In Fig.30.11 in the textbook, switch S1 is closed while switch S2 is kept open. The inductance is L = 0.160 H , and the resistance is R = 130 Ω .
a) When the current has reached its final value, the energy stored in the inductor is 0.230 J . What is the emf E of the battery?
b) After the current has reached its final value, S1 is opened and S2 is closed. How much time does it take for the energy stored in the inductor to decrease to a half of the original value?
a) energy u = 1/2li^2
i= sqrt(2u/l) = sqrt(2*0.23/0.16) = 1.695 amp
emf = i*R = 1.695*130 = 220.43 V
b) i = Ie−(R/L)t
1.2li^2 = 1/2lI^2e(-2R/L)t
t = l/2Rln(1/2) = 0.16*(0.693)/2*130 = 4.27*10^-4 sec
In Fig.30.11 in the textbook, switch S1 is closed while switch S2 is kept open. The...
In (Figure 1), R = 16.0 2 and the battery emf is 6.30 V. With switch S2 open, switch S1 is closed. After several minutes, S1 is opened and S2 is closed. Part A At 2.50 ms after S1 is opened, the current has decayed to 0.290 A. Calculate the inductance of the coil. Part BHow long after S1 is opened will the current reach 1.00% of its original value?
In the circuit below, R=10.0 ohms, L=30.0 h, and E=20v. switch s1 is closed and switch s2 is left open. After the circuit has reached its final value switch s1 is opened and switch s2 is closed. what is the magnitude of the potential difference between points a and b three seconds after s2 is closed (inV). 7. In the circuit below, R = 10.0 12, L = 30.0 H, and ε = 20.0 V. Switch S1 is closed and...
Exercise 30.24 Constants in (Figure 1), R-12.0 Ω and the battery emf is 6.30 V With switch S2 open, switch Si is closed. After several minutes, S1 is opened and S2 is closed Figure 1 of 1> S2 Prow Part A At 2.30 ms after S1 is opened, the current has decayed to 0.230 A Calculate the inductance of the coil. Express your answer with the appropriate units. L-Value Units Submit Part B How long after Si is opened will...
Needs to be answered urgently (about 45minute) In the circuit shown in figure, switch S1 is closed and switch S2 is left open. After a long time the current in the circuit has reached its final, steady value. Then, while S1 is kept closed, switch S2 is closed (thus short-circuiting the inductor). Just after S2 is closed, what is the current through R2? R, = 222 w R2 = 322 Si S2 0000 L=1 H E = 50 V +...
In the circuit shown in (Figure 1) switch Si has been closed a long time while switch S2 has been left open. Then S2 is closed at the same instant when S1 is opened.Part A Just after S2 is closed, the current through the resistor is 12.0 A and its rate of decrease is di/dt = 36.0 A/s. How long does it take the current to decrease to Figure 1 of 1 6.00 A, one-half its initial value?
The switch sl has been open and switch s2 is closed. for a long time (Fig. 2) At t= 2 seconds, S2 is opened. Determine ict) fort>o. *=2 O 0 4or 40V ilt)
The circuit in the diagram consists of a 17.7 22 resistor, an inductor, and a 23.3 V battery. The inductor is made from a solenoid with the following parameters: 4V. 0000 Cross-Section Area = 16.9 cm2 Length = 3.6 cm Number of turns of wire = 1255 Part A Calculate the inductance of the inductor. Part B Calculate the time constant for the circuit. Part How long will it take for the current from the battery to reach 85% of...
1. The switch S is closed at t = 0 (assume that the battery voltage remains constant at 10V and the resistance of the inductor is negligible). Calculate the voltage across each resistor a very long time after the switch has been closed and all currents and voltages reached steady values. (5 points)1. The switch S is closed at t = 0 (assume that the battery voltage remains constant at 10V and the resistance of the inductor is negligible). Calculate...
A 12.0 V battery is connected into a series circuit containing a 20.0 Ω resistor and a 2.70 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? s (b) In what time interval (in s) will the current reach 90.0% of its final value? s What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected...
1. An RL circuit comprised of one resistor and one inductor is shown in the figure below. The resistor and inductor are connected to a source of emf with negligible internal resistance by a switch a. The emf for this circuit is 12.0 V. The resistance of the resistor is 0.35 12, and the inductance of the inductor is 53 mH. For the circuit below: a. Sketch the graph of current through the inductor as a function of time after...