10: Equations

Question 1

Activity = (in terms of N)

Answer 1

A = λN
A (becquerels, Bq)
λ = Decay constant (s^-1)
N = No. of undecayed nuclei

Question 2

Activity = (in terms of initial activity)

Answer 2

A = A₀ e ^ ⁻λt

Question 3

Discharging capacitor: I =

Answer 3

I = I₀ * e⁻ᵗ/ᴿᶜ

Question 4

Discharging capacitor: V =

Answer 4

V = V₀* e⁻ᵗ/ᴿᶜ

Question 5

Charging capacitor: Q =

Answer 5

Q = Q₀* (1 - e⁻ᵗ/ᴿᶜ)

Question 6

Charging capacitor: V =

Answer 6

V = V₀* (1 - e⁻ᵗ/ᴿᶜ)

Question 7

Charging capacitor: I =

Answer 7

I = I₀ * e⁻ᵗ/ᴿᶜ