27. Resistors & DC Circuits

If every resistor below has resistance R, what is the equivalent resistance of the combination, in terms of R?

Three resistors with resistances $R=2\Omega$, $R=4\Omega$, and $R=6\Omega$ are connected in series to a $12V$ battery. What is the current through the $4\Omega$ resistor?

Three resistors with resistances $R_1$ = $2$ $\Omega$, $R_2$ = $4$ $\Omega$, and $R_3$ = $6$ $\Omega$ are connected in series. What is the equivalent resistance of the resistor network?

Given four circuits, each containing three identical resistors of resistance $R$, which arrangement results in the smallest equivalent resistance?

If three resistors with resistances $R_1$, $R_2$, and $R_3$ are connected in series, what is the equivalent resistance of the group?

When two resistors are connected in series, which physical quantity must be the same for both resistors?

What is the equivalent resistance of the following combination of resistors?

What is the equivalent resistance of the following combination of resistors?