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Thevenin Equivalent Voltage And Resistance: Me kana da shi?

Electrical4u
Electrical4u
فیلڈ: Karkashin Kuliya da Dukkana
0
China

Wani ne Thevenin’s Theorem (Thevenin Equivalent)?

Thevenin theorem (ko da ake kira Helmholtz–Thévenin theorem) ce ke cikin baka mai zurfi na da voltage sources, current sources, da kuma resistances za su iya canzawa da Thevenin equivalent circuit. Wannan Thevenin equivalent circuit yana da voltage source (VTh) da resistance (RTh) a kan load.

Thevenin’s theorem ya fara a bayarwa da Léon Charles Thévenin wanda ya kasance mahaifinsa na Faransa.

Thevenin theorem ana amfani da shi don kawo cikin baka mai zurfi zuwa Thevenin equivalent circuit mai biyu. Thevenin equivalent circuit yana da Thevenin resistance da Thevenin voltage source a kan load, kamar yadda aka nuna a daga cikin wannan takarda.

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Thevenin Theorem

Thevenin resistance (Rth) tana da sunan equivalent resistance. Thevenin voltage (Vth) tana da open-circuit voltage a kan load terminals.

Wannan theorem yana da muhimmanci a cikin baka mai zurfi. Idan akwai abubuwa kamar semiconductors ko gas-discharging components, ba zan iya amfani da Thevenin’s Theorem ba.

Thevenin Equivalent Formula

Thevenin equivalent circuit yana da equivalent voltage source, equivalent resistance, da kuma load kamar yadda aka nuna a daga cikin takarda-1(b).

Thevenin equivalent circuit yana da loop mai tsawo. Idan a yi KVL (Kirchhoff’s Voltage Law) a kan wannan loop, za a iya samun current wanda ya bar da load.

Kamar yadda KVL ce,


\[ V_{th} = I ( R_{th} + R_L ) \]

  \[ I = \frac{V_{th}}{( R_{th} + R_L)} \]

Yadda a Gano Thevenin Equivalent Circuit

Thevenin equivalent circuit yana da Thevenin resistance da Thevenin voltage source. Saboda haka, muna bukata waɗannan duɗu uku don Thevenin equivalent circuit.

Thevenin Equivalent Resistance

Don kula Thevenin equivalent resistance, ake gudana power sources daga cikin baka na gaba. Da kuma voltage sources suka short-circuited da kuma current sources suka opened.

Saboda haka, cikin baka na gaba yana da resistances kawai. A nan, kula total resistance a kan open connection points a kan load terminals.

Equivalent resistance tana kula da series da parallel connections of resistances. A nan, kula equivalent resistance. Wannan resistance tana da sunan Thevenin resistance (Rth).

Thevenin Equivalent Voltage

Don kula Thevenin equivalent voltage, load impedance tana open-circuited. A nan, kula open-circuit voltage a kan load terminals.

Thevenin equivalent voltage (Veq) tana da open-circuit voltage a kan two terminals of load. Wannan value of the ideal voltage source tana amfani a Thevenin equivalent circuit.

Thevenin Equivalent Dependent Source

Idan a cikin baka na network akwai dependent sources, Thevenin resistance tana kula da wata ƙarin hanyar. A nan, dependent sources tana daidai. Ba zan iya gudana (open or short circuit) voltage ko current sources ba.

Akwai biyu methods don kula Thevenin resistance a cikin dependent sources.

Method 1

A nan, muna bukata Thevenin voltage (Vth) da short-circuit current (Isc). Put these values in the below equation to find the Thevenin resistance.

  \[ R_{th} = \frac{V_{th}}{I_{sc}} \]

Thevenin voltage tana da voltage across the terminals A and B. A nan, muna da Thevenin voltage. Short-circuit current tana samun a kan shorting load terminals da kuma kula current wanda ya bar da shorted branch.

A nan, voltage and current sources tana daidai. Ba zan iya open or short circuit sources, idan ita depended ko independent source.

Ba da kyau kuma kara mai rubutu!
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