Every resistor depicted in the figure possesses a resistance of 10 , and each battery provides an emf of 10 V . Determine the currents passing through resistors a and b in both circuits.

Step-by-step solution

Let us analyze both circuits one by one. For Circuit (a): Resistor a is connected directly in parallel with the left battery. Since the battery has an emf of 10 V , the potential difference across resistor a is 10 V . The current through resistor a is: I_a = V R = 10 V 10 = 1 A Resistor b is connected across the series combination of the two batteries. Observing the battery symbols, the left battery has its positive terminal on the left and negative on the right, while the right battery has its negative terminal on