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In the circuit, wire $1$ is of negligible resistance. Then,
  • Acurrent will flow through wire $1$, if $\varepsilon_1 \neq \varepsilon_2$
  • Bcurrent will flow through wire $1$ , if $\frac{\varepsilon_1}{R_1} \neq \frac{\varepsilon_2}{R_2}$
  • Ccurrent will flow through wire $1$ , if $\frac{\varepsilon_1+\varepsilon_2}{\left(R_1+R_2\right)} \neq \frac{\varepsilon_1-\varepsilon_9}{\left(R_1-R_2\right)}$
  • Dno current will flow through wire $1$
KVPY 2016, Diffcult
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