Consider a series lrc-circuit in which c-120.0 uf. when driven at a frequency w = 200.0 rad s-1 the com ples impedance is given by z-(100.0-j10.0) ω. (a) calculate (i) the reactances x1 and xc of the circuit at w = 200.0 rad s-1, ii) the inductance of the circuit. (b) calculate the resonant angular frequency of the circuit. hence, calculate the driving frequencies for which the average power in the circuit is half the reso- nant power [hint: the solutions to the quadratic formula: az? + bx + c 0 are given by: -4ac) /2a.

Agalvanometer has an internal resistance of 100 ω and deflects full-scale at 2.00 ma. what size resistor should be added to the galvanometer to convert it to a milliammeter capable of reading up to 4.00 ma, and how should this resistor be connected to the galvanometer?

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?

Asystematic approach to problem solving is called a (an)