Calculate the reading on V1.

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Step-by-step solution

4 steps
  1. Identify the circuit type.

    This is a series circuit.

  2. Calculate the total resistance (RtotalR_{total}).

    In a series circuit, the total resistance is the sum of individual resistances.
    Rtotal=R1+R2R_{total} = R_1 + R_2
    Rtotal=10 Ω+20 ΩR_{total} = 10 \, \Omega + 20 \, \Omega
    Rtotal=30 ΩR_{total} = 30 \, \Omega

  3. Calculate the total current (ItotalI_{total}) flowing through the circuit using Ohm's Law (V=I×RV = I \times R).

    Itotal=VtotalRtotalI_{total} = \frac{V_{total}}{R_{total}}
    Itotal=12 V30 ΩI_{total} = \frac{12 \, V}{30 \, \Omega}
    Itotal=0.4 AI_{total} = 0.4 \, A

  4. Determine the reading on V1.

    V1 measures the voltage drop across R1R_1.
    The voltage drop across R1R_1 (V1V_1) is calculated using Ohm's Law:
    V1=Itotal×R1V_1 = I_{total} \times R_1
    V1=0.4 A×10 ΩV_1 = 0.4 \, A \times 10 \, \Omega
    V1=4 VV_1 = 4 \, V

    The reading on V1 is 4 V.

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