An annular ring with a uniform surface charge density σ sits in the xy plane, with its center at the origin of the coordinate axes. The annulus has an inner radius r1 and outer radius r2. Required:
If you can find symmetries in a physical situation, you can often greatly simplify your calculations. Find a symmetry in the annular ring before calculating the potential along the z axis through the ring's center.

Your town is considering building a biodiesel power plant describe at least two advantages and two disadvantages

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j

In which of these cases are the two wave points considered to be in phase with each other?