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37 Cards in this Set
- Front
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Capacitance definition
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charge stored per unit potential difference
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Capacitance graphs: Q against V
(gradient and area) |
Gradient is capacitance : C=Q/V
Area under is energy stored by capacitor |
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Capacitance Graphs: V against Q
(gradient and area) |
Gradient is 1/capacitance
Area under is energy stored by capacitor |
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Derivation of E=½QV
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(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) |
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Graph description of Energy stored against voltage
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Energy = ½CV^2
Exponential curve upwards Energy Proportional to V^2 Straight diagonal upwards, through origin |
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Time Constant Definition
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Time taken for the voltage (or charge or current) to fall to 1/e of its original value
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Finding time constant from a graph of Potential Difference (V) against time (t) [STEP 1]
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[STEP 1] Calculate 1/e of initial Voltage, V
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Finding time constant from a graph of Potential Difference (V) against time (t) [STEP 2]
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[STEP 2] Locate value on graph, time taken is Time constant
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Re-arrange V=Vo e^-t/RC
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[1] Divide both by Vo | V/Vo = e^-t/RC
[2] Log (ln) both sides | ln(V/Vo) = -t/RC |
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Finding time constant from a graph of ln (v) against time. [Given that ln(V/Vo) = -t/RC]
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[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)} |
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Finding time constant from a graph of ln (v) against time. [In form y=mx+c || ln(V) = {-1/RC}{t}+{ln(Vo)} ]
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Gradient is -t/RC & Intercept is ln(Vo)
Time Constant (RC) = 1/Gradient |
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Newton’s 1st Law
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An object remains at rest or in uniform motion unless acted on by a force
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Newton’s 2nd Law
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The rate of change of momentum of an object is proportional to the resultant force on it
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Newton’s 3rd Law
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When two objects interact they exert equal and opposite forces on each other
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Force (in terms of momentum change)
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Force = rate of change of momentum. VECTOR
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Units of momentum
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kgms^-1
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Units of rate of change of momentum
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kgms^-2
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Impulse, I
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Force x time for which the force acts (Ft)
Hence Impulse = change of momentum. VECTOR |
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Units of Impulse, I
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Ns or kgms-1
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Graphical representations of charging a capacitor against time
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Graphical representations of discharging a capacitor against time
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Area under a graph of force against time
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change in momentum (p) or Impulse I
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Principle of conservation of linear momentum definition
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In a collision (or explosion) the total momentum before equals the total momentum after, providing no external forces are acting.
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Elastic collision definition
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A collision where kinetic energy is conserved
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Inelastic collision definition
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A collision where kinetic energy is not conserved
Note: TOTAL Energy is still conserved. |
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Angular speed, 'w'
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angle turned through per second (SCALAR)
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Units of Angular speed 'w'
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rad s^-1
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Angular speed of earth
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Centripetal Force
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RESULTANT force acting towards the centre of the circular path.
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Conditions for SHM (simple harmonic motion)
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1. Acceleration is proportional to displacement
2. Acceleration is in the opposite direction to displacement OR acceleration always acts towards the equilibrium position. |
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1. acceleration is always proportional to displacement (a proportional to x) and hence a = kx, where k is a constant (2[pi]f)^2
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Graph of acceleration against displacement
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Graph of displacement against time
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Gradient of a displacement against time graph is VELOCITY
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Graphical representations linking x (displacement), v (velocity), a (acceleration) and t (time)
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Conditions for the time period equation of a pendulum
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Time period equation for a pendulum id only true for oscillations with a SMALL amplitude, which includes angular displacements less than 10 degrees.
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Dependence of time period on amplitude of an oscillation
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The time period of an oscillation in SHM is INDEPENDANT of the amplitude.
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Variation of Potential energy and Kinetic energy with displacement
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