# Questions tagged [formula-derivation]

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### Inconsistency of electrical loss function

We have a function to calculate electrical losses for resistances and it is that $$P = I^2 \cdot R$$ If we consider this formula, our teachers generally say that if you want to decrease the losses, ...
• 3
1 vote
133 views

### Deriving power formulas for transmission lines

I'm trying to derive formulas for active power ($P_s$) and reactive power ($Q_s$) at the sending end of a transmission line shown below: Where: $E_s$ and $E_r$ are voltage magnitudes $X$ is ...
• 35
1 vote
187 views

### Formula for calculating instantaneous power in pure inductive and pure capacitive circuit

According to the material provided by a faculty this is what the formulas were and how they were derived. According to the derivation we did in class, we were getting: P = -VrmsIrmssin 2ωt for pure ...
• 65
1 vote
59 views

### Can someone confirm my derivation of the generalized power law from Practical Electronics, 4th edition?

I dont know how to use LaTeX, so I used Mathcha and took a snip from there.
• 11
32 views

### Looking for a formula to calculate the resitance needed to make a proximity sensor shorter! RCWL-0516

I want to decrease the range of this cheap sensor dramatically from 5m to 5cm! Im not sure which equation I use to calculate this. I'm assuming but not sure if there is a bigger resister value that I ...
• 1
111 views

### Overall Gain for Mixer Circuit

I am working on an audio mixer circuit for balanced studio gear. The circuit consists of two unity gain balanced line receivers (THAT1200), going into a pair of voltage dividers controlled by a shared ...
78 views

### Transfer function : Determination [closed]

I have the below circuit, here, I have Is and Va are measurable quantities. Rc1..Rc4 and Rbd are unknown variables for which I intend to derive transfer function. I have flexibility of adding ...
• 121
196 views

### How to derive the formula from this circuit?

This is the schematic to measure the $R_{iso}$. There is a switch, Q2 for the measurement. I need to find how to derive the $Y_{iso}$ from this circuit schematic. To find it out, I tried to use ...
1 vote
168 views

### Transfer function : Complex network

For the attached circuit attached in LTspice spice, I am trying to find the transfer function interms of Rc1,Rc2,Rc3 and Rc4. For that I have switches which I configure to turn on/off and measure the ...
• 121
30 views

1 vote
411 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 ... 89 views

### Trying to find value of two capacitors using resonant frequencies in three conditions, but wrong formula is derived

I was trying to find capacitance of two capacitors in the following way. Connect each capacitor individually to a same inductor and find resonant frequency in each case. Connect the same capacitors ...
• 123
119 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 '...
• 491
2k views

### Derive current through "charging" inductor formula

I don't know if it's just me but I can't find a single resource that derives a general equation for the current through an inductor. My text book just says "assume the equation if of the form ..." but ...
• 33
199 views

### Deriving the Integral Voltage-Current Relationship of a Capacitor

I am having trouble understanding the derivation of the capacitor voltage equation in my circuits textbook. Here is the process they followed from the textbook My confusion is: when the initial ...
249 views

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