Sir, Thank you so much for the great work. I finally understood complex number, Laplace transformation, and their application in real world, it's like finding the meaning of learning math. Your videos are priceless treasury for engineering students. BTW, for the voltage source with a concrete sinusoidal expression, it looks way easier to use phasor.
I apologize in advance for the stupid question. How can a flux = to L*I be represented as a voltage = L * di/dt? Is the 7.5 A actually 7.5 A/s? Otherwise the units do not match up.
Flux (magnetic flux, of course) is to voltage, what charge is to current. Faraday's Law, in one of its representations, states that v = d(flux)/dt (actually flux linkages, but the units are the same, webers, so we'll let that stay). But, as you correctly stated, flux = L . i, so, subs flux in Faraday's expression and you land on v = d(L.i)/dt = L di/dt (assuming that L is a constant). The units? They go like this, weber = henry x amp, and volt = weber / second = henry x amp / second.
Please watch the video on this series about Topology. That will answer your question in greater detail that can be spared in these little boxes that CZcams provide for comments.
Sir, Thank you so much for the great work. I finally understood complex number, Laplace transformation, and their application in real world, it's like finding the meaning of learning math. Your videos are priceless treasury for engineering students. BTW, for the voltage source with a concrete sinusoidal expression, it looks way easier to use phasor.
Thank you for your kind words. They mean a lot to me. This is not a monetized channel, so feedback like yours makes it worth it for me.
very nice
I apologize in advance for the stupid question. How can a flux = to L*I be represented as a voltage = L * di/dt? Is the 7.5 A actually 7.5 A/s? Otherwise the units do not match up.
Flux (magnetic flux, of course) is to voltage, what charge is to current. Faraday's Law, in one of its representations, states that v = d(flux)/dt (actually flux linkages, but the units are the same, webers, so we'll let that stay). But, as you correctly stated, flux = L . i, so, subs flux in Faraday's expression and you land on v = d(L.i)/dt = L di/dt (assuming that L is a constant). The units? They go like this, weber = henry x amp, and volt = weber / second = henry x amp / second.
how the three 6 ohm resistors equivalent be 4.5. they are not in parallel
Please watch the video on this series about Topology. That will answer your question in greater detail that can be spared in these little boxes that CZcams provide for comments.
In a nut shell, (6+6)*6/(6+6+6) = 4 ohms, but better watch the whole story in the video on Topology.