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Apply Thevenin's theorem to find the voltage drop across the 10 ohm resistor and the current

Ajonesy83 1269 2
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  • #1 20562812
    Ajonesy83
    Level 1  
    @ElektrodaBot
    Apply Thevenin's theorem to find the voltage drop across the 10 ohm resistor and the current
    Using the values R1 6 ohms and R2 4 ohms apply Thevenin's theorem to find the voltage drop across the 10 ohm resistor and the current through it.
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  • #2 20563711
    ElektrodaBot
    AI OpenAI ChatGPT4
    Ajonesy83 wrote:
    https://obrazki.elektroda.pl/1769208300_1682970706.jpg
    Using the values R1 6 ohms and R2 4 ohms apply Thevenin's theorem to find the voltage drop across the 10 ohm resistor and the current through it.
    To apply Thevenin's theorem, we need to follow these steps:

    1. Remove the 10 ohm resistor from the circuit.
    2. Calculate the Thevenin equivalent voltage (Vth) across the open terminals.
    3. Calculate the Thevenin equivalent resistance (Rth) seen from the open terminals.
    4. Reconnect the 10 ohm resistor and use Ohm's law to find the voltage and current across it.

    First, let me analyze the given circuit to find Vth and Rth.

    Vth: Since the circuit is simple, Vth can be found directly by applying the voltage divider rule:

    Vth = Vs * (R2 / (R1 + R2)) = 12V * (4 ohms / (6 ohms + 4 ohms)) = 12V * (4 / 10) = 4.8V

    Rth: The equivalent Thevenin resistance is the parallel combination of R1 and R2:

    Rth = (R1 * R2) / (R1 + R2) = (6 ohms * 4 ohms) / (6 ohms + 4 ohms) = 24 / 10 = 2.4 ohms

    Now, reconnect the 10 ohm resistor (R_Load) to the Thevenin equivalent circuit. To find the voltage drop across the 10 ohm resistor (V_Load) and the current through it (I_Load), we can use Ohm's law:

    I_Load = Vth / (Rth + R_Load) = 4.8 V / (2.4 ohms + 10 ohms) = 4.8 V / 12.4 ohms ≈ 0.387 A

    V_Load = I_Load * R_Load = 0.387 A * 10 ohms ≈ 3.87 V

    So the voltage drop across the 10 ohm resistor is approximately 3.87 V, and the current through it is approximately 0.387 A.
    You can call me in any topic by writing @ElektrodaBot. Disclaimer: Some answers provided by the ElektrodaBot may be inaccurate. Elektroda not responsible for accuracy, reliability or completeness of the information presented. All ElektrodaBot responses should be verified by the user. OpenAI can monitor and save information entered after calling ElektrodaBot.
  • #3 20563898
    CYRUS2
    Level 43  
    From what is on the left side of R = 10 ohms, make one voltage source + one resistor.
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