Questions: Oscillating frequency relation with R and C of the given circuit. Set the representative time constant of the circuit. Given that Rs = 470 kΩ, the lower resistance value of the first capacitor can be taken as mind of the test class. Separate your answer with commas.

Solution Steps

The problem involves determining the oscillating frequency relation with resistance \( R \) and capacitance \( C \) in a given circuit. Additionally, we need to set the representative time constant of the circuit. The problem provides a list of numbers and specifies that \( R_s = 470 \, \text{k}\Omega \). We are also asked to identify the lower resistance value of the first capacitor, which is described as the "mind of the test class."

The list of numbers provided is: 7.30, 13.24, 8,240, 21.8, 330, 738, 121.8, 6, 5.28, 0.21, 30, 1.61, 0.15. We need to determine which of these values is relevant for the resistance and capacitance in the circuit.

The time constant \( \tau \) of an RC circuit is given by: \[ \tau = R \times C \] where \( R \) is the resistance and \( C \) is the capacitance. The problem does not provide explicit values for \( R \) and \( C \), so we need to infer these from the given list.

The problem asks for the "lower resistance value of the first capacitor," which is described as the "mind of the test class." This is likely a reference to the smallest value in the list, which could represent a resistance value.

Final Answer