Problem #9: A conducting rectangular loop of a width b = 0.2 m and a height h = 0.3 m is situated in the neighborhood of a very long power line carrying a 50 Hz current, as shown in Figure, withd = 0.15 m. An AC milliammeter inserted in the loop reads 0.3 mA. Assume the total impedance of the loop including the milliammeter to be 0.01 ohm. a) Find the magnitude of the current in the power line. b) To what angle about the horizontal axis should the circular loop be rotated in order to reduce the milliammeter reading to 0.2 mA? i(t) d.

In a purely inductive AC circuit as shown in the figure, AVmax = 100 V. AVmax sin 27ft L (a) The maximum current is 5.20 A at 44.0 Hz. Calculate the inductance L. mH (b) At what angular frequency w is the maximum current 1.70 A? rad/s ell

In a simple AC circuit shown on the right, C = 0.0045 F, L = 1.4 H, R = 45 Ω, and ΔV = ΔVmaxsin(ωt), where ΔVmax = 5.5 V and ω = 45 rad/s. a. Calculate the numerical value of Z in ohms.  b. Calculate the numerical value of Imax in A.  c. Calculate the numerical value of φ in radians.

A resistor and an unknown device are connected in series with an AC generator as shown in the diagram below. The current lags behind the voltage of the generator by 69º. R www X (a) If the total impedance of the circuit is 223 , what is the value of the resistor in the circuit? Ω (b) What is the reactance of the device? Ω

A 120-V AC input is given to the primary of an ideal transformer with 800 loops at the primary and 200 loops at the secondary. What is the voltage at the secondary side? ○ 40 V ○ 480 V 120 V ○ 30 V

The charge on the capacitor of an LC circuit with capacitance C and inductance L obeys the following equation. Find the maximum current in the circuit. q= Q cos [t/(LC)0.5] Q Q/(LC) 0.5 zero QQ²/(LC) 0.5 imax 1/(LC) 0.5

An AC source i(t)=(20.0[mA])cos((10.0[rad/s])t) is connected to a 100[μF] capacitor , what is the potential through the capacitor?

A capacitor (capacitance C₁) is connected across the terminals of an ac generator. Without changing the voltage or frequency of the generator, a second capacitor (capacitance C2) is added in series with the first one. As a result, the current delivered by the generator decreases by a factor of 5.00. Suppose the second capacitor had been added in parallel with the first one, instead of in series. By what factor would the current delivered by the generator have increased? Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise.

A 20 mH inductor is connected across an AC generator that produces a peak voltage of 10.0 V. What is the peak current through the inductor if the emf frequency is (a) 100 Hz? (b) 100 kHz?