Part A) Determine the energy stored in the inductor L as a function of time for the LR circuit of the figure.Express your answer in terms of the variables L, t, R, V0, and appropriate constants. U=?  Part B) After how many time constants does the stored energy reach 99.9%% of its maximum value? Express your answer using two significant figures.

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.

What is the energy stored in the inductor shown in the figure after the switch has been closed for a very long time? Take V = 15 V, R = 1400 Ω and L = 30 mH.

Students who are studying LR circuits obtain some identical inductors with a common inductance value L0 and some identical resistors with a common resistance value R0. They assemble a circuit with one inductor and one resistor in series with a voltage source and a simple switch, as shown. They close the switch, collect data, and observe that the time constant of the circuit has the value τ0.

ANSWERS ASK YO max For the circuit shown in the figure below, AV, = 77.0 V, w = 65.0π rad/s, and L = 70.0 mH. Calculate the current in the inductor at t = 13.0 ms. 5.38 X Recall that the potential difference across the inductor is proportional to the rate of change of the current. A AVmax sin wot L eee

In the circuit, the capacitor is fully charged when switch S is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitance is C = 10.0 mF and inductance is L = 25.0 H. time = + Q. lelll

This LR circuit has time constant named tau, t, and maximum current, If = V/R. Which one of the following best gives an equation for current after time tau, t, the switch has been closed? V If/T (i.e., If/tau) zero If (e-1)/e O I4/e If/e

For the coaxial line filled with two dielectric media as shown in figure below, a) Find the capacitance per unit length between the inner and outer conductors. b) Find the inductance per unit length between the inner and outer conductors, neglecting the internal inductance inside the metal. Radii of the coaxial material are a, b, and c, as shown in figure below. Permittivity and permeability of each dielectric are shown in figure below. Conductors Ho, 81 Ho, 82 Figure Coax

For the circuit shown below, E = 20 V, L = 4.0 mH, and R_1 = R_2 = 5.0 Ω. After steady state is reached with S1 closed and S2 open, S2 is closed while simultaneously opening S1 (at t = 0).  a. Determine the current through the inductor at t = 0.  b. Determine the current through the inductor at t = 4.0 × 10^-4 s.  c. Determine the voltages across the inductor and resistor R_2 at t = 4.0 × 10^-4 s.

A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 = R. %3D + R2 = 39 0, R3 = 62 Q and R4 = 126 Q. The inductance is L = 362 mH and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. Ra L %3D R4 R2 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is l4(0), the magnitude of the current through the resistor R4 just after the switch is closed? 0.053 A Submit 2) What is l4(00), the magnitude of the current through the resistor R4 after the switch has been closed for a very long time? 0.063 A Submit 3) What is IL(00), the magnitude of the current through the inductor after the switch has been closed for a very long time? 0.0389 A Submit 4) After the switch has been closed for a very long time, it is then opened. What is I3(topen), the current through the resistor R3 at a time topen = 6.8 %3D ms after the switch was opened?…