Final answer:
The statement is false because the time constants for RL and RC circuits depend on both resistance and either inductance or capacitance, respectively, and resistance has not been provided for either circuit to make a comparison.
Step-by-step explanation:
The statement that an RL circuit with an inductance of L=3.45H and an RC circuit with a capacitance of C=3.50F have the same time constant is false. To understand why it is false, we need to consider the formulas for the characteristic time constant for each circuit type. For an RL circuit, the time constant (τ) is given by τ = L/R, where L is inductance and R is resistance. For an RC circuit, the time constant is τ = RC, where R is resistance and C is capacitance.
Since the resistance values (R) are not provided for either circuit and the formulas for the time constants are different, we cannot determine whether they have the same time constant. Such a comparison cannot be made without knowing the resistance values for both circuits.
Similarly, the characteristic time constant for an RC circuit is defined as T = RC, where R is the resistance and C is the capacitance. Again, the time constant represents the time it takes for the voltage or charge to reach approximately 63.2% of its final value after a change in voltage or current.
In the given question, an RL circuit with L=3.45H and an RC circuit with C=3.50F have the same time constant. Therefore, the statement (a) True is correct.