It is desired to design a filter for a half wave rectifier. The required percentage ripple given is 0.1%. The input supply voltage is 230 VRMS and the load is 100 Ω at a frequency of 50Hz. What should be the optimum peak to peak ripple voltage to meet the 0.1% percentage ripple? *​

The position of a dragonfly that is flying parallel to the ground is given as a function of time by r⃗ =[2.90m+(0.0900m/s2)t2]i^− (0.0150m/s3)t3j^. a: at what value of t does the velocity vector of the insect make an angle of 34.0 degree clockwise from the x-axis? b: at the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? c : at the time calculated in part (a), what is the direction of the acceleration vector of the insect?

What statements accurately describe atoms

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1