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The inductance $L$ (in $\mu \mathrm{H}$ ) of a coaxial cable is given by $L=0.032+0.15 \log (a / x),$ where $a$ and $x$ are the radii of the outer and inner conductors, respectively. For constant $a,$ find $d L / d x$.

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 5

Derivative of the Logarithmic Function

Derivatives

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:19

A coaxial cable used in a …

02:15

A long, straight coaxial c…

11:39

(II) A coaxial cable consi…

01:42

The inner conductor of a c…

(II) If the outer conducto…

04:07

04:25

A coaxial cable (see Fig. …

05:45

Consider the coaxial cable…

06:25

01:49

(I) What is the capacitanc…

the capacitance off a cylindrical capacitor is given by C is equal to copper times. See Nord, where copper is the dialect of constant. Seen on is the capacitance without the dye electric This weekend, Right to buy downs Carbide's Long Times L, divided by Ellen off be divided by a where l is the length off the cable ace. The Radius and B is the outer radius with the cap of value, which is 2.6 fool polystyrene. The capacitance party unique lent off. The cable is given by C D. Bye bye Help that is, to buy K. It's long divided by Ellen. Off be divided by a so l l will cancel out. We substitute the values to pi Times copper, which is 2.6 times you 8.85 times 10 to the power minus 12. Divided by Ellen off 0.6 year old millimeter divide by 0.10 millimeter. This gives us, um 8.1 times 10 to the power minus 11 for rod for a meter

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In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

A coaxial cable used in a transmission line has an innerradius of 0.10 $…

A long, straight coaxial cable consists of two thin, tubular conductors, the…

(II) A coaxial cable consists of a solid inner conductor ofradius $R_{1}…

The inner conductor of a coaxial cable has a radius of $0.800 \mathrm{mm},$ …

(II) If the outer conductor of a coaxial cable has radius $3.0 \mathrm { mm …

A coaxial cable (see Fig. 26.47 ) consists of a 1.0 -mm-diameter inner condu…

Consider the coaxial cable of Problem 30.46. The conductors carry equal curr…

Consider the coaxial cable of Problem 30.48 . The conductors carry equal cur…

(I) What is the capacitance per unit length (F/m) of a coaxial cable whose i…

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