College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A 27.0 mH inductor, an 6.00 Ω resistor, and a 6.00 V battery are connected in series. The switch is closed at t = 0. Find the voltage drop across the inductor (b) after one time constant has passed. Also, find the voltage drop across the resistor (d) after one time constant has elapsed. (e) Find the time constant of this circuit.arrow_forwardA 24-V battery is connected in series with a resistor and an inductor, with R = 7.4 and L = 6.2 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. (b) Find the energy stored in the inductor one time constant after the switch is closed. Jarrow_forwardInductors in series. Two inductors L1 = 1.13 H and L2 = 2.01 H are connected in series and are separated by a large distance so that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series.Which is similar here?) (b) What is the generalization of (a) for N = 13 similar inductors L = 3.02 H in series? (a) Number i 0.72334 Units H (b) Number i 0.2323 Units Harrow_forward
- An electromagnet can be modeled as an inductor in series with a resistor. Consider a large electromagnet of inductance L = 12.5 H and resistance R = 7.50 connected to a 18.0-V battery and switch as in the figure shown below. After the switch is closed, find the following. S E + 'I R (a) the maximum current carried by the electromagnet A (b) the time constant of the circuit S (c) the time it takes the current to reach 95.0% of its maximum value Sarrow_forwardA 12.0-V battery is connected into a series circuit containing a 20.0-2 resistor and a 1.70-H inductor. (a) In what time interval will the current reach 50.0% of its final value? S (b) In what time interval will the current reach 90.0% of its final value? Sarrow_forwardA series circuit consists of a resistor with R = 20 02, an inductor with L = 1 H, a capacitor with C = 0.01 F, and a 18-volt battery. If the initial charge and current are initially both 0, find the charge and current at time t. charge current Q(t) = I(t)= 18te 10t Xarrow_forward
- A loop of wire has a self-inductance of 5.5 mH. You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?arrow_forwardAn 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 valuearrow_forwardA 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. Jarrow_forward
- A 12.0 V battery is connected into a series circuit containing a 20.0 resistor and a 1.50 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? S (b) In what time interval (in s) will the current reach 90.0% of its final value? S What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected directly across the resistor. R Są ob ก ε ele (c) In what time interval (in s) will the current decrease to 50.0% of its initial value? S (d) In what time interval (in s) will the current decrease to 10.0% of its initial value? Sarrow_forwardA 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)?arrow_forwardConsider a 22.5 mH inductor that has a resistance of 4.1 Ω. Part (a) What is the time constant, τ, of the inductor, in seconds? Part (b) If the inductor is connected to a 12.0 V battery, what is the current, I, in amperes, after 10.5 ms?arrow_forward
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