Physics, 30.03.2020 03:29 lacilebeck69641

Three resistors, 4ohms, 6ohms, 8ohms are connected in a parallel circuit. What is their total resistance

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Answer from: pablogonzaleztellez

The total resistance of the three resistors connected in series is 1.85Ω.

Explanation:

Whenever a passive device is connected in a circuit, if they are connected parallel to each other, then the voltage drop in each of the passive device will be constant. So in this case, the passive device is the resistor. So three resistors are connected parallel to each other, this means the voltage drop across these three resistors will be constant but the current flow in the three resistors will be different.

So, the net current flow in the circuit will be

$I = I_{1} + I_{2} + I_{3}$

From, Ohm's law, we know that $I = \frac{V}{R}$

So, since the voltage drop across the three resistors are same as V, then resistor be denoted as R₁ = 4 Ω R₂ = 6Ω and R₃= 8Ω.

So, the formula becomes,

$\frac{V}{R_{p} } =\frac{V}{R_{1} } + \frac{V}{R_{2} } + \frac{V}{R_{3} }$

$\frac{1}{R_{p} } =\frac{1}{R_{1} } + \frac{1}{R_{2} } + \frac{1}{R_{3} }\\\\\frac{1}{R_{p} } =\frac{1}{4} + \frac{1}{6 } + \frac{1}{8 }\\\\\frac{1}{R_{p} } =\frac{6+4+3}{24 }$

$R_{p} = \frac{24}{6+4+3} =\frac{24}{13} =1.85$

Thus, the total resistance of the three resistors connected in series is 1.85Ω.

Answer from: Quest

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scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

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Three resistors, 4ohms, 6ohms, 8ohms are connected in a parallel circuit. What is their total resist...

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