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6. Circuit diagram is shown below, Initially, when t = 0, the capacitor voltage is 10 Volts, the entire circuit starts discharging. Determine the discharging current flow expression. Please complete the unfinished calculations below (fill the empty block). Vc = 10 Volts Step 1 (KVL): VL + VR + VC = 0 -----> KVL Step 2 (Replace voltage with current): $i_L(t)R + \frac{1}{C}\int_0^t i(\tau)d\tau + v_c(0) = 0$ Step 3 (Apply Laplace Transform): Step 4 (Organize the eqn.): Step 5 (Find s-domain solution): $I(s) = $ = 0 Step 6 (Inverse Laplace transform back to time-domain): i(t) =

          6. Circuit diagram is shown below, Initially, when t = 0, the capacitor voltage is 10 Volts, the entire circuit starts discharging. Determine the discharging current flow expression.
Please complete the unfinished calculations below (fill the empty block).
Vc = 10 Volts
Step 1 (KVL):
VL + VR + VC = 0 -----> KVL
Step 2 (Replace voltage with current):
$i_L(t)R + \frac{1}{C}\int_0^t i(\tau)d\tau + v_c(0) = 0$
Step 3 (Apply Laplace Transform):
Step 4 (Organize the eqn.):
Step 5 (Find s-domain solution):
$I(s) = $
= 0
Step 6 (Inverse Laplace transform back to time-domain):
i(t) =

6. Circuit diagram is shown below, Initially, when t = 0, the capacitor voltage is 10 Volts, the entire circuit starts discharging. Determine the discharging current flow expression.
Please complete the unfinished calculations below (fill the empty block).
Vc = 10 Volts
Step 1 (KVL):
VL + VR + VC = 0 —–> KVL
Step 2 (Replace voltage with current):
iL(t)R + (1)/(C)∫0^t i(τ)dτ + vc(0) = 0
Step 3 (Apply Laplace Transform):
Step 4 (Organize the eqn.):
Step 5 (Find s-domain solution):
I(s) =
= 0
Step 6 (Inverse Laplace transform back to time-domain):
i(t) =

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