Consider the circuit shown in the figure below. Take = 10.00 V, L = 12 mH, and R = 9 22. Shown in the figure below. R ww (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 100 us after the switch is closed. (c) What is the value of the final steady-state current? (d) How long does it take the current to reach 75.0% of its maximum value?

You are trying to become a member of the Physics Olympics team. Your physics professor is training you and some other students by having you compete with each other to solve problems as accurately and quickly as you can. During one session, he springs the RLC circuit shown in Figure P32.47 (page 872) on you. Figure P32.47a shows the circuit with a battery as the energy source. The battery has an emf E and internal resistance r. He tells you the following, assuming switch S has been at position a for a long time: If only switch SL is closed, and switches SC and SR are open, and then switch S is thrown to position b, the time constant of the circuit is 1 = 0.200 ms. Switch S is returned to position a for a long time. Figure P32.47 If only switch SC is closed, and switches SL and SR are open, and then switch S is thrown to position b, the time constant of the circuit is 2 = 0.050 0 ms. Switch S is returned to position a for a long time. In Figure P32.47b, an AC source with a variable frequency has been added to the same circuit, and switch S is thrown to position b. Switches SC, SL, and SR are all open. At what angular frequency should the AC source be set so that the circuit exhibits resonance? Quick! Get to work!

A person with body resistance between his hands of 10.0k accidentally grasps the terminals of a20.0-kV power supply. (Do NOT do this!) (a) Draw a circuit diagram to represent the situation, (b) If the internal resistance of the power supply is 2000 , what is thecurrent through his body? (c) What is the power dissipated in his body? (d) If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in this situation to be 1.00 mA or less? (e) Will this modification compromise the effectiveness of the power supply for driving low- resistance devices? Explain your reasoning.

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The following figure represents an RC-Circuit with the switch. In Figure A, the capacitor is initially uncharged. In Figure B, the capacitor is initially fully charged. 1) Draw and label the current direction immediately after the switch is closed for each figure. 2) Consider Figure A. What is the voltage across the capacitor as t → 0? Explain. 3) Consider Figure B. Is the voltage across the resistor increasing, decreasing or staying the same as t → ∞? Explain. A) B) R MacBook Pro

If the switch (S) in the figure is closed for a very long time, what is the charge on the capacitor?  Use an emf of  20 V, R1 = 100 Ω and  C1 = 20 μF.

The figure below shows a circuit that consists of two identical emf devices. If  R1 = R2 = R  and the switch is closed, find an expression (in terms of R and ) for the current I that is in the branch from point a to b. (To represent, use E.)

3 Four resistors, R = 100 0, R2 = 250 N, R, = 350 0 and R, = 200 0 are connected such that the parallel combination of R, and R, is connected in series with the parallel combination of R, and R, The senes-parallel combination is then connected across a 24 V DC power supply, A Draw the schematic diagram and label the circuit elements. B. Calculate the equivalent resistance of the circuit. C. Find the total current of the circuit, the voltage across each resistor and the current through each resistor.

An uncharged capacitor and a sequence of resistors are connected as shown in the figure below. After the switch is closed, find: a. The time constant of the RC circuit b. The maximum charge on the capacitor c. The charge on the capacitor 2 ms after the switch is closed