Physics, 19.03.2020 02:26 chrissyg76

There is a current of 112 pA when a certain potential is applied across a certain resistor. When that same potential is applied across a resistor made of the identical material but 25 times longer, the current is 0.044 pA. Compare the effective diameters of the two resistors.

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Answer from: Sjanaya853

First wire is 10 times larger in diameter than the second wire. $\frac{ d_{1} }{ d_{2} }$ ≅ 10

Explanation:

Given :

Current in first wire $I_{1} = 112 \times 10^{-12}$ A

Current in second wire $I_{2} = 0.044 \times 10^{-12}$ A

Length of first wire = $l_{1}$

Length of second wire = $25 l_{1}$

Here potential across a resistor is same.

From ohm's law,

V =IR

Where R = resistance of the wire,

Resistor of wire is given by,

$R = \frac{\rho l}{A}$

Where A = cross section area of the wire = $\pi r^{2}$

We write area in terms of diameter d = 2r

$A = \frac{\pi d^{2} }{4}$

Now we have to compare current in both wires,

$I_{1} R_{1} = I_{2}R_{2}$

Put the value of resistor in terms of its diameter,

$\frac{l_{1} d_{2}^{2} }{l_{2} d_{1}^{2} } = \frac{I_{2} }{I_{1} }$ $\frac{l_{1} d_{2}^{2} } { 25l_{1} d_{1}^{2} } = \frac{112 \times 10^{-12} }{0.044 \times 10^{-12} }$

$\frac{ d_{2}^{2} }{ d_{1}^{2} } = 0.0098$

$\frac{ d_{2} }{ d_{1}} } = \sqrt{0.0098} = 0.099$

$\frac{ d_{1} }{ d_{2} } = \frac{1}{0.099} = 10.10$

$\frac{ d_{1} }{ d_{2} }$ ≅ 10

So we can say that first wire is 10 times larger in diameter than the second wire.

Answer from: Quest

their crystal patterns have been disrupted by stress

Answer from: Quest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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There is a current of 112 pA when a certain potential is applied across a certain resistor. When tha...