Question

Помогите решить 1 задачу

Answer 1

1)
U=Uo-Uo*t/T=Uo(1-t/T)
I=U/R=Uo/R*(1-t/T)
Q=integral [0;T] U*I*dt = Uo^2/R* integral [0;T] (1-t/T)^2*dt =
=Uo^2/R* integral [0;T] (1-t/T)^2*d(1-t/T)*(-T)=
=(-T) Uo^2/R* 1/3*(1-t/T)^3* [0;T]= Uo^2*T/(3*R) = 10^2*10/(3*12) Дж = 27,(7) Дж

3)
W=L*I^2/2
I=корень(2* W/L) = корень(2* 10^(-4)/(0,1*10^(-3))) = 1,414214 А