A capacitor in an RC circuit with R = 2 ohms and C = 4 uF is being charged. The time required for the capacitor voltage to reach 63.2 percent of its steady-state value is:a.8 sb.8 usc.2 sd.2 us
Question
A capacitor in an RC circuit with R = 2 ohms and C = 4 uF is being charged. The time required for the capacitor voltage to reach 63.2 percent of its steady-state value is:a.8 sb.8 usc.2 sd.2 us
Solution
The time required for the capacitor voltage to reach 63.2 percent of its steady-state value is known as the time constant (τ) of the RC circuit. The time constant is calculated by the formula τ = RC, where R is the resistance and C is the capacitance.
Given that R = 2 ohms and C = 4 uF (microfarads) = 4 x 10^-6 F (farads), we can substitute these values into the formula:
τ = RC τ = 2 ohms * 4 x 10^-6 F τ = 8 x 10^-6 seconds τ = 8 μs (microseconds)
So, the correct answer is b. 8 μs.
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