Solution Summary: The author calculates the change in the combined resistance R when r_1 change from r
Three electrical resistors Extending Exercise 66, when three electrical resistors with resistances R1 > 0, R2 > 0, and R3 > 0 are wired in parallel in a circuit (see figure), the combined resistance R, measured in ohms (Ω), is given by
1
R
−
1
R
1
+
1
R
2
+
1
R
3
. Estimate the change in R if R1 increases from 2 Ω to 2.05 Ω, R2 decreases from 3 Ω to 2.95 Ω. and R3 increases from 1.5 Ω to 1.55 Ω.
Thomas' Calculus: Early Transcendentals (14th Edition)
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