Figure shows a circuit of four resistors that are connected to a larger circuit. The graph below the circuit shows the electric potential $V\left(x\right)$ as a function of position $x$ along the lower branch of the circuit, through resistor $4 ;$ the potential $V_A=$$15.0 \mathrm{V}$. The graph above the circuit shows the electric potential $V\left(x\right)$ versus position $x$ along the upper branch of the circuit, through resistors $1, 2$ and $3;$ the potential differences are  $\mathrm{\Delta }{V}_B=2.00 \mathrm{V}$ and $\mathrm{\Delta }{V}_C=5.00 \mathrm{V}.$ Resistor $3$ has a resistance of $200 \mathrm{\Omega }$ and same potential drop as resistor$2$  What is the resistance of (a) resistor $1$ and (b) resistor $2$?

(a) In electron-volts, how much work does an ideal battery with a $20.0 \mathrm{V}$ emf do on an electron that passes through the battery from the positive to the negative terminal?

(b) If $5.17\times {10}^{18}$ electrons pass through each second, what is the power of the battery in watts?

Figure shows five $8.00 \mathrm{\Omega }$ resistors. Calculate equivalent resistance between points (a) $F$ and $H$ and (b) $F$ and $G$. (Hint: For each pair of points, imagine that a battery is connected across the pair.

In figure, the ideal batteries have emfs ${\mathcal{E}}_1=12 \mathrm{V}$, ${\mathcal{E}}_2=4.0 \mathrm{V}$ and resistances are $R_1=4 \mathrm{\Omega }$ and $R_2=8 \mathrm{\Omega }$. What are (a) the current (b) dissipation rate in resistor $1(4.0 \mathrm{\Omega })$ (c) dissipation rate in resistor $2(8.0 \mathrm{\Omega }),$ and the energy transfer rate in (d) battery $1$ and (e) battery $2$? Is energy being supplied or absorbed by (f) battery $1$ and (g) battery $2$?

In fig., $R_1=4.00 R,$ the ammeter resistance is zero and the battery is ideal. What multiple of $\mathcal{E}/R$ gives the current in the ammeter?