A series LR circuit includes a 9.0 V battery, a resistance of 0.50 and an inductance of 0.80 H. When the switch is closed, how long does it take for the current to reach one half of its maximum value?
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- A 506-turn solenoid has a radius of 7.80 mm and an overall length of 12.6 cm. (a) What is its inductance? mH (b) If the solenoid is connected in series with a 2.50-N resistor and a battery, what is the time constant of the circuit? msAn LRC circuit contains a 200-ohm resistor, a 2.00-H coil, and an unknown capacitor. The circuit resonates at 1000 Hz. What is the value of the capacitance C?Consider the RL circuit in the figure with R=10.00 Ω, L1=1.80 H, L2=3.90 H, and V=5.0 V. At time t=0, the switch is closed to connect the circuit to a constant emf. How long (in seconds) does it take for the current to reach a value of Imax/2.71828 of its maximum value, where Imax is the maximum current through the circuit?
- The figure below shows a circuit with a battery of EMF = 3.75 V, a resistor with R = 2.16 2, and an inductor with L = 2.45 H. If the battery is connected at t = 0, at what time will the rate of energy stored in the inductor be equal to x = 1.89 times the power dissipated in the resistor? i S 99 4+ R L2 2 Hint You can use the conservation of energy to determine the fraction of the power dissipated in the resistor: total energy lost by a battery per unit of time (power) is &I is spent on the rate of energy stored by the inductor and the power dissipated in the resistor I² R. As EMF, resistance, and inductance are given to you, you know the time dependence of the current to calculate the fraction x at any given time.A 7.2-mH inductor is connected to a current. What is the magnitude of the voltage in the inductor at time t = 3.0 s if the current is I(t) = 5 + 7t -2t2? (Assume two significant digits for each number.)3
- A circuit consists of a large electromagnet that has an inductance of 48.0 H and a resistance of 7.90 Ω, a dc 250 V power source, and an open switch - all connected in series. How long after the switch is closed is the current equal to 28.5 A?A solenoid having an inductance of 9.26 μH is connected in series with a 1.17 kQ resistor. (a) If a 16.0 V battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 73.0% of its final value? (b) What is the current through the resistor at a time t = 1.00TL? (a) Number i Units (b) Number i Units >A series RLC circuit with consists of a 35 2 resistor, a 125 mH inductor, and a 125 µC driven by a 120 V rms, 60 Hz, potential difference. What is the maximum current in the circuit? O 2.8 A O 3.4 A F3 3 O 3.9 A O 4.8 A O 1.9 A F4 $ Q Search F5 % 5 F6 6 F7 & 7 8 h F8 (DELL) * 00 8 F9 prt sc ( 9 F10 d W home ) F11 0 end F12 insert + 11 9:31 PM 8/9/2023 delete
- An inductor has an inductance of 0.011 H. The voltage across this inductor is 68 V and has a frequency of 340 Hz. What is the current in the inductor? Number i UnitsYou have a series RL Circuit hooked up to a battery ('charging'). This means that the inductor is able to store energy it gains from the battery over time. The inductor has a value of L = 31.000 mH while the resistor has a value of R = 34.00 Ohms. The battery they are hooked up to has a value of EMF = 3.00 V. You can assume that at t = 0 s there is no current in the system and the inductor has no energy stored across it. At time t = 1.250 time constants, what is the current in the circuit? Your Answer: Answer unitsA solenoid having an inductance of 8.53 μH is connected in series with a 1.72 kΩ resistor. (a) If a 20.0 V battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 89.8% of its final value? (b) What is the current through the resistor at a time t = 1.00τL?