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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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