Comparision

Comparisons of Spring & Capacitor ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],The independent variable in the case of capacitors is V and in springs F. So: Q = CV x = 1/k F Factors that affect: C include the distance between the plates, the area of the plates and the dielectric material. k include theYoung’s modulus of the material from which it is made.

Cont. Energy Stored Although these appear to be very dissimilar phenomena, the expression for the energy stored is of the same general form in each case because the quantities concerned ( Q and C ; F and x ) are proportional to each other.

Questions ,[object Object],[object Object],[object Object],A capacitor stores charge. When a p.d. is applied across the plates of a capacitor, charge is transferred between the plates. The charge stored is proportional to the p.d applied. The electrical energy stored is related to the p.d. and the charge stored. A stretched spring stores elastic strain energy. When a force is applied to the spring it stretches. The extension is proportional to the force applied and energy stored in the stretched spring is related to the force and the extesion. If the p.d were constant, the energy stored would be Q V, but since V varies we must consider a small change in Q for which V can be considered constant, then the total energy stored is the sum of the small changes i.e. the area under the V/Q graph. E = ½ CV 2 If the force were constant, the energy stored would be Fx but since F varies we must consider a small change in x over which F can be considered constant, then the total energy stored is the sum of the small changes i.e. the area under the F/x graph. E = ½ Fx 2

Decay general decay equation X = X 0 e − kt radioactivity k = λ (decay constant) capacitor discharge k = 1 /RC (time constant) count rate X = R activity X = A number of nuclei X = N current X = I charge X = Q voltage X = V

Cont. ,[object Object],[object Object],For both graphs λ is known as the decay constant and it can be shown that λ is related to the half life by the equation: λ = ln2 = 0.693 ≈ 0.7

Cont ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Electric & Gravitational Fields ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Question 1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Question 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Comparision

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Comparision