An engineering student is designing a way to harness the energy of the Sun. Her plan is to direct a concave mirror towards the Sun, with the expectation that the power produced at the location of the image will be greater than or equal to 330 W. At this location, the intensity of the electromagnetic radiation from the Sun is 1.00 kW/m². (a) Assuming the Sun subtends an angle of 0.533° at the Earth, find the required radius R. (in m) of the circular face area of the mirror. R₂2 m (b) Now suppose the light intensity is to be at least 104 kW/m² at the image. Find the required relationship between R. and the radius of curvature R of the mirror. R₂ S R

An engineering student is designing a way to harness the energy of the Sun. Her plan is to direct a concave mirror towards the Sun, with the expectation that the power produced at the location of the image will be greater than or equal to 330 W. At this location, the intensity of the electromagnetic radiation from the Sun is 1.00 kW/m². (a) Assuming the Sun subtends an angle of 0.533° at the Earth, find the required radius R. (in m) of the circular face area of the mirror. R₂2 m (b) Now suppose the light intensity is to be at least 104 kW/m² at the image. Find the required relationship between R. and the radius of curvature R of the mirror. R₂ S R