i believe it's C but i'm not completely sure
From the options provided in the question, the measurement which is not an SI base unit is volume.
<h3>What is SI base unit?</h3>
This is referred to as the standard and fundamental unit of measurement of various quantities or variables which is defined arbitrarily and not by combinations of other units.
Volume is a quantity which is derived from the combination of lengths in a three-dimensional manner which is why the formula is length× breadth×height and the unit is cm³. This is gotten from the combination of the unit of length which is cm.
This is therefore the reason why volume was chosen as the most appropriate choice.
Read more about Volume here brainly.com/question/463363
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Answer:
(a) 1.58 V
(b) 0.0126 Wb
(c) 0.0493 V
Solution:
As per the question:
No. of turns in the coil, N = 400 turns
Self Inductance of the coil, L = 7.50 mH =
Current in the coil, i =
A
where
![i_{max} = 1680\ mA = 1.680\ A](https://tex.z-dn.net/?f=i_%7Bmax%7D%20%3D%201680%5C%20mA%20%3D%201.680%5C%20A)
Now,
(a) To calculate the maximum emf:
We know that maximum emf induced in the coil is given by:
![e = \frac{Ldi}{dt}](https://tex.z-dn.net/?f=e%20%3D%20%5Cfrac%7BLdi%7D%7Bdt%7D)
![e = L\frac{d}{dt}(1680)cos[\frac{\pi t}{0.0250}]](https://tex.z-dn.net/?f=e%20%3D%20L%5Cfrac%7Bd%7D%7Bdt%7D%281680%29cos%5B%5Cfrac%7B%5Cpi%20t%7D%7B0.0250%7D%5D)
![e = - 7.50\times 10^{- 3}\times \frac{\pi}{0.0250}\times \frac{d}{dt}(1680)sin[\frac{\pi t}{0.0250}]](https://tex.z-dn.net/?f=e%20%3D%20-%207.50%5Ctimes%2010%5E%7B-%203%7D%5Ctimes%20%5Cfrac%7B%5Cpi%7D%7B0.0250%7D%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%281680%29sin%5B%5Cfrac%7B%5Cpi%20t%7D%7B0.0250%7D%5D)
For maximum emf,
should be maximum, i.e., 1
Now, the magnitude of the maximum emf is given by:
![|e| = 7.50\times 10^{- 3}\times 1680\times 10^{- 3}\times \frac{\pi}{0.0250} = 1.58\ V](https://tex.z-dn.net/?f=%7Ce%7C%20%3D%207.50%5Ctimes%2010%5E%7B-%203%7D%5Ctimes%201680%5Ctimes%2010%5E%7B-%203%7D%5Ctimes%20%5Cfrac%7B%5Cpi%7D%7B0.0250%7D%20%3D%201.58%5C%20V)
(b) To calculate the maximum average flux,we know that:
![\phi_{m, avg} = L\times i_{max} = 7.50\times 10^{- 3}\times 1.680 = 0.0126\ Wb](https://tex.z-dn.net/?f=%5Cphi_%7Bm%2C%20avg%7D%20%3D%20L%5Ctimes%20i_%7Bmax%7D%20%3D%207.50%5Ctimes%2010%5E%7B-%203%7D%5Ctimes%201.680%20%3D%200.0126%5C%20Wb)
(c) To calculate the magnitude of the induced emf at t = 0.0180 s:
![e = e_{o}sin{\pi t}{0.0250}](https://tex.z-dn.net/?f=e%20%3D%20e_%7Bo%7Dsin%7B%5Cpi%20t%7D%7B0.0250%7D)
![e = 7.50\times 10^{- 3}\times sin{\pi \times 0.0180}{0.0250} = 2.96\times 10^{- 4} =0.0493\ V](https://tex.z-dn.net/?f=e%20%3D%207.50%5Ctimes%2010%5E%7B-%203%7D%5Ctimes%20sin%7B%5Cpi%20%5Ctimes%200.0180%7D%7B0.0250%7D%20%3D%202.96%5Ctimes%2010%5E%7B-%204%7D%20%3D0.0493%5C%20V)