Final answer:
The question involves the calculation of currents in various paths within an electrical circuit, requiring the application of Kirchhoff's circuit laws. Without detailed circuit information, such as resistance values and voltage sources, it is not possible to calculate the specific currents in the paths described.
Step-by-step explanation:
The circuit-related question pertains to finding the currents in various paths when switches in a circuit are opened or closed. The analysis of circuits often involves using Kirchhoff's circuit laws - specifically the junction and loop rules. In particular, Kirchhoff's junction rule states that the total current entering a junction must equal the total current leaving the junction, while Kirchhoff's loop rule states that the sum of the voltage drops in a closed loop must equal the sum of the electromotive forces (emfs) in that loop. For instance, if a circuit has a steady-state condition, currents through the resistors would reach constant values which can be calculated using these rules.
To find the currents in paths from a to c, c to b, and d to b, one would need complete circuit details such as resistance values, the presence and specification of any power sources like batteries, and the initial conditions like the positions of the switches.
An example might be using Ohm's Law, which is V = IR, where V is voltage, I is current, and R is resistance. If the resistance and voltage (or potential differences) are known, the current through different circuit segments can be calculated accordingly. Unfortunately, without sufficient details, a calculation or even a detailed explanation cannot be provided for the specific current values in the described paths.