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    Power loss and voltage drop respectively, in the 2Ω resistor is
    Question

    Power loss and voltage drop respectively, in the 2Ω resistor is

    A.

    16 W and 4 V

    B.

    32 W and 8 V

    C.

    16 W and 8 V

    D.

    32 W and 4 V

    Correct option is B

    Given Circuit Supply voltage =20 V Resistors in series:R1=2 ΩR2=3 ΩStep 1: Total ResistanceRtotal=2+3=5 ΩStep 2: Circuit CurrentI=VRtotal=205=4 AStep 3: Voltage Drop across 2 Ω ResistorV2Ω=I×R=4×2=8 VStep 4: Power Loss in 2 Ω ResistorP2Ω=I2R=(4)2×2=32 W\textbf{Given Circuit} \\[6pt]\bullet \ \text{Supply voltage } = 20 \text{ V} \\[4pt]\bullet \ \text{Resistors in series:} \\[2pt]\quad R_1 = 2 \, \Omega \\[2pt]\quad R_2 = 3 \, \Omega \\[12pt]\textbf{Step 1: Total Resistance} \\[6pt]R_{\text{total}} = 2 + 3 = 5 \, \Omega \\[12pt]\textbf{Step 2: Circuit Current} \\[6pt]I = \frac{V}{R_{\text{total}}} = \frac{20}{5} = 4 \text{ A} \\[12pt]\textbf{Step 3: Voltage Drop across } 2 \, \Omega \text{ Resistor} \\[6pt]V_{2\Omega} = I \times R = 4 \times 2 = 8 \text{ V} \\[12pt]\textbf{Step 4: Power Loss in } 2 \, \Omega \text{ Resistor} \\[6pt]P_{2\Omega} = I^2 R = (4)^2 \times 2 = 32 \text{ W}​​

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