Question

In an electric circuit, two resistors of $2\Omega$ and $4\Omega$ are connected in series with a 12 V battery.
Identify which of the following statement is true?

• A. The $2\Omega$ will get more current than the $4\Omega$ resistor since it has less resistance
• B. The $4\Omega$ will get more current than the $2\Omega$ resistor since it has more resistance
• C. The voltage drop across the $2\Omega$ and $4\Omega$ resistors will be same
• D. The voltage drop across the $2\Omega$ resistor will be more than that across the $4\Omega$ resistors
• E. The voltage drop across the $4\Omega$ resistor will be more than that across the $2\Omega$ resistors

Answer 1

The correct option is E The voltage drop across the $4\Omega$ resistor will be more than that across the $2\Omega$ resistors

Total resistance of the circuit $R=2+4=6\Omega$

Voltage drop across $2\Omega$, $V_2=\frac{2}{6}\times 12=4$ volts

Voltage drop across $4\Omega$, $V_4=\frac{4}{6}\times 12=8$ volts

$⟹$ $V_4>V_2$