Firing Angle of UJT as Oscillator Thyristor Firing Circuit Calculator

✖Angular Frequency refers to the angular displacement per unit of time.ⓘ Angular Frequency [ω]			+10% -10%
✖Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize.ⓘ Stablizing Resistance [R_stb]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential for any thyristor circuit.ⓘ Capacitance [C]			+10% -10%
✖Intrinsic stand-off ratio UJT as Oscillator is defined as the ratio of emitter base 1 resistance to the total emitter base junctions resistances.ⓘ Intrinsic Stand-off Ratio [η]			+10% -10%

✖Firing angle is the angle in the AC cycle at which the thyristor starts conducting at the application of positive voltage to gate.ⓘ Firing Angle of UJT as Oscillator Thyristor Firing Circuit [∠α]

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Formula

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Firing Angle of UJT as Oscillator Thyristor Firing Circuit

Formula

`"∠α" = "ω"*"R"_{"stb"}*"C"*ln(1/(1-"η"))`

Example

`"9524.833°"="23rad/s"*"32Ω"*"0.3F"*ln(1/(1-"0.529"))`

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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*R_stb*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*R_stb*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 00.035 seconds)

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Peak Thyristor Gate Voltage for Resistance Firing Circuit

Go Maximum Gate Voltage = (Peak Input Voltage*Stablizing Resistance)/(Variable Resistance+Thyristor Resistance+Stablizing Resistance)

Firing Angle of UJT as Oscillator Thyristor Firing Circuit

Go Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))

Time Period for UJT as Oscillator Thyristor Firing Circuit

Go Time Period of UJT as Oscillator = Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))

Peak Thyristor Gate Voltage for RC Firing Circuit

Go Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave))

Emitter Current for UJT based Thyristor Firing Circuit

Go Emitter Current = (Emitter Voltage-Diode Voltage)/(Emitter Resistance Base 1+Emitter Resistance)

Frequency of UJT as Oscillator Thyristor Firing Circuit

Go Frequency = 1/(Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio)))

Intrinsic Stand-off Ratio for UJT based Thyristor Firing Circuit

Go Intrinsic Stand-off Ratio = Emitter Resistance Base 1/(Emitter Resistance Base 1+Emitter Resistance Base 2)

Discharging Current of dv-dt Protection Thyristor Circuits

Go Discharging Current = Input Voltage/((Resistance 1+Resistance 2))

Emitter Voltage to Turn On UJT based Thyristor Firing Circuit

Go Emitter Voltage = Emitter Resistance Base 1 Voltage+Diode Voltage

Firing Angle of UJT as Oscillator Thyristor Firing Circuit Formula

Firing Angle = Angular Frequency*Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))
∠α = ω*R_stb*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 (R_stb), 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*R_stb*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 (R_stb), 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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