Question

A series of circuit consisting of an uncharged 2.0-

Answer #1

For the charging current the formula is the standard

For charging the capacitor use

One *time constant* is where t=CR

Let
; then = **0.37
I _{o}**

At t = infinity, Q = Qmax, meaning that the capacitor is fully
charged.

Q_{max} =
Q_{0} = CV = 2*10^{-6} * 100

= 2* 10^{-4} C

**I _{o}**is the current throught the
circuit when t = 0

10-MW = 10 * 10^{6} = (100)^{2} / R

R = 1 * 10 ^{-3} ohm.

So I_{o} = V/R = 100/1 * 10 ^{-3}

= 100000 A

a) For one time constant ;

I = 0.37 I_{o}

= 37000 A

Q = Q_{0} (1- 0.37)

= 1.26 * 10^{-4}

B)

Q / Q_{max} = 0.90

Q = 0.90 Q_{max} = 0.90 * 2* 10^{-4}

= 1.8 * 10^{-4}

As ( 1 - e^{t/RC} ) = 0.90

t = 2.30 RC

Sun. the value of t in

I = I_{o} * 0.100

= 100000 * 0.100258

= 10025.88 A

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