show that the magnetic induction vector B satisfies the wave equation 1 0²B c² dt² V2B=

A ring of radius r = 0.24 m is made of copper wire (cross-sectional area of the wire A = 0.65 x 10-6m²). The ring is placed in a uniform magnetic field whose direction is perpendicular to the page, into the page. The magnetic field increases in time according to the equation: B = 3.0t, where B is in teslas and time is in seconds. Determine the magnitude and direction of the induced current in the copper ring at room temperature (20°C) and at -200°C. Resistivity for copper is p = 1.69 x 10-® Nm and the temperature coefficient of resistivity for copper is a = 3.86 x 10-3 хх x x X X x X хх

QB2d. Calculate the EMF induced in the railway carriage wheel of radius R=840 mm by the magnetic field of the Earth. Consider that the magnetic field of the Earth makes an angle of 71.5 deg with the horizontal surface of the railway track. Take the speed of the carriage to be v = = 158 km h¹ and the value of the magnetic field of the Earth B = 10-5 T. Provide your answer in microvolts (10-6 V=1 μV): for example, if you calculated the value to be 0.000075 V, then enter 75 as your answer. Enter your answer in the box below.

A square loop with area of A= 0.25m^2 has a perpendicular magnetic field passing through. If the magnetic field increases from B=2.0T to B=4.0T in 0.2 seconds, what is the induced e.m.f?