what must the units what must the units what must the units

Coustant RC time constant be? Show this explicitly, (Hint: , What this explicitly. (Hint: 0 - CV and V= IR.) CV and an RC series circ etime constant when (a) charging from zero voltage, and (b) discharging from a 3. When after one fully charged condition? 4. If the resistance in a capacitor circuit is increased, does the charging time of the capacitor increase or decrease? Explain.

Solution

2) time constant is T = R*C

R = V/I

units of R are volt /(C/s)

Capacitance is C = Q/V

units for C are C/volt

then

T = R*C = (volt /(C/s))*(C/volt) = s (seconds)

3) a) charging from zero voltage

v = V*(1-e^(-t/T))

t = T

v = V*(1-e^(-1))

v = 0.632*V = 63.2 % of initial volatge or battery emf

b) discharging

v = V*e^(-t/T)

t = T

v = V*e^(-1)

v = 0.367*V

36.7 5 of the battery emf

4) if R increases ,then from the formula

v = V*1(-1e^(-t/T))

R increases then time constant also increases then it takes more time ,so time increases