(1.1)

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Thevenins theorem :

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Any linear electrical network with voltage and current sources and only resistances can be replaced at terminals A-B by an equivalent voltage source Vth in series connection with an equivalent resistance Rth.

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The equivalent voltabe Vth is the voltage obtained at terminals A-B of the network with terminals A-B open circuited.

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\"\"

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(1.2)

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Step 1:

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Draw the circuit as 12 V battery is connected in series with a \"\" resistor R1.

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Consider R2 and RL are parallel to the battery.

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\"\"

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Using kirchoffs voltage law :

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From loop I1 :

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\"\"

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From loop I2 :

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\"\"

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Multiply equation (2) with 3.

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\"\"

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Now solve for \"\" using equations (1) and (3).

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\"\"

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\"\"

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The current through load resistance RL is 0.86 A.