Firing Angle of UJT as Oscillator Thyristor Firing Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))
∠α = ω*Rstb*C*ln(1/(1-η))
This formula uses 1 Functions, 5 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Firing Angle - (Measured in Radian) - Firing angle is the angle in the AC cycle at which the thyristor starts conducting at the application of positive voltage to gate.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the angular displacement per unit of time.
Stablizing Resistance - (Measured in Ohm) - Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential for any thyristor circuit.
Intrinsic Stand-off Ratio - Intrinsic stand-off ratio UJT as Oscillator is defined as the ratio of emitter base 1 resistance to the total emitter base junctions resistances.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 23 Radian per Second --> 23 Radian per Second No Conversion Required
Stablizing Resistance: 32 Ohm --> 32 Ohm No Conversion Required
Capacitance: 0.3 Farad --> 0.3 Farad No Conversion Required
Intrinsic Stand-off Ratio: 0.529 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠α = ω*Rstb*C*ln(1/(1-η)) --> 23*32*0.3*ln(1/(1-0.529))
Evaluating ... ...
∠α = 166.239698440431
STEP 3: Convert Result to Output's Unit
166.239698440431 Radian -->9524.83310816601 Degree (Check conversion ​here)
FINAL ANSWER
9524.83310816601 9524.833 Degree <-- Firing Angle
(Calculation completed in 00.020 seconds)

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Firing Angle of UJT as Oscillator Thyristor Firing Circuit Formula

​LaTeX ​Go
Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))
∠α = ω*Rstb*C*ln(1/(1-η))

What are the applications of UJT?

An UJT or Unijunction Transistor find many applications just in the domain of power electronics and some of them are :
Relaxation oscillators. Switching Thyristors like SCR, TRIAC etc.
Magnetic flux sensors. Voltage or current limiting circuit.
Bistable oscillators.
Voltage or current regulators.
Phase control circuits.

How to Calculate Firing Angle of UJT as Oscillator Thyristor Firing Circuit?

Firing Angle of UJT as Oscillator Thyristor Firing Circuit calculator uses Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio)) to calculate the Firing Angle, The Firing Angle of UJT as Oscillator Thyristor Firing Circuit formula is defined as the angle at which the injection of voltage at the gate terminal of the thyristor causes it to start conducting. Firing Angle is denoted by ∠α symbol.

How to calculate Firing Angle of UJT as Oscillator Thyristor Firing Circuit using this online calculator? To use this online calculator for Firing Angle of UJT as Oscillator Thyristor Firing Circuit, enter Angular Frequency (ω), Stablizing Resistance (Rstb), Capacitance (C) & Intrinsic Stand-off Ratio (η) and hit the calculate button. Here is how the Firing Angle of UJT as Oscillator Thyristor Firing Circuit calculation can be explained with given input values -> 664167.5 = 23*32*0.3*ln(1/(1-0.529)).

FAQ

What is Firing Angle of UJT as Oscillator Thyristor Firing Circuit?
The Firing Angle of UJT as Oscillator Thyristor Firing Circuit formula is defined as the angle at which the injection of voltage at the gate terminal of the thyristor causes it to start conducting and is represented as ∠α = ω*Rstb*C*ln(1/(1-η)) or Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio)). Angular Frequency refers to the angular displacement per unit of time, Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential for any thyristor circuit & Intrinsic stand-off ratio UJT as Oscillator is defined as the ratio of emitter base 1 resistance to the total emitter base junctions resistances.
How to calculate Firing Angle of UJT as Oscillator Thyristor Firing Circuit?
The Firing Angle of UJT as Oscillator Thyristor Firing Circuit formula is defined as the angle at which the injection of voltage at the gate terminal of the thyristor causes it to start conducting is calculated using Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio)). To calculate Firing Angle of UJT as Oscillator Thyristor Firing Circuit, you need Angular Frequency (ω), Stablizing Resistance (Rstb), Capacitance (C) & Intrinsic Stand-off Ratio (η). With our tool, you need to enter the respective value for Angular Frequency, Stablizing Resistance, Capacitance & Intrinsic Stand-off Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Firing Angle?
In this formula, Firing Angle uses Angular Frequency, Stablizing Resistance, Capacitance & Intrinsic Stand-off Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Firing Angle = asin(Gate Threshold Voltage*((Stablizing Resistance+Variable Resistance+Thyristor Resistance)/(Peak Input Voltage*Stablizing Resistance)))
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