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What is the current organizational structure of that business? Attach the organogram if available.

Economics

ScanSolve AI Answer

Answer

3A3 \mathrm{A}

Step-by-step solution

4 steps
  1. Calculate the equivalent resistance of the parallel combination (3 Ω and 6 Ω).

    Formula:

    Rp=(1R1+1R2)−1R_p = \left( \frac{1}{R_1} + \frac{1}{R_2} \right)^{-1}

    Substitute R1=3 ΩR_1 = 3\,\Omega, R2=6 ΩR_2 = 6\,\Omega:

    Rp=(13 Ω−1+16 Ω−1)−1=(26 Ω−1+16 Ω−1)−1=(36 Ω−1)−1=2 ΩR_p = \left( \frac{1}{3\,\Omega^{-1}} + \frac{1}{6\,\Omega^{-1}} \right)^{-1} = \left( \frac{2}{6\,\Omega^{-1}} + \frac{1}{6\,\Omega^{-1}} \right)^{-1} = \left( \frac{3}{6\,\Omega^{-1}} \right)^{-1} = 2\,\Omega
  2. Calculate the total equivalent resistance of the structure.

    The 2 Ω resistor is in series with the parallel combination.

    Rtotal=2 Ω+Rp=2 Ω+2 Ω=4 ΩR_\text{total} = 2\,\Omega + R_p = 2\,\Omega + 2\,\Omega = 4\,\Omega
  3. Calculate the total current in the circuit.

    Voltage across the structure V=12 VV = 12\,\mathrm{V}.
    Formula: Itotal=VRtotalI_\text{total} = \frac{V}{R_\text{total}}

    Itotal=12 V4 Ω=3 AI_\text{total} = \frac{12\,\mathrm{V}}{4\,\Omega} = 3\,\mathrm{A}
  4. The current in the 2 Ω resistor.

    The 2 Ω resistor carries the total current (series position).

    I2Ω=Itotal=3 AI_{2\Omega} = I_\text{total} = 3\,\mathrm{A}

    Final answer: 3 A
    3 A

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