Questions tagged [formula-derivation]

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175 views

Current derivative in RLC circuit

How to find the current derivative(di/dt) at t = 0+ in the first loop?
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0answers
34 views

Is mmf the same as the magnetic force?

In the following system, I created the following equation in terms of what I assumed to be the force acting on the movable object with a mass M. The reluctance of the core is neglected, so the total ...
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1answer
203 views

Differential equation of a RRC circuit as Voltage output/voltage input?

So in this presentation i have got, there is a RRC circuit, and they get this differential equation, but there is no procedure explained how they have got it. This is basicially a series RRC circuit ...
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1answer
54 views

Calculate field strength for shielded isotropic transmitter

How to calculate the field strength of a shielded theoretical isotropic transmitter, if there is a hole in the shield for example. I am looking for a complex formula that also takes into account the ...
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630 views

JFET transconductance vs. MOSFET transconductance

JFET's n-channel highest transconductance (from datasheets) is marked as In theory, the same value is defined as that applies for n-channel JFET. I haven't found equation which defines MOSFET's ...
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1answer
50 views

Derivatives in time and phasor domains do not match

Given that voltage can be represented in the time domain as the following: $$V(t) = \vec{\mathbf{|V|}}\cos{(\omega t + \phi_V)}$$ It can be shown that in the phasor domain, this is the equivalent ...
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50 views

Find i/o pole of the cascade (BJT)

I have to obtain the pole of this circuit and the conversion function, but I can not do it . How many poles does this circuit have? And what are their relationships according to the arrangement of ...
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2answers
67 views

Proof for Peak Time for an Underdamped Second-Order System

I've been attempting to prove the taught result that: $$T_p=\frac{\pi}{\omega_n\sqrt{1-\zeta^2}}\textrm{.}$$ From the time-domain form of an underdamped response, we have $$c(t)=K_1e^{-\sigma_dt}\cos(...
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90 views

Derive DC motor formula with drum driving a conveyor belt

The setup is a DC motor directly connected via its shaft to a drum which drives a horizontal conveyor belt. There is a load of mass, M, on the conveyor belt. I am stuck on trying to figure out what '...
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2answers
753 views

Maximum power transfer derivation

In my textbook, the author showed the calculus derivation of what value of load resistance is needed such that it will absorb maximum power from the source, while keeping the Thevenin voltage and ...
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0answers
64 views

Critical Maximum current for a DC-DC Buck Converter

I was wondering how one would go about the derivation for the output to input voltage ratio for a DC-DC Buck converter given the critical max current that is found to be $$ I_{crit} = \frac{V_{in}T}{...
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79 views

Mason's Gain Formula with a not connected loops

We have the following path. I tried to create the gain with Mason's formula, which lead me to the following: ...
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563 views

Common Source JFET amplifier input voltage

I want to compare to different formulas which stand for same parameter/value. Here is common source JFET amplifier circuit schematic: Here is the first formula which should apply in general to all ...
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1answer
317 views

How to implement derivative, and create a delay of dozens of clock cycles?

I have uart entity which have the following signals (I write only the relevant - for tx) ...