A parallel-plate capacitor of plate area 6.7 cm2 and plate separation 4.7 cm has a dielectricconstant of 2.5. The capacitor is put in series with a 9.5 k2 resistor and a battery of EMF6 V, and allowed to fully charge.a) Determine the time constant of the circuit.b) Show that the SI base unit of the time constant of the circuit is seconds. Ensure youinclude any relevant equations and/or definitions in your working.(c) What is the initial current in the circuit, in mA, when charging begins?d) What is the final charge on the capacitor once it is fully energised?(e) The potential difference, V, across the capacitor, at a time t after charging begins isgiven ay V = VMAX[1 – e where VMAX is the final potential difference across thecapacitor once charging is complete and T is the time constant of the circuit. Show thatthe potential difference across the capacitor is equal to 50% of its maximum, 2.08 nsafter charging begins.

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