What lasts longer and why?: A solar eclipse or a lunar eclipse?
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The speed of light in that medium is .
<u>Explanation:</u>
It is known that the light's speed is constant when it travels in vacuum and the value is . When the light enters another medium other than vacuum, its speed get decreased as the light gets refracted by an angle.
The amount of refraction can be determined by the index of refraction or refractive index of the medium. The refraction index is measured as the ratios of speed of light in vacuum to that in the medium. It is represented as η =
So, here η is the index of refraction of a medium which is given as 1.4, c is the light's speed in vacuum () and v is the light's speed in that medium which we need to find.
Thus the speed of light in that medium is
The equivalent capacitance of the combination is where C1 and C2 are the capacitance of both capacitors in series.
Let the capacitance of both capacitors be C1 and C2. For a series connected capacitors, same charge flows through the capacitors but different voltage flows through them.
Let Q be the amount of charge in each capacitors,
V be the voltage across each capacitors
C be the capacitance of the capacitor.
Using the formula Q = CV where V = Q/C... (1)
For the large capacitor with capacitance of the capacitor C1,
where is the voltage across
For the small capacitor with capacitance of the capacitor ,
;
where is the voltage across
,
Total voltage V in the circuit will be;
Substituting equation 1, 2 and 3 in equation 4, we have;
Since change Q is the same for both capacitors since they are in series, they will cancel out to finally have;
This gives the equivalent capacitance of the combination.
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