Question

Exercitiul 14 va rog

Answer 1

Es=nE=4R

Ep=E

rp=r/n=r/4

rs=nr=4r

Is=Es/(R+rs)=4E/(R+4r)

Ip=Ep/(R+rp)=E/(R+r/4)

Ps=Pp=P=160 W

Ps=RIs²=16E²R/(R+4r)²

Ps=160=>16E²R/(R+4r)²=160<=>E²R=10(R²+16r²+8Rr)<=>E²R=10R²+160r²+80Rr (1)

Pp=RIp²=E²R/(R+r/4)²

Pp=160=>E²R/(R+r/4)²=160<=>E²R=160(R²+r²/16+Rr/2)<=>E²R=160R²+10r²+80Rr (2)

(1)-(2)=>0=-150R²+150r²=>R=r

E²R=10R²+160R²+80R²=250R²=>E²=250R

I=E/(R+r)=E/2R

P₁=RI²=R*E²/4R²=250R/4R=62,5 W