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In a series DC RC network, the input DC voltage is 30 V . At

`t=0`

, a switch is closed so that a resistance of 100 Kohms is now in series with 1 microfarad capacitor. (a) Determine the time at which the voltage across the capacitor rises to

`40%`

of its steady state value. (b) Compute the charging current in this series RC circuit at

`t=250`

millisecond. (c) What is the energy stored in the capacitor when it has reached its steady state? (d) Draw a fully labeled graph which shows the variation of the capacitor voltage from

`t=0`

to its steady state. You must show the computed voltage values at one time constant, two time constant, and so on until the capacitor voltage reaches its steady state value.