A 24.0-V battery is connected in series with a resistor and an inductor, with R= 8.00 n and L= 4.00 H, respectively. Find the energy stored in the inductor (a) when the current reaches its maximum value and (b) at an instant that is a time interval of one time constant after the switch is closed.
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- A series circuit contains a 3.60-H inductor, a 4.10-Q resistor, and a 4.50-V battery. The current is initially zero when the circuit is connected at t = 0. At what time will the current reach the following? (a) 33.3% of its final value S (b) 95.0% of its final value SA 24.0-V battery is connected in series with a resistor and an inductor, with R = 8.20 Ω and L = 2.00 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value in J. (b) Find the energy stored in the inductor at an instant that is a time interval of one time constant after the switch is closed in J.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 = 220 Ω and the inductor has an inductance of L = 135 mH. (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. (b) Calculate the time constant, τ, of the circuit, in seconds. (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.
- An electromagnet can be modeled as an inductor in series with a resistor. Consider a large electromagnet of inductance L = 14.5 H and resistance R = 8.00 n connected to a 18.0-V battery and switch as in the figure shown below. After the switch is closed, find the following. R (a) the maximum current carried by the electromagnet (b) the time constant of the circuit (c) the time it takes the current to reach 95.0% of its maximum valueA 24-V battery is connected in series with a resistor and an inductor, with R = 6.8 Ω and L = 5.4 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. J(b) Find the energy stored in the inductor one time constant after the switch is closed. JA 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 = 380 Ω and the inductor has an inductance of L = 115 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) Determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax. Part (d) Determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.
- A 24.0-V battery is connected in series with a resistor and an inductor, with R= 8.00 Ω and L = 4.00 H, respectively. Find the energy stored in the inductor (a) when the current reaches its maximum value and (b) at an instant that is atime interval of one time constant after the switch is closed.A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?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 = 220 N and the inductor has an inductance of L= 135 mH. (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 imox in units of milliamps. (b) Calculate the time constant, T, of the circuit, in seconds. (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imox Express the equation in terms of imox and a, where a= -t/T.