, Damped oscillations, and Faraday: An RLC series cirenit is powered br a sinusoidal voltage source V,(t) = |Vo]cos wt. ) Assume a direction for the current and show it on your figure. Consider the...

= ĮRe.A;B,, and Vcp ŻL = iwL and ZR = R). Re.A,B; = -i. Also %3D Re.Vc with Vc = İZc and Zc = %3D %3D R \vol coswt "/>
Extracted text: , Damped oscillations, and Faraday: An RLC series cirenit is powered br a sinusoidal voltage source V,(t) = |Vo]cos wt. ) Assume a direction for the current and show it on your figure. Consider the clased loop line integral of the electric ficld along the current direction assumed, and obtain the equation for charge q on the capacitor. ) For times much later than the damping time (t >> Tu = (R/L)-'), com- pute the correlation function < vc»(t)="" vcp(t="" +="" a)=""> where Vc,(t) is the voltage across the capacitor. (Hint: If A, = Re.A.c"t and Bp = Rc.B,e*, then < a,b,="">= ĮRe.A;B,, and Vcp ŻL = iwL and ZR = R). Re.A,B; = -i. Also %3D Re.Vc with Vc = İZc and Zc = %3D %3D R \vol coswt