I'm having difficulty solving these problems

1)A solenoid 3.37 cm in diameter and 25.9 cm long has 223 turns and carries a current of 8 A. Find the magnetic flux through the circular cross-sectional area of the solenoid. Answer in units of T . m2. 2) A circular loop of wire with a radius 3.433 cm is placed in a magnetic field such that it induces an EMF of 1.86 V in the circular wire loop. If the cross-sectional diameter of the wire is 0.293 mm, and the wire is made of a material which has a resistivity of 1.5 x 10 6n m, how much power is dissipated in the wire loop? Answer in units of W. 3) A strong electromagnet produces a uniform field of 2.55 T over a cross-sectional area of 0.198 m . A coil having 236 turns with a total resistance of 12.4 0 is placed around the electromagnet, and the current in the electro- magnet is turned off, reaching zero in 10.1 ms, What current is induced in the coil? Answer in units of A. 4) In a model generator, a 510-turn rectangular coil 0.079 m by 0.28 m rotates with an angular frequency of 12.2 rad/s in a uniform magnetic field of 0.53 T. What is the maximum emf induced in the coil? Answer in units of V. 5) A ideal transformer shown in the figure below having a primary with 25 turns and secondary with 20 turns. The load resistor is 42 2.The source voltage is 70 Vrms- What is the rms electric potential across the 42 0 load resistor? Answer in units of Vrms. 6) The electric field in an electromagnetic wave (in vacuum) is described by E =Emaxsin(kx-wt), where Emax =56N/Candk=9x108 m . The speed of light is 2.99792 x 108 m/s. Find the amplitude of the corresponding magnetic wave. Answer in units of T. 7) What is the frequency of highly energetic ultraviolet radiation that has a wavelength of 128 nm? The speed of light is 3 x 105 m/s. Answer in units of Hz. 8) A plane electromagnetic wave has an average power per unit area of 253 W/m . A flat, rectangular surface, 25.9 cm by 35.7 cm, is placed perpendicular to the direction of the plane wave. If the surface absorbs half the energy and reflects half, calculate the net energy absorbed in 0.539 min Answer in units of J. 9) A mirrored surface is illuminated by a 599 mW laser with a beam diameter of 1.9 um- The speed of light is 2.9979 x 105 m/s and the index of refraction is 1. What is the magnitude of the force on the mirrored surface? Answer in units of N. 10) Assume the bar and rails have negligible resistance and friction. In the arrangement shown in the figure, the resistor is 8 0 and a 6 T magnetic field is directed out of the paper. The separation between the rails is 3 m, Neglect the mass of the bar. An applied force moves the bar to the right at a constant speed of 2 m/s . At what rate is energy dissipated in the resistor? Answer in units of W