Calculate the DC output voltage using:
\[
V_{dc} = \frac{V_m}{\pi} \left( 1 + \cos\left(\alpha \times \frac{\pi}{180}\right) \right)
\]
* Enter the peak AC voltage \(V_m\) (V) and the firing angle \(\alpha\) (°).
Example: 170 V (peak for a 120 V RMS supply)
Example: 30°
Calculate the power factor of a balanced three-phase system using the two-wattmeter method.
Using the formulas:
\[
\tan\phi = 1.732\,\frac{W_1 – W_2}{W_1 + W_2}
\]
and
\[
\text{PF} = \cos\phi
\]
Example: 5000 W
Example: 3000 W
Calculate the mechanical torque of a synchronous motor.
Using the formula:
\[
T = \frac{P \times 1000 \times 60}{2\pi N}
\]
where \(P\) is in kW and \(N\) is in rpm.
Example: 10 kW
Example: 1800 rpm
Calculate the mechanical output power of a three-phase induction motor.
Using the formulas:
\[
P_{in} = \sqrt{3} \, V \, I \, \cos\phi
\]
\[
P_{out} = P_{in} \times \eta
\]
(Efficiency \(\eta\) is expressed as a decimal.)
Enter the line-to-line voltage (e.g., 400 V)
Enter the line current (e.g., 10 A)
Enter the power factor (e.g., 0.9)
Enter efficiency as a percentage (e.g., 90 for 90%)
Calculate the secondary voltage of an ideal transformer.
Using the formula:
\[
V_s = V_p \times \frac{N_s}{N_p}
\]
Example: 120 V
Example: 100 turns
Example: 50 turns
Calculate the maximum vapor (flooding) velocity using the Kloss equation.
Using the formula:
\[
v_f = K \sqrt{\frac{\rho_L – \rho_V}{\rho_V}}
\]
where:
\(K\) = Kloss constant (m/s), \(\rho_L\) = Liquid density (kg/m³), \(\rho_V\) = Vapor density (kg/m³)
Typical values range from 0.1 to 0.3 m/s
e.g., 1000 kg/m³ for water
e.g., 5 kg/m³ for a typical vapor
Calculate the approximate voltage gain of a BJT cascode amplifier.
The gain is approximated by:
For an ideal cascode amplifier:
\[
g_m = \frac{I_C}{V_T}, \quad A_v \approx -g_m \times R_C
\]
where \(V_T\) is assumed to be 25 mV.
Example: 1 mA
Example: 10,000 Ω (10 kΩ)
Convert pressure from bars to PSI using: \[ 1\,\text{bar} \approx 14.5038\,\text{PSI} \]
* Enter the pressure in bars.
Convert a length from centimeters to feet using: \[ 1\,\text{cm} \approx 0.0328084\,\text{ft} \]
* Enter the length in centimeters.
Convert a length from centimeters to yards using: \[ 1\,\text{cm} \approx 0.0109361\,\text{yd} \]
* Enter the length in centimeters.
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