Question

Exista o bobina cu rezistenta R=10 si impedanta Z=30. Cu cat va fii egala impedanta daca frecventa tensiunii alternative se dubleaza?

Answer 1

Z=√(R²+XL²) |()²=>Z²=R²+XL²=>XL²=Z²-R²=30²-10²=900-100=800=>XL=√800=28,28 Ω

XL=ωL=2πυL=28,28 Ω

υ₁=2υ=>ω₁=2ω

XL₁=2πυ₁L=ω₁L=2ωL=2*28,28=56,56 Ω

Z₁=√(R²+XL₁²)=√(R²+2XL²)=√(100+3200)=√3300=57,44 Ω