CAIE A-Level Physics A2 19.3.3 Equations of the Form X X0 E T Rc Where X Could Represent Current Topic Practice

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Question 1

[Maximum number: 2]

A capacitor, a battery of electromotive force (e.m.f.) 12 V , a resistor R and a two-way switch are connected in the circuit shown in Fig. 5.1.

Fig. 5.1

Fig. 5.1

The switch is initially in position S . When the capacitor is fully charged, the switch is moved to position T so that the capacitor discharges. At time t after the switch is moved the charge on the capacitor is Q.

The variation with t of ln⁡(Q/μC)\ln (Q / \mu C) is shown in Fig. 5.2.

Fig. 5.2

Fig. 5.2

A second identical resistor is now connected in parallel with R.

The switch is initially in position S . When the capacitor is fully charged, the switch is moved to position T so that the capacitor discharges. At time t after the switch is moved the charge on the capacitor is Q.

On Fig. 5.2, sketch a line to show the variation of ln⁡(Q/μC)\ln (Q / \mu \mathrm{C}) with t between time t=0 and time t=5.0 st=5.0 \mathrm{~s}.

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