Ejercicos resueltos de circuitos rc

EJERCICOS RESUELTOS DE CIRCUITOS RC

[pic]

[pic]

[pic]

[pic]

I (t=10s) = 4, 06 [pic]A

I (t=10s) =4, 06 [pic]A

t=RC

t=??=RC

a)

q (t) =ℇ. C (1-[pic])

q (t=??) = (6v) (1, 5 * [pic]

q (t=??) =5.69 [pic]c

q (t=??) =5.69µc

b)

[pic]
[pic]

I (t=??) =[pic]

I (t=??) =1.1[pic]A

I (t=??) =1.1µA

c)

P=Iℇ

P= (1.1[pic]A)(6v)

P=6.6[pic]Watts

P=6.6µW

d)

P=I (IR) =[pic]

P=[pic]

P=2.4[pic]Watts

P=2.4 µW

e)

U=[pic] [pic]

[pic]U = [pic] ([pic] [pic]

U(t) = [pic]

I (t)

U (t)=[pic].I (t)

U (t=??)= [pic]* 1.1[pic]A

U (t=??)=4.17 [pic]Watts

U (t=??) =4.17µW

[pic]

[pic]

a)C=[pic] Q=C.V

Q= 6 [pic].100v

Q=600 [pic]

Q=600µc

b) V=I.R

I= [pic]

I=0.2A

c) ??=RC=(500Ω)(6 [pic]??=3000 [pic]

??=3 [pic]

??=3ms

d)

q (t)= Q [pic]

q (t=6 [pic] 600 [pic])[pic]

q (t=6 [pic]

q (t=6 [pic]

e) U=[pic]

U=[pic] (6 [pic]) ([pic]

U=3 [pic]

U=30 [pic]

U=30 mJ

f) U=[pic]

U (t)=[pic]

V (t)=RI (t)

V (t)=R. ( [pic]

V (t)=V.[pic]U (t)= [pic] C [V.[pic] [pic]

U (t)= [pic] C [pic] [pic]

U (t)= [pic]. [pic]

[pic]

a)

q (t) =ℇ. C (1- [pic] )

q (t=0) =5v. 1.6*[pic]*1q (t=0)=8*[pic]

q (t=0)=8μc

b)

q (99%)= [pic]=7.92*1[pic] 7.92μc

q ([pic] = ℇ. C. (1-[pic]

7.92*1[pic] = 8*[pic] (1-[pic][pic]= (1 - [pic]

0.99= (1 - [pic]

[pic]

[pic]

[pic]

t=Ln 0.01.[pic]

t=73, 68 *[pic]...