Final answer:
The question asks to find the current in various paths of a circuit with switches, but it lacks details to provide an answer. Normally, Kirchhoff's rules are used to calculate currents, but key information is missing.
Step-by-step explanation:
To find the current in various paths of a circuit when switches are closed or open, we can use Ohm's law and Kirchhoff's circuit laws. However, the question as provided is incomplete and lacks sufficient details to accurately determine the currents in paths from a to c, c to b, and d to b.
Generally, the Kirchhoff's junction rule (the sum of all currents entering a junction must equal the sum of all currents leaving that junction) and Kirchhoff's loop rule (the sum of the voltage gains and drops around a closed loop must be zero) would be applied to figure out the current in each branch. Without the values of resistances, voltages, or the specific circuit diagram, these calculations cannot be performed.