Given Information:
Inductance = L = 5 mH = 0.005 H
Time = t = 2 seconds
Required Information:
Current at t = 2 seconds = i(t) = ?
Energy at t = 2 seconds = W = ?
Answer:
Current at t = 2 seconds = i(t) = 735.75 A
Energy at t = 2 seconds = W = 1353.32 J
Explanation:
The voltage across an inductor is given as
The current flowing through the inductor is given by
Where L is the inductance and i(0) is the initial current in the inductor which we will assume to be zero since it is not given.
![i(t) = \frac{1}{0.005} \int_0^t \mathrm{5(1-e^{-0.5t}}) \,\mathrm{d}t \,+ 0\\\\i(t) = 200 \int_0^t \mathrm{5(1-e^{-0.5t}}) \,\mathrm{d}t \\\\i(t) = 200 \: [ {5\: (t + \frac{e^{-0.5t}}{0.5})]_0^t \\i(t) = 200\times5\: \: [ { (t + 2e^{-0.5t} + 2 )] \\](https://tex.z-dn.net/?f=i%28t%29%20%3D%20%5Cfrac%7B1%7D%7B0.005%7D%20%5Cint_0%5Et%20%5Cmathrm%7B5%281-e%5E%7B-0.5t%7D%7D%29%20%5C%2C%5Cmathrm%7Bd%7Dt%20%5C%2C%2B%200%5C%5C%5C%5Ci%28t%29%20%3D%20200%20%5Cint_0%5Et%20%5Cmathrm%7B5%281-e%5E%7B-0.5t%7D%7D%29%20%5C%2C%5Cmathrm%7Bd%7Dt%20%5C%5C%5C%5Ci%28t%29%20%3D%20200%20%5C%3A%20%5B%20%7B5%5C%3A%20%28t%20%2B%20%5Cfrac%7Be%5E%7B-0.5t%7D%7D%7B0.5%7D%29%5D_0%5Et%20%5C%5Ci%28t%29%20%3D%20200%5Ctimes5%5C%3A%20%5C%3A%20%5B%20%7B%20%28t%20%2B%202e%5E%7B-0.5t%7D%20%2B%202%20%29%5D%20%5C%5C)
So the current at t = 2 seconds is
The energy stored in the inductor at t = 2 seconds is
Answer:
Engineering is a broad category that includes a variety of occupations and attempts to solve problems using math and systematic and scientific processes.
Explanation:
Engineering is the scientific discipline that deals with the implementation of science on materials, constructions, machines, systems and processes to realize a specific goal. It is an area of technical activity that includes a number of specialized areas and disciplines aimed at the practical application of scientific, economic, social and practical knowledge in order to turn natural resources for the benefit of humans.
The goals of engineering activities are the invention, development, creation, implementation, repair, maintenance and / or improvement of equipment, materials or processes. Engineering is closely intertwined with science, relying on the postulates of fundamental science and the results of applied research. In this sense, it is a branch of scientific and technical activity.
Answer:
Explanation:
Soil bearing pressure=
Since we're given pressure of 2500 psf and load of 45000 pounds
The area=
Therefore, the smallest area of safe footings should not be less than
Answer:
(A) Maximum voltage will be equal to 333.194 volt
(B) Current will be leading by an angle 54.70
Explanation:
We have given maximum current in the circuit 
Inductance of the inductor 
Capacitance 
Frequency is given f = 44 Hz
Resistance R = 500 ohm
Inductive reactance will be 
Capacitive reactance will be equal to 
Impedance of the circuit will be 
So maximum voltage will be 
(B) Phase difference will be given as 
So current will be leading by an angle 54.70
