In an electrical circuit, the three resistors of 3 Ω, 6 Ω and 9 Ω are connected in series. The voltage drop across 3 Ω is 5 V. The voltage drop across the combination is |
5 V 30 V 9 V 15 V |
30 V |
The correct answer is Option (2) → 30 V Given: Resistances in series: $R_1 = 3 \, \Omega$, $R_2 = 6 \, \Omega$, $R_3 = 9 \, \Omega$ Voltage drop across $R_1$: $V_1 = 5 \, \text{V}$ Current in series is same through all resistors: $I = \frac{V_1}{R_1} = \frac{5}{3} \, \text{A}$ Voltage drop across 6 Ω: $V_2 = I \cdot R_2 = \frac{5}{3} \cdot 6 = 10 \, \text{V}$ Voltage drop across 9 Ω: $V_3 = I \cdot R_3 = \frac{5}{3} \cdot 9 = 15 \, \text{V}$ Total voltage drop: $V = V_1 + V_2 + V_3 = 5 + 10 + 15 = 30 \, \text{V}$ |