Question 1137812
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The exponents are also known as superscripts, not subscripts. Think "super" as in "superman flying high" to remember that superscripts are above. While subscripts (think "subway below the earth") are values that are located down and to the right, aka below the main value.


We can rewrite something like "10 superscript 2" into shorthand notation "10^2" without quotes of course. On your paper it would look like {{{10^2}}}. For comparison purposes, this is what "10 subscript 2" would look like *[Tex \Large 10_{2}]. You would see subscripts show up a lot in chemistry such as the formula *[Tex \Large CO_{2}] (carbon dioxide).


Anyways onto the problem at hand.


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Given Values:
*[Tex \Large L = 7.464 \times 10^{-5} \text{ henrys}]
*[Tex \Large C = 3.7 \times 10^{-10} \text{ farads}]


Computing the resonant frequency f
Make sure your calculator is capable of scientific notation
*[Tex \Large f = \frac{1}{2\pi\sqrt{L*C}}]


*[Tex \Large f = \frac{1}{2\pi\sqrt{(7.464 \times 10^{-5})*(3.7 \times 10^{-10})}}]


*[Tex \Large f = \frac{1}{2\pi\sqrt{2.761680\times10^{-14}}}]


*[Tex \Large f \approx \frac{1}{2\pi*1.66183\times10^{-7}}]


*[Tex \Large f \approx \frac{1}{1.044159\times10^{-6}}]


*[Tex \Large f \approx 9.577087\times10^{5}]


*[Tex \Large f \approx 957,708.7]


*[Tex \Large f \approx 958,000] Rounding to the nearest thousand (not thousandth)


Final Answer: <font color=red size=4>958000 cycles per second</font>
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