A student sketches the voltage across a capacitor as it charges in an circuit

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A student sketches the voltage across a capacitor as it charges in an RCRC circuit. The sketch begins at 12 V12\,\text{V} at t=0t=0 and decreases asymptotically toward 0 V0\,\text{V} as time increases. Which feature of the student’s sketch reveals a conceptual error about the charging process? (a) The curve is asymptotic rather than linear, suggesting the voltage should rise at a constant rate. (b) The curve approaches 0 V0\,\text{V} instead of rising toward the 12 V12\,\text{V} battery voltage. (c) The curve has its steepest slope right after t=0t=0, which would not occur if the capacitor were charging properly. (d) The curve never actually attains its final value in a finite time; a correctly drawn charging curve would reach the battery voltage after one time constant.

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