In the circuit below, the switch was at position 0 for a very long time. The current through the inductor was lo. R 1 1 I,(1) I,(1) R Case 1 Case 2 00000 2. wwwwo
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(a) In Case 1 the switch was then turned to position 1, and in Case 2 the switch was turned to position 2. After the switch was turned, which one has a greater time constant?
(b)Immediately after the switch is turned, which one has a greater voltage across the inductor?
(c) After the switch has been turned for a finite amount of time t, which one has a greater current through the inductor?
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- A 24-V battery is connected in series with a resistor and an inductor, with R = 2.6 N and L = 7.6 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.Inductors 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 H. The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries a resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. The loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the following questions at the instant of time t" when the left edge of the loop is at position "x" as shown below Use the coordinate system , x to the right, y into the board, z upward a) Write an expression for the magnetic field as a function of the distance "x" (from the LONG conductor to the loop. ) USE “+" for CCW circulation and “.“ for CW circulation. b) Write the magnetic field in "i-j-k" format at point "x" to the right of the current carrying wire in the "i-zZ" plane R a c) Write the infinitesimal area vector for the loop in "i-j-k" format d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and…
- A 140-mH inductor and a 5.50-0 resistor are connected with a switch to a 6.00-V battery as shown in the figure below. (a) After the switch is first thrown to a (connecting the battery), what time interval elapses before the current reaches 220 mA? ms (b) What is the current in the inductor 10.0 s after the switch is closed? A (c) Now the switch is quickly thrown from a to b. What time interval elapses before the current in the inductor falls to 160 mA? msIn the RL circuit shown below, it takes 1.5 seconds after the switch is closed for the current to reach half of its steady-state value. If the inductor was replaced with an inductor with twice the inductance and the experiment was run again from the beginning, how long would it take for the current to reach half of its steady-state value?Time t < 0, the circuit is in DC Steady State. The switch is opened instantly at time t=0. This question deals with the new initial conditions for t>0. When t<0, I₂ = 7 A, and I₃ = 9 A. Give I₂ at t=0+ (at t=0, but after the switch is opened).
- A 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.An inductor consists of 100 turns of wire tightly wound about an insulating core. It is attached to a power supply and when the current through it is increased from 0 to 5 A in 3, s an induced emf of 5 V is measured. Find the inductance of this device and the magnetic flux and the energy stored in the magnetic field when the current is held steady at 5 A.After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at t = 0. In the circuit, & = 24.0 V, RA= 3.70 KM, Rß = 7.50 kỵ, and L = 665 mH. RA ww S mo L +1 b ww RB (a) What is the emf across the inductor immediately after the switch is opened? V (b) When does the current in the resistor RÅ have a magnitude of 1.00 mA? S
- For the circuit in the figure, assume that 8 = 12.0 V, R = 6.30 Q, and L= 6.20 H. The ideal battery is connected at time t = 0. (a) How much energy is delivered by the battery in the first 6.00 s? (b) How much of this energy is stored in the magnetic field of the inductor? (c) How much of this energy is dissipated in the resistor? ww R lellA 24.0-V battery is connected in series with a resistor and an inductor, with R = 9.20N and L = 9.20 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 at an instant that is a time interval of one time constant after the switch is closed.