Suppose that a parallel-plate capacitor has circular plates with radius R = 43 mm and a plate separation of 5.9 mm. Suppose also that a sinusoidal potential difference with a maximum value of 210 V and a frequency of 84 Hz is applied across the plates; that is,V = (210 V) sin[2π(84 Hz)t].Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R.

A magnetic field is uniform over a flat, horizontal circular region with a radius of 1.70 mm, and the field varies with time. Initially the field is zero and then changes to 1.50 T, pointing upward when viewed from above, perpendicular to the circular plane, in a time of 110 ms. (a) What is the average induced emf around the border of the circular region? (Enter the magnitude in uV and the direction as seen from above.) magnitude HV direction ---Select-- v as seen from above (b) Immediately after this, in the next 70.0 ms, the magnetic field changes to a magnitude of 0.500 T, pointing downward when viewed from above. What is the average induced emf around the border of the circular region over this time period? (Enter the magnitude in uV and the direction as seen from above.) magnitude direction ---Select-- v as seen from above

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.

Hence show that the wave equation for the magnetic field is V²H+k²H=0 where k = ₁√√μ₁&