5 A certain material has a dielectric permittivity eo and magnetic permeability 340. An electromagnetic (EM) wave with frequency 430 × 1012 Hz enters this material. What is the wave speed inside the material? A. 8.216 x 107 m/s C. 2.997 × 10° m/s B. 1.095 × 10° m/s D. 8.126 × 10 m/s

A square loop with sideofa= 10 cm is placed in a perpendicular magnetic field of 1.0 T. Themagnetic field is initially pointing in the +k̂direction and flips (changes sign) in Δt= 0.1 s. You are told thatthe field changes at a constant rate. a.What is the direction of the induced current in the square loop? b.Let the resistance of the loop (measured in ohms) be equal to the total length of the wire that forms theloop (measured in cm). What is the magnitude of the induced current in the loop? c.How will the induced current change if you reduce the length of each side of theloop to 5 cm? Will it increaseordecrease,and by what factor?

||| INT A 20-cm-long, zero-resistance wire is pulled outward, on zero-resistance rails, at a steady speed of 10 m/s in a 0.10 T magnetic field. (See Figure P25.630.) On the opposite side, a 1.0 carbon resistor completes the circuit by connecting the two rails. The mass of the resistor is 50 mg. a. What is the induced current in the circuit? b. How much force is needed to pull the wire at this speed? c- Calculate the power dissipation in the resistor. 1.0 Ω X X X X X X X X X X X X X X X 0 XX X 0 Ω Χ 1 = 20 cm X X X 0.1 T X X X X X X Χ 0Ω Χ X X X X X X X v = 10 m/s

What inductance must be connected to a 20 pF capacitor in an oscillator capable of generating 590 nm (i.e., visible) electromagnetic waves? Number i Units

2. A capacitor of 12µF is charged by a 30 V battery. Afterwards, the capacitor is disconnected from the battery and connected to an inductor with L = 2H. a. What is the angular frequency? b. What is the initial charge on the capacitor? What is the charge on the capacitor at 0.05 s? с.