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37 Cards in this Set

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Capacitance definition
charge stored per unit potential difference
Capacitance graphs: Q against V
(gradient and area)
Gradient is capacitance : C=Q/V

Area under is energy stored by capacitor
Capacitance Graphs: V against Q
(gradient and area)
Gradient is 1/capacitance

Area under is energy stored by capacitor
Derivation of E=½QV
(change in W) = V x (change in Q) explained (1)
energy stored = total work done in charging = charge x average voltage (1)
energy stored = work done (= ½QV) (1)
Graph description of Energy stored against voltage
Energy = ½CV^2
Exponential curve upwards

Energy Proportional to V^2
Straight diagonal upwards, through origin
Time Constant Definition
Time taken for the voltage (or charge or current) to fall to 1/e of its original value
Finding time constant from a graph of Potential Difference (V) against time (t) [STEP 1]
[STEP 1] Calculate 1/e of initial Voltage, V
Finding time constant from a graph of Potential Difference (V) against time (t) [STEP 2]
[STEP 2] Locate value on graph, time taken is Time constant
Re-arrange V=Vo e^-t/RC
[1] Divide both by Vo | V/Vo = e^-t/RC
[2] Log (ln) both sides | ln(V/Vo) = -t/RC
Finding time constant from a graph of ln (v) against time. [Given that ln(V/Vo) = -t/RC]
[3] Break up the log | ln(V) - ln(Vo) = -t/RC
[4] Into form like y=mx+c | ln(V) = {-1/RC}{t}+{ln(Vo)}
Finding time constant from a graph of ln (v) against time. [In form y=mx+c || ln(V) = {-1/RC}{t}+{ln(Vo)} ]
Gradient is -t/RC & Intercept is ln(Vo)
Time Constant (RC) = 1/Gradient
Newton’s 1st Law
An object remains at rest or in uniform motion unless acted on by a force
Newton’s 2nd Law
The rate of change of momentum of an object is proportional to the resultant force on it
Newton’s 3rd Law
When two objects interact they exert equal and opposite forces on each other
Force (in terms of momentum change)
Force = rate of change of momentum. VECTOR
Units of momentum
kgms^-1
Units of rate of change of momentum
kgms^-2
Impulse, I
Force x time for which the force acts (Ft)
Hence Impulse = change of momentum. VECTOR
Units of Impulse, I
Ns or kgms-1
Graphical representations of charging a capacitor against time
Graphical representations of discharging a capacitor against time
Area under a graph of force against time
change in momentum (p) or Impulse I
Principle of conservation of linear momentum definition
In a collision (or explosion) the total momentum before equals the total momentum after, providing no external forces are acting.
Elastic collision definition
A collision where kinetic energy is conserved
Inelastic collision definition
A collision where kinetic energy is not conserved
Note: TOTAL Energy is still conserved.
Angular speed, 'w'
angle turned through per second (SCALAR)
Units of Angular speed 'w'
rad s^-1
Angular speed of earth
Centripetal Force
RESULTANT force acting towards the centre of the circular path.
Conditions for SHM (simple harmonic motion)
1. Acceleration is proportional to displacement
2. Acceleration is in the opposite direction to displacement OR acceleration always acts towards the equilibrium position.
1. acceleration is always proportional to displacement (a proportional to x) and hence a = kx, where k is a constant (2[pi]f)^2
Graph of acceleration against displacement
Graph of displacement against time
Gradient of a displacement against time graph is VELOCITY
Graphical representations linking x (displacement), v (velocity), a (acceleration) and t (time)
Conditions for the time period equation of a pendulum
Time period equation for a pendulum id only true for oscillations with a SMALL amplitude, which includes angular displacements less than 10 degrees.
Dependence of time period on amplitude of an oscillation
The time period of an oscillation in SHM is INDEPENDANT of the amplitude.
Variation of Potential energy and Kinetic energy with displacement