Please answer all questions.

For Q1, please describe metal detectors as one of Faraday's induced voltage applications( Text is attached).

Metal Detectors Metal detectors, such as those used in airports for security. seem fairly mysterious. How can they detect the presence of any metalnot just magnetic materials such as ironbut not detect plastic or other materials? Metal detectors work because of induced currents. A metal detector, shown in FIGURE 30.31, consists of two coils: a transmitter coil and a receiver call. A high-frequency alternating current in the transmitter coil generates an alternating magnetic field along the axis. This magnetic eld creates a changing flux through the receiver coil and causes an alternating induced current. The transmit- ter and receiver are similar to a transformer. Suppose a piece of metal is placed between the transmitter and the receiver. The alternating magnetic eld through the metal induces eddy currents in a plane parallel to the transmitter and receiver coils. The receiver coil then responds to the superposition of the transmitter's magnetic field and the magnetic eld of the eddy currents. Because the eddy currents attempt to prevent the flux from changing, in accordance with Lenz's law. the net field at the receiver decreases when a piece of metal is inserted between the coils. Electronic circuits detect the current decrease in the receiver coil and set off an alarm. Eddy currents can't flow in an insulator, so this device detects only metals. FIGURE 30.37 A metal detector. induced current Receiver coil due to eddy currenls "V' Metal . l C. Induced cut-rem due to the transmitter coil Transmitter coil . Eddy currents in the meta] reduce the induced current in the receiver coil. p IE X} 'A\\ID.O 1. Choose one of the three applications of Faraday's induced voltage described at the beginning of Sec. 30.7 and describe it as if explaining it to a peer outside of this class. 2. Write down the equations for the inductance of a solenoid and the voltage difference across an inductor. 3. How does an inductor behave when the current abruptly tries to turn on? How does an inductor behave when the current through it is constant? 4. The potential energy of an inductor is written U=1/2 LI^2. In what form is this energy stored exactly? 5. How does the current behave in an LC circuit? How is the relevant timescale defined? 6. How does the current behave in an LR circuit? How is the relevant timescale defined