Resistances in Series and Parallel — Prelims Questions

Three resistors of $2,Omega$, $3,Omega$, and $6,Omega$ are connected in parallel. This combination is then connected in series with a $4,Omega$ resistor. If the entire circuit is connected to a $12,\text{V}$ battery, what is the total current drawn from the battery?

Two resistors, $R_1 = 10,Omega$ and $R_2 = 20,Omega$, are connected in series across a $30,\text{V}$ battery. What is the voltage drop across $R_1$?

Two resistors, $R_A$ and $R_B$, are connected in parallel. If $R_A = 12,Omega$ and the equivalent resistance of the combination is $4,Omega$, what is the value of $R_B$?

Which of the following statements is TRUE regarding power dissipation in a parallel combination of two unequal resistors, $R_1$ and $R_2$, where $R_1 < R_2$?

A circuit consists of a $10,Omega$ resistor and a $15,Omega$ resistor connected in series. If the current flowing through the $10,Omega$ resistor is $0.5,\text{A}$, what is the current flowing through the $15,Omega$ resistor?

Four identical resistors, each of resistance $R$, are connected in parallel. What is their equivalent resistance?