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What is the current flowing in the circuit?

Physics

ScanSolve AI Answer

Answer

4.00 A\text{4.00 A}

Step-by-step solution

2 steps
  1. Calculate the total resistance of the series circuit.

    For resistors connected in series, the total resistance (RTR_T) is the sum of individual resistances.

    RT=R1+R2R_T = R_1 + R_2 RT=8 Ω+4 ΩR_T = 8 \, \Omega + 4 \, \Omega RT=12 ΩR_T = 12 \, \Omega
  2. Apply Ohm's Law to find the current.

    Ohm's Law states that current (II) is equal to voltage (VV) divided by resistance (RR).

    I=VRTI = \frac{V}{R_T}

    Given V=48 VV = 48 \, V and RT=12 ΩR_T = 12 \, \Omega:

    I=48 V12 ΩI = \frac{48 \, V}{12 \, \Omega} I=4 AI = 4 \, A

    The current flowing in the circuit is 4.00 A4.00 \, A. This corresponds to option B.

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