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ADC Resolution Calculator

Electronics

Calculates the ideal ADC LSB size from the input-voltage span and ADC bit depth

\(R = \frac{V_{span}}{2^N}\)
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Constant Current Charge Circuit

Electronics

How long it takes a capacitor to reach a certain voltage given a constant current input.

\(t = \frac{C (V_f - V_i)}{I}\)
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Differential Low Pass Filter

Electronics

Equal series resistors in both signal legs, with one capacitor across the differential pair. Uses total differential resistance: R_d = 2R.

\(f_c = \frac{1}{2 * 3.14159 * R_{sum} *C_{d}}\)
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Filtered Voltage Divider

Electronics

This formula calculates the cutoff frequency of the RC voltage divider using the equivalent resistance of the top and bottom resistors in parallel. The solution is approximate. This approximation assumes: No load on the divider node. Ideal source. No series resistance before the divider. Capacitor ESR negligible.

\(f_c = \frac{1}{2 \times 3.14159 \times \left( \frac{R_{TOP} \times R_{BOT}}{R_{TOP} + R_{BOT}} \right) \times C_{FILT}}\)
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LC Tank Circuit - Resonant Frequency

Electronics

Calculates the resonant frequency of an ideal LC tank circuit. This frequency represents the natural oscillation point where inductive and capacitive reactances are equal in magnitude. Useful for filter design, EMI analysis, and stability evaluation in power electronics and signal applications.

\(f_0 = \frac{1}{2*pi*\sqrt{L*C}}\)
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MOSFET temperature rise

Electronics

Current multiplied by Rds,on multiplied by thermal impedance. Don't forget to use an Rds,on appropriate to your temperature.

\(T_j = I^2 * R_{ds} * Z_{th} + T_a\)
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Ohms Law

Electronics

No description

\(V = I * R\)
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Parallel Resistor Calculator (2 resistors)

Electronics

No description

\(\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2}\)
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RC Charge from 0

Electronics

Calculates the time required for an RC charging node, starting at 0 V, to reach a specified threshold voltage after a step input is applied. Assumes an ideal step source to a constant input voltage, fixed resistance and capacitance, zero initial capacitor voltage, and no loading on the node. Valid only when the threshold is less than the input voltage; as the threshold approaches the input level, the time increases rapidly and becomes numerically sensitive.

\(t = -R* C \ln\left(1 - \frac{V_{th}}{V_{in}}\right)\)
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