After the load impedance has been transformed through the ideal transformer, its impedance is: + . Enter the real part in the fi
rst blank and the imaginary part in the second blank. If a value is negative, include the negative sign. Provide up to four digits of precision. If the exact value can be provided with fewer digits, merely provide the exact value. These instructions pertain to the following blanks as well. What is the total impedance seen by the source? + . What is the current phasor Ig (expressed in rectangular form)?
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Answer:
t = 2212 years
Explanation:
In radioactive decay processes it is described by the equation
N = N₀
to calculate the activity
= log 2 /λ
λ = log 2 / T_{1/2}
λ = log 2 /5715
λ = 5.267 10⁻⁵
now the amount of carbon 14 is N₀ = 0.1%, the sample contains an amount of N = 0.089%
N / N₀ = e^{-\lambda t}
-λ t = ln N / N₀
t = - 1 /λ ln N /N₀
t = 1 / 5.267 10⁻⁵ ln (0.089 / 0.1)
t = 2,212 10³ years
t = 2212 years
To solve this problem we will apply the concepts related to Soderberg's relation, which will allow us to find the safety factor based on yield stress, endurance strength, the mean and average stress. The mean and average stress values can be found through the alternating Stress previously given. We will proceed by defining the known values, that is
Yield stress
Endurance strength
The two values for alternating stress are
We know that mean stress is
And the average stress is
According to Soderberg relation
Therefore the factor of safety is 2