Q1. Capacitor questions - A2 Physics The graph shows how the charge of a capacitor varies with the p.d. across it. Use the graph to find a) the energy stored by the capacitor when charged to a potential difference of 8 V (2 Marks) b) the capacitance of the capacitor (2 Marks) Q2. The diagram below shows a circuit diagram of a capacitor discharging through a resistor. A simple mathematical model of the discharge of the capacitor is shown in the block diagram below. It is assumed that the current I is constant over each small time interval Δt. The process is repeated as shown. LOJ - 2011 1 Capacitor questions - A2 Physics Copy and complete the table for the discharge of the 4700μF capacitor. The small time interval used is Δt = 2.0 s. (3 Marks) Q3. In the circuit below the capacitor is charged to a potential difference of 6.0 V. When the switch is moved from A to B , the capacitor discharges through the resistor. a) Show that the initial value of the discharge current is about 1 mA. (2 Marks) b) The time constant RC of the discharge circuit is about 26 s. Calculate the current in the discharge circuit after the switch has been closed for a time equal to RC. (2 Marks) (4 marks) Q4. What is the energy stored by a 33 000 mF capacitor charged to 10.0 V? (2 marks) Q5. What is the charge held by a 500 mF capacitor charged to a p.d. of 3.5 V? (2 marks) Q6. A capacitor is connected to a 9V power supply by a reed switch operating at 300 Hz. The ammeter reads 37 mA. What is the capacitance of the capacitor? (2 marks) Q7. 5000 mF capacitor is charged to 9.0 V and discharged through a 2700 resistor. (a) What is the time constant? (1 mark) (b) What is the voltage after 3 s? (2 marks) (c) What is the half-life of the decay? (2 marks) (d) How long would it take the capacitor to discharge to 2.0 V (3 marks) LOJ - 2011 (8 marks) 2