Module 6: Particles and medical physics

6.1 Capacitors

6.1.1

Capacitors

(a) capacitance;

C = Q/V

the unit of the farad

 

Multiple Choice

Structured Questions

(b) charging and discharging of a capacitor or capacitor plates with reference to the flow of electrons.

(c) total capacitance of two or more capacitors in series;

1/C = 1/C1 + 1/C2 + ....

(d) total capacitance of two or more capacitors in parallel;

C = C1 + C2 + ...

(e) (i) analysis of circuits containing capacitors, including resistors

(e) (ii) techniques and procedures used to investigate capacitors in both series and parallel combinations using ammeters and voltmeters.

6.1.2

Energy

(a) p.d. – charge graph for a capacitor; energy stored is area under graph

   

(b) energy stored by capacitor;

W = ½QV

W = ½ (Q2/C)

W = ½ (V2/C)

   

(c) uses of capacitors as storage of energy.

   

6.1.3

Charging and discharging capacitors

(a) (i) charging and discharging capacitor through a resistor

   

(ii) techniques and procedures to investigate the charge and the discharge of a capacitor using both meters and data-loggers

  Investigating the charge and discharge of capacitors in the laboratory.

(b) time constant (tau) of a capacitor–resistor circuit;

τ = CR

   

(c) equations of the form

for capacitor–resistor circuits

  Learners will be expected to know how ln x–t graphs can be used to determine CR

(d) graphical methods and spreadsheet modelling of the equation

ΔQ/ΔT = - Q/CR

for a discharging capacitor

  Using spreadsheets to model the discharge of a capacitor.

(e) exponential decay graph;

constant-ratio property of such a graph.