In an rc series circuit, ℰ = 17.0 v, r = 1.60 m, and c = 1.80 µf.
(a) calculate the time constant. 2.88 s
(b) find the maximum charge that will appear on the capacitor during charging. 30.6 µc
(c) how long does it take for the charge to build up to 12.0 µc? 1.434 s

(a) τ=2.88 s, (b) q₀= 30.6μC and (c) t=1.434s            

Explanation:

A RC circuit is an resistor(R)-capacitor(C) electric circuit.    

(a) In a resistor-capacitor circuit, the time constant (τ) can be calculated by:    

where R: is the resistence and C: the capacitance of the capacitor

(b) The maximum charge (q₀) is giving by:    

where ε: is the voltage across the capacitor

(c) The time (t) that take the charge (q) to build up to 12 μC can be calculated from the next equation:  

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