**Problem Statement:**A current passing through a resistor (\(R = 12 \, \Omega\)) decreases exponentially with time as \(I(t) = I_0 e^{-\alpha t}\) where \(I_0 = 5.5 \, \text{A}\) and \(\alpha = 0.35 \, \text{s}^{-1}\).**Task 1:**Calculate the energy dissipated by the resistor in joules during the first \(7\) seconds.\[ E = \]**Task 2:**Calculate the total energy dissipated by the resistor in joules as time goes to infinity.\[ E(t \to \infty) = \]

The expression for the power dissipated in a resistor can be expressed by the following relation.…

A current passing through a resistor (R = 12 Q) decreases exponentially with time as I(t) = Ige¯at where I, = 5.5 A and a = 0.35 s. Calculate the energy dissipated by the resistor in joules during the first 7 seconds. E= Calculate the total energy dissipated by the resistor in joules as time goes to infinity. E(t→∞) =

A current passing through a resistor (R = 12 Q) decreases exponentially with time as I(t) = Ige¯at where I, = 5.5 A and a = 0.35 s. Calculate the energy dissipated by the resistor in joules during the first 7 seconds. E= Calculate the total energy dissipated by the resistor in joules as time goes to infinity. E(t→∞) =