resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 160 Ω and the inductor has an inductance of L = 65 mH. Part (a) At time t = 0 the switch is closed and current flows through the circuit. The current increases with time and eventually reaches a steady state value of imax. Calculate the maximum current imax in units of milliamps. Part (b) Calculate the time constant, τ, of the circuit, in seconds. Part (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imax. Express the equation in terms of imax and α, where α = -t/τ. Part (d) Determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax. Part (e) Determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.
11: A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 160 Ω and the inductor has an inductance of L = 65 mH.
Part (a) At time t = 0 the switch is closed and current flows through the circuit. The current increases with time and eventually reaches a steady state value of imax. Calculate the maximum current imax in units of milliamps.
Part (b) Calculate the time constant, τ, of the circuit, in seconds.
Part (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imax. Express the equation in terms of imax and α, where α = -t/τ.
Part (d) Determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax.
Part (e) Determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.
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