In recent years it has been possible to buy a 1.0 f capacitor. this is an enormously large amount of capacitance. suppose you want to build a 1.0 hz oscillator with a 1.0 f capacitor. you have a spool of 0.25-mm-diameter wire and a 3.6-cm-diameter plastic cylinder. how long must your inductor be if you wrap it with 2 layers of closely spaced turns? express your answer to two significant figures and include the appropriate units.

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. the electric field at a point p, which is 0.50 m from the center of the sphere, is 15,000 n/c and is directed radially outward. what is the maximum magnitude of the electric field due to this sphere

How much work is done lifting a 9.10 kg box straight up onto a shelf that is 1.80 m high?

Space-time metric ds2= -dt2+at2dx2+bt2dy2+ct2dz2 (a)how does the area of a rectangle with vertices at ( x=0, y=0, z=0 ), (1,0,0 ), ( 0,1,0 ) and (1,1,0 ) changes with time? (b) if a photon moving in the x direction starts from the origin at t=1, when does it reach x=l? (ds=0 for the trajectory of a photon.) (c) the proper time for a particle is defined by cd=ds. what is the proper time for a particle to move along the trajectory ( x(t)=t, y(t)=0, z(t)=0 ) from t=0 to 1 ? what is the condition on the parameter a so that the velocity of the particle never exceeds the speed of light ?