| 1. | \(\dfrac{3}{11}~\text{A}\) | 2. | \(\dfrac{4}{11}~\text{A}\) |
| 3. | \(\dfrac{5}{11}~\text{A}\) | 4. | zero |
In the circuit, wire \(1\) is of negligible resistance. Then:

| 1. | current will flow through wire \(1\) if \(E _{1}\neq E _{2}\) |
| 2. | current will flow through wire \(1\) if \(\dfrac{E _{1}}{R_{1}}\neq \dfrac{E _{2}}{R_{2}}\) |
| 3. | current will flow through wire \(1\) if \((E_{1} +E _{2})\left ( R_{1}+R_{2} \right )\neq (E_{1} -E _{2})\left ( R_{1}-R_{2} \right )\) |
| 4. | no current will flow through wire \(1\) |