When two resistors are connected in parallel, the total resistance, R(t), is given by 1 1 1 R(t) R₁(t) R₂(t)' where R₁ (t) and R₂ (t) are the resistances of each individual resistor. + (1) (a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex- dR pression for in terms of R₁ and R₂ and their derivatives. dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
dR₁
dt
R₂ = 200.
(b) If
= 0.40/min and
dR₂
dt
=
-0.90/min, calculate
dR
dt
when R₁
= 200 and
Transcribed Image Text:dR₁ dt R₂ = 200. (b) If = 0.40/min and dR₂ dt = -0.90/min, calculate dR dt when R₁ = 200 and
When two resistors are connected in parallel, the total resistance, R(t), is given by
1
1
1
+
R(t)
R₁(t) ™R₂(t)'
where R₁ (t) and R₂(t) are the resistances of each individual resistor.
=
(1)
(a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex-
dR
pression for in terms of R₁ and R₂ and their derivatives.
dt
Transcribed Image Text:When two resistors are connected in parallel, the total resistance, R(t), is given by 1 1 1 + R(t) R₁(t) ™R₂(t)' where R₁ (t) and R₂(t) are the resistances of each individual resistor. = (1) (a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex- dR pression for in terms of R₁ and R₂ and their derivatives. dt
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