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Transcript
Name Quiz 4 ID 1. A long, straight wire carries current I = 10 A. A right-angle bend is made in the middle of the wire. The bend forms an arc of a circle of radius r = 50 cm. Determine the magnetic filed at the center of the arc (both magnitude and direction). 2. A loop of wire in the shape of a rectangle has resistance of 10 ohm. A long and straight wire carrying a current I lies on tabletop as shown in the figure. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = Imax sin(50t). Determine the emf that is induced in the loop if Imax = 10.0 A, h = 2.00 cm, w = 1.0 cm and L = 50 cm. What is the induced current and it direction in the loop? What is the power transferred from the original current to the loop? 1 Name Quiz 3 ID 3. A current pulse is fed to the partial circuit shown in the figure. The current pulse is 10.0 A and its duration is from t =0 to t = 200 μs. Determine the current in the inductor and the resistor as a function of time, and the total heat the resistor generates. 4. A series AC circuit contains the following components: a 150 Ω resistor, and inductor of 250 mH, a capacitor of 2.00 μF, and source with ΔVmax = 160 V operating at 60.0 Hz. Calculate the (a) inductive reactance, (b) capacitive reactance, (c ) impedance, (d) maximum current (e) phase angle between the current and the source voltage, (f) the rms values of the current and the source voltage, and (g) the average power delivered from the power source. If you are allowed to only change the capacitor, what capacitance you would choose to have the maximum average power delivered? 2