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c circuit takes t = 1.69 s to charge to 65% when a voltage of δv = 4.5 v is applied. randomized variables t = 1.69 s δv = 4.5 v p = 65%

Answer :

Final answer:

To find the charging time of a circuit, we can use the RC time constant. By substituting the given values into the formula, we can calculate the time it takes for the circuit to charge.

Explanation:

In this question, we are given the variables t = 1.69 s, Δv = 4.5 V, and p = 65%. These variables represent the time, change in voltage, and percentage of charge, respectively. We are asked about a circuit's charging time to reach 65% charge when a specific voltage is applied. To find the answer, we can use the concept of RC time constant in electronics.

The RC time constant (τ) is the product of resistance (R) and capacitance (C) in a circuit. It is represented by the formula τ = RC. In this case, we have δv, which can be thought of as the change in voltage (∆V), and t, which represents the time taken to charge. The RC time constant can be calculated as τ = t / ln(1/(1-p)).

Using the given values, we can substitute δv = ∆V = 4.5 V and p = 65% in the formula to find the RC time constant. After finding τ, you can substitute it back into the original equation to solve for the unknown variable, which in this case is t. The calculated value of t will represent the time it takes for the circuit to charge to 65% when a voltage of δv = 4.5 V is applied.

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