The switch in the circuit below has been in the position A for a long time and is moved to position B at t=0. The circuit parameters are R1=1 kQ, R2=4 kQ, L=200 mH and C=27NF. (a) Find ve(t) for t>0. Is the circuit overdamped, critically damped or underdamped R, A C switch R, t=0V В + v,(t) - 5V( ele
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- Consider the solenoid circuit below (left). The long solenoid has N tums, has length L, and its wire has resistance R. The solenoid is driven by a voltage source V(t). (a) If V(t) = V, = constant, find the B-field inside the solenoid. (b) If V(t) = V,sinwt, find the B-field inside the solenoid. (c) Consider the inner loop at the center of the solenoid. It is mounted on an axis (dashed blue line) on which it can rotate at angular rate w. An edge view and end view of the inner loop are shown in the diagram. (1) For the case of V(t) = V, and w = 0, find the induced voltage on the inner loop (loop normal is along solenoid axis). (ii) For the case of V(t) = V,sinwt and w = 0, find the induced voltage on the inner loop (loop normal is along solenoid axis). (iii) For the case of V(t) = V, and w = wo, find the induced voltage on the inner loop. (iv) For the case of V(t) = V, sinwt and w = wo, find the induced voltage on the inner loop. solenoid rotàting inner loop rotation åxis solenoid N…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 SConsider the circuit shown in the figure below. Take E = 6.00 V, L = 8.56 mH, and R = 4.24 N. R (a) What is the inductive time constant of the circuit? ms (b) Calculate the current in the circuit 250 µs after the switch is closed. A (c) What is the value of the final steady-state current? (d) How long does it take the current to reach 81.0% of its maximum value? ms
- 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).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.In the circuit shown in the figure, let L = 7.40 H, R = 5.90 ohms and E = 120 V. What is the self induced emf 0.200 s after the switch is closed?
- The current in an RL circuit builds up to one-third of its steady-state value in 4.34 s. Find the inductive time constant.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? SConsider the circuit shown in the figure below. Take E = 6.00 V, L = 7.92 mH, and R = 3.60 Ω. S + I R ww (a) What is the inductive time constant of the circuit? ms (b) Calculate the current in the circuit 250 us after the switch is closed. A (c) What is the value of the final steady-state current? A (d) How long does it take the current to reach 81.0% of its maximum value? ms
- The values of the components in the circuit are L = 207 mH, R, = 430 N, R, = 380 N, and E = 10.0 V. Use downward as the positive direction for all currents. Find... R S R2 (a) immediately after the switch is closed (after being open a long time)... ..the current through the inductor ..the current through R, I2 = mA (b) a long time after the switch has been closed... ...the current through the inductor mA ..the current through R, I2 = mA (c) immediately after the switch is open (after being closed a long time)... ...the current through the inductor mA ..the current through R, I2 = mA (d) a time 5.992e-04 s after the switch is open.... ..the current through the inductor IL = ..the current through R, I2 =Consider the circuit in the figure below, taking & = S + R ww ele 6.00 V, L = 7.20 mH, and R = 7.20 0. (a) What is the inductive time constant of the circuit? ms (b) Calculate the current in the circuit 250 µs after the switch is closed. A (c) What is the value of the final steady-state current? A (d) After what time interval does the current reach 80.0% of its maximum value? ms