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il63 [147K]
2 years ago
11

In an RC series circuit, ε = 12.0 V, R = 1.25 MΩ, and C = 1.42 µF. (a) Calculate the time constant. (b) Find the maximum charge

that will appear on the capacitor during charging. (c) How long does it take for the charge to build up to 8.78 µC?
Physics
1 answer:
faust18 [17]2 years ago
8 0

Answer:

a, 1.775s

b, 17.04μC

c, 1.28s

Explanation:

Given

R = 1.25MΩ

C = 1.42µF

ε = 12.0 V

q = 8.78 µC

Time constant, τ = RC

τ = (1.25*10^6) * ( 1.42*10^-6)

τ = 1.775s

q• = εC

q• = 12 * 1.42*10^-6

q• = 17.04*10^-6C

q• = 17.04μC

Time t =

q = q• [1 - e^(t/τ)]

t = τIn[q•/(q•-q)]

t = 1.775In[17.04μC/(17.04μC-8.78μC)]

t = 1.775In(2.06)

t = 1.775*0.723

t = 1.28s

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