**Question:**For a charging RC circuit, after about how many time constants is the current down to 25% of its maximum? **Explanation:**In an RC (resistor-capacitor) circuit, the time constant, denoted by the symbol τ (tau), is defined as τ = RC, where R is resistance and C is capacitance. The time constant signifies the time required for the current or voltage to rise to approximately 63.2% of its maximum value or to drop to approximately 36.8% for a discharging capacitor. In this context, we are asked when the current will decrease to 25% of its maximum value during the charging phase. The formula for the charging current (I) in an RC circuit as a function of time (t) is given by:\[ I(t) = I_0 (1 - e^{-t/τ}) \]Where:- \( I_0 \) is the initial current,- \( e \) is the base of the natural logarithm,- \( τ \) is the time constant.Setting \( I(t) = 0.25 I_0 \):\[ 0.25 I_0 = I_0 (1 - e^{-t/τ}) \]Solving this equation will determine the time at which the current is 25% of the maximum.

Given to find out for a charging RC circuit after how many time constants the current in the…

Answered: c. For a charging RC circuit, after…

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c. For a charging RC circuit, after about how many time constants is the current down to 25% of its maximum?