Resistivity Q&A: Expert Assistance

Assuming a constant temperature coefficient of resistivity, what is the maximum percentage reduction in resistance of constantan wire starting at ${20.0}^{\circ} C$ ?

lollaupligey9 2022-08-13

Find the ratio of the resistance of a copper wire to an aluminum wire if the length and diameter of the aluminum wire is twice the diameter of the copper wire.
Given:
$L_{1} = 100 c m R_{1} = 25 Ω$

Ashlynn Hale 2022-08-11

Which of the following statements are TRUE with regard to resistance? A) Resistance is directly proportional to an area of cross section of the wire B) Resistance is inversely proportional to the resistivity of the wire C) Resistance is inversely proportional to the length of the wire D) Resistance is directly proportional to a length of the wire

analianopolisca 2022-08-11

A 5.0-meter long tin wire has a cross-sectional area of $2.0 \times 10 m^{2}$ and a resistance of $0.35 Ω$ . Determine the resistivity of tin.

okunyangae8 2022-08-11

What do you mean by resistivity and conductivity of a material? Also write their units. ?

Aphroditeoq 2022-07-21

A potential difference of 14 V is found to produce a current of 0.45 A in a 3.8 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire:
(a) the resistance $Ω$
(b) the resistivity $Ω \cdot m$

PoentWeptgj 2022-07-20

A resistor is made from a material that has a temperature coefficient of resistivity of $2.0 \times 10^{- 3} /^{\circ} C$ . Its resistance is $30 Ω$ at $20^{\circ} C$ . At what temperature is its resistance equal to $33 Ω$ ?

Francisco Proctor 2022-07-20

The length of the material can be measured with a ruler or caliper, and its resistance with an ohmmeter. Knowing these values, it is possible to calculate the resistivity of the material ? on:
?= R A/L
(a) What will happen to the material’s resistivity if the resistance is increased?
(b) What will happen to the material’s resistivity if the length is increased?

Mauricio Mathis 2022-07-20

Determine the resistance of metal tube in term of the external diameter D, the internal diameter d , the length l and the resistivity. Calculate the resistance of a copper tube 0.5cm thick and 2m long. The external diameter is 10cm

Lilliana Livingston 2022-07-19

A silicon crystal having a cross-sectional area of $0.001 c m^{2}$ and a length of $10^{- 3} c m$ is connected at it's ends with 10v battery at temperature $300^{\circ} K$ , when the current is 100mA. Find the resistivity and the conductivity?

iarc6io 2022-07-16

The rod given in the figure is made up of two different materials. Both have square cross sections of 3 mm side. The resistivity of the first material is $4 \times 10^{- 3} Ω . m$ and it is 25 cm long while second material has resistivity of $5 \times 10^{- 3} Ω . m$ and is of 70 cm long. What is the resistivity of rod between its ends?

Audrina Jackson 2022-07-14

Solving $\int (\frac{5 x^{2} + 3 x - 2}{x^{3} + 2 x^{2}})$ via partial fractions
So, first of all, we must factorize the denominator:
$x^{3} + 2 x^{2} = (x + 2) \cdot x^{2}$
Great. So now we write three fractions:
$\frac{A}{x^{2}} + \frac{B}{x} + \frac{C}{x + 2}$
Eventually we conclude that
$A (x + 2) + B (x + 2) (x) + C (x^{2}) = 5 x^{2} + 3 x - 2$
So now we look at what happens when x=−2:
C=12
When x=0:
A=−1And now we are missing B, but we can just pick an arbitrary number for x like... 1:
B=−1

icedagecs 2022-07-14

A heater made out of a wire with a diameter $R = 0.2 mm$ , length $4 π m$ and electrical resistivity of $0.5 \times 10^{- 6} Ω m$ is connected to a voltage source of $220 V$ , sinked in the water.
Which mass of water will it heat up from $20^{\circ} C$ to $50^{\circ} C$ in the time of 10 minutes? (C of water = $4200 J k g / K$ )

Esmeralda Lane 2022-07-13

The formula for resistivity is:
$ρ = \frac{R A}{L}$
where $ρ$ is resistivity, $R$ is resistance, $A$ is cross-sectional area, and $L$ is the length of the conductor.
We can see from the formula that $A$ and $L$ are involved, why then does resistivity not depend on dimensions?

Adelyn Rodriguez 2022-05-20

What is gamma in the damping equation?
$x^{″} + γ x^{'} + w_{0}^{2} x = 0$
That is the general equation for damped harmonic motion. What is the term or name that describes gamma ?
Is it called the damping constant ? I know its the ration between the resistive coefficient (b) and mass of the system (m) but what do we actually call it ?

Jace Wright 2022-05-19

To prove: $\cot^{- 1} 7 + \cot^{- 1} 8 + \cot^{- 1} 18 = \cot^{- 1} 3$

Flakqfqbq 2022-05-18

What will be the area which is bounded by $x = 0, y = π / 4$ and $y = \arctan (x)$ ?

pevljivuaosyc 2022-05-18

Say we got an alloy made of $90$ % Au and 10%Cu. The atomic mass of gold is
$A_{A u} = 197 g / m o l e$
and of copper
$A_{C u} = 63.5 g / m o l e$
The specific resistivity of gold is
$ρ = 22.8 n Ω m$
and the Nordheim coefficient is
$C = 450 n Ω m$
Then by the Nordheim rule we have that the resistivity of this alloy is given as
$ρ = ρ_{A u} + C X (1 - X)$
where X=0.1, and represents the percentage of Copper in the alloy. Using the above I got that
$ρ = 63.3 n Ω m$
, but data shows that the actual resistivity is $ρ = 108 n Ω m$ . What about X? Is it the percentage of atoms in the alloy, or is it the percentage of mass in the alloy?

Jordon Haley 2022-05-18

If $a, b, c \in (0, \infty)$ with abc=1 prove:
$a^{2} + b^{2} + c^{2} + 3 (a b + b c + c a) \leq \frac{1}{2} (\sqrt{a} + \sqrt{b} + \sqrt{c}) (a + b) (b + c) (c + a) .$
On atypical inequality (a smaller amount than a product) that resisted my attempts to prove it.

Marco Villanueva 2022-05-17

What is the resistivity coefficient of graphene?

Electric Engineering and robotics will require the studies of the electric current and resistivity. These are meant for the selection of the materials that are used in electrical and electronic components. Therefore, the resistivity problems with solutions will revolve around conductors and the resistant wires as you calculate the resistivity. The answers will include formulas that must be used first, so you can see and understand how things work. The resistivity examples can also be related to statistical data, which means that you can use the solutions as the templates with the different numbers where you simply replace the data.

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