(Solved): A circuit is constructed with five resistors and a battery as shown. The battery voltage is ...

A circuit is constructed with five resistors and a battery as shown. The battery voltage is $V=12\mathrm{V}$. The values for the resistors are: $R_1=49\Omega ,R_2=$ $159\Omega ,R_3=108\Omega$, and $R_4=128\Omega$. The value for $R_X$ is unknown, but it is known that ${\mathrm{I}}_4$, the current that flows through resistor $R_4$, is zero. 1) What is $I_1$, the magnitude of the current that flows through the resistor $R_1$ ? 2) What is $V_2$, the magnitude of the voltage across the resistor $R_2$ ? V 3) What is $I_2$, the magnitude of the current that flows through the resistor $R_2$ ? 4) What is $R_x$, the value of the unknown resistor $R_x$ ? 5) What is $V_1$, the magnitude of the voltage across the resistor $R_1$ ? 6) If the value of the resistor $R_2$ were doubled, how would the value of the resistor $R_3$ have to change in order to keep the current through $R_4$ equal to zero? $R_3$ would need to be increased $R_3$ would need to be decreased $R_3$ would not need to be changed There is no change that could be made to $R_3$ to keep the current through $R_4$ equal to zero.