In the time constant of RC circuit, how much charge is stored, out of maximum charge q?
Correct answer: A. 0.63qo
- A. 0.63qo
- B. 0.51qo
- C. 0.37qo
- D. 0.9qo
Explanation
In an RC circuit, the time constant (τ) is defined as the time it takes for the charge to reach approximately 63.2% of its maximum value. This is due to the nature of the exponential charging and discharging behavior of RC circuits.Mathematically, this is represented as: q(t)=Q(1−e−t/RC)where:q(t) is the charge at time t,Q is the maximum charge,R is the resistance,C is the capacitance,e is the base of the natural logarithm (approximately equal to 2.71828).At t = RC (one time constant), the equation simplifies to:q(RC)=Q(1−e−1) ≈0.632QSo, at one time constant, approximately 63.2% of the maximum charge Q is stored in the capacitor.
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About Capacitors
Capacitors store electric charge and energy in an electric field between conductors. Work includes capacitance, the relation Q = CV, dielectric materials, charging and discharging, energy formulas, and combinations of capacitors in series and parallel. Electric potential difference is needed to understand why charge and stored energy change.
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