The switch in figure has been open for a long time. It is closed at t = 0 s. What is the current through the R₁ resistor? (a) Immediately after the switch is closed? (b) After the switch has been closed a long time? (c) Immediately after the switch is reopened? R₁ = 20.0 ; R₂ = 30.0 ; L = 12 mH; ε = 40 V
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- The rod shown below moves to the right on essentially zero-resistance rails at a speed v=3.0m/s . If B = 0.75 T eveywhere in the region, what is the current through the 5.0 resistor? Does the current circulate clockwise or counterclockwise?How long after switch S1 is thrown does it take the current in the circuit shown to reach half its maximum value? Express your answer in terms of the time constant of the circuit.Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire pet centimeter. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm, as shown below. (a) What is the emfInduced In the coil when the current through the solenoid Is decreasing at a rate dl/dt= -0.20A/s? (b) What Is the electric field Induced In the coil?
- A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?The accompanying figure shows a conducting ring at various positions as It moves througli a magnetic field. What is the sense of the induced em! for each of those positions?In the circuit below, the switch has been in the open position for a long time. At t=0, the switch is turned on. If the current at time t=1.1 ms reaches 75% of its maximum value, R=25 Ω, and ℰ=15 V, find:the maximum value of the current, Imax= A.the time constant τ= ms,the inductance L= mH.If the switch is open again, after what time, the current will reach 25% of its value?t1/4= ms.
- A region contains a magnetic field that is uniform throughout, but increases in magnitude constantly over time by 0.1 T per second. If a circular loop of 5-square meters interior area is placed as shownin the figure below, what would be the magnitude of the EMF voltage? Explain the reasoning behind yourselection in detail.A) 5 VB) 1 VC) 0.5 VD) 0.1 VE) 0 VIn the figure, R = 11.0 Ω, C = 6.82 μF, and L = 54.0 mH, and the ideal battery has emf = 32.0 V. The switch is kept in position a for a long time and then thrown to position b. What are the (a) frequency and (b) current amplitude of the resulting oscillations?The rod shown below moves to the right on essentially zero-resistance rails at a speed of v=2.20 m/s. If B=0.927 T everywhere in the region, what is the current through the 5.0 -Ω resistor? Report your answer in units of milliamps.
- In the figure below, R1 =10.0kΩ, R2 =15.0kΩ, C=0.40μF, and the ideal battery has an emf E=20.0V. First, the switch is closed until the system reaches steady state; then, the switch is opened at time t = 0 and the capacitor starts to discharge. What is the current in R2 at t = 3.00 ms?A square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.1410 - 0.8500 t with B in teslas and t in seconds, what is the total emf in the circuit?In which time interval will the changing-with-time magnetic field induce the greatest emf in a conducting loop? 1. 2 3 4 Both 1 and 3.