A 0.35 µH inductor is used in an FM radio circuit that oscillates at 100 MHz. The current through the inductor reaches a peak value of 2.0 mA at t = 4.0 ns. What is the peak inductor voltage, and when, closest to t = 4.0 ns, does it occur?
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- You are a journeyman electrician working in an industrial plant. Your task is to connect an inductor to a 480-V, 60-Hz line. To determine the proper conductor and fuse size for this installation, you need to know the amount of current the inductor will draw from the line. The nameplate on the inductor indicates that it has an inductance of 0.1 H. An ohmmeter reveals that it has a wire resistance of 10 Ω. How much current should this inductor draw when connected to the line?An 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?A resistor and an inductor are connected in series to a battery with emf 240 V and negligible internal resistance. The circuit is completed at time t = 0. At a later time t = T the current is 5.00 A and is increasing at a rate of 20.0 A>s. After a long time the current in the circuit is 15.0 A. What is the value of T, the time when the current is 5.00 A?
- 7An inductor and a capacitor are connected in series. It is found that it takes takes 2 microsecond for the total energy to be converted from electric energy in the capacito to magnectic energy in the indutor. If at t = 0 the capacitor is fully charged. What is the earliest time at at which the current in the circuit is maximum?A capacitor of capacitance C is connected to a resistor and an inductor of inductance L. If the resistance equals (L/C)0.5, describe the behavior of charge on the capacitor. charge decreases exponentially Ocharge stays constant O charge oscillates while increasing exponentially charge decreases linearly charge oscillates while its amplitude decreases exponentially O charge increases exponentially
- 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.)A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 231 0. The values for the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190 uF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. R, L2 b 1) The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? J Submit 2) What is wo, the resonant frequency of the circuit just after the switch is opened? radians/s Submit 3) What is Qmax: the magnitude of the maximum charge on the capacitor after the switch is opened? uC Submit 4) What is Q(t1), the charge on the capacitor at time t = t = 4.83 ms. Q(t1) is defined to be positive if V(a) - V(b) is positive. uC Submit 5) What is t7, the first time after the switch is opened that the energy stored in the capacitor…3
- charge and the current (i) is zero, then P= 0. If q =0 at time t =0, then =±n/2. Example: A 300-V dc power supply is used to charge a 25-µF capacitor. After the capacitor is fully charged, it is disconnected from the power supply and connected across a 10-mH inductor. The resistance in the circuit is negligible. (a) Find the frequency and period of oscillation of the circuit. (b) Find the capacitor charge and the circuit current 1.2 ms after the inductor and capacitor are connected. Then find for the magnetic and electric energies (c) at and (d) at t = 1.2 ms. Given: C = 25 x 106 F L = 10 x 103 H t = 1.2 x 103 s (c) Solving for magnetic (UB) and electric (UE) energies at time t =0. Solution: (7.5 x 10-3 C)? (a) Solving for angular frequency (w)and period (T) Ug =Li? = 0 Ug = 2C - 1.1 J 2(25 x 10-6 F) 1 = 2.03 x 10° rad/s (10 x 10-3H)(25 x 10¬°F) (d) Solving for magnetic (UB) and electric (UE) energies at time t =1.2 ms. 2. 03 х 103 Рad Ug = }Li² = }(10 × 10-3 H)(-10 A)² = 0.5 J f = 320…A capacitor with 4.0x 10-6 F and initial charge Q=6.0x10-3 C is connected to an inductor that has L= 2.0H and negligible resistance. During the current oscillations, what is the current in the inductor when the charge on the capacitor is q=-3.0x 10-3 CA 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