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    Two resistors of 10 and 20 are connected in series and this combination is connected across a 30 V supply voltage. Find the voltage across the 10 r
    Question

    Two resistors of 10 and 20 are connected in series and this combination is connected across a 30 V supply voltage.
    Find the voltage across the 10 resistor.

    A.

    10 V

    B.

    20 V

    C.

    15 V

    D.

    5 V

    Correct option is A

    When resistors are in series, the same current flows through each resistor. The voltage drop across each resistor is proportional to its resistance based on Ohm’s Law (V = IR).
    The total resistance in the circuit is 10 Ω + 20 Ω = 30 Ω. The supply voltage is 30 V, so the total current I in the circuit is
    I=Total VoltageTotal Resistance=3030=1I = \frac{\text{Total Voltage}}{\text{Total Resistance}} = \frac{30}{30} = 1
    The voltage drop across the 10 Ω resistor is thus
    V10Ω=I×10 Ω=1×10=10 V.V_{10\Omega} = I \times 10 \, \Omega = 1 \times 10 = 10 \text{ V}.

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