1. Show graphically the variation of charge q with timet when a condenser is charged.

 The expression showing relation between charge q on the capacitor and time t is given by :
q = q0 ( 1 - e-t/RC)     = q0 ( 1 - e-t/τ)          ........(1)where, τ = RC = time constant of RC circuit and q0 is the charge on fully charged condenser
This eq. governs the charging of capacitor through resistance R.
From eq. 1, we find that at q = q0,  e-t/τ = 0 or t = , i.e., charge on the capacitor will attain its maximum value only after infinite time.
The charging of capacitor with time t is shown is the graph given below :


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