Physics · University
RC discharge voltage · formula reference
Ideal RC discharge with no driving source. Convert kilohms and microfarads consistently.
Formula
Ideal RC discharge with no driving source. Convert kilohms and microfarads consistently.
V(t) = V₀ exp[−t/(RC)]
Worked example
An ideal capacitor initially at 14 V discharges through 48 kΩ. C=170 μF. Find the capacitor voltage at t=1.8 s. Round the final result to 4 decimal places if needed. Answer in V.
RC = (48×1000)(170×10⁻⁶) = 8.16 s; substitute into V₀ exp(−t/RC).
11.2287 V
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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