posted by Laurie on .
Lasers are used to try to produce controlled fusion reactions. These lasers require brief pulses of energy that are stored in large rooms filled with capacitors. One such room has a capacitance of 64 10-3 F charged to a potential difference of 7 kV.
(a) Given that W = 1/2CΔV2.
J, find the energy stored in the capacitors.
(b) The capacitors are discharged in 10 ns (1.0 10-8 s). What power is produced?
(c) If the capacitors are charged by a generator with a power capacity of 1.5 kW, how many seconds will be required to charge the capacitors?
(a) Your formuls should have been written
W = (1/2) C (ΔV)^2
All you have to do is use it. With ΔV = 7000 V and C = 64*10^-3 F, the answer will be in Joules.
(b) Power = Work/time
(c) (Generator power)* Time = Work
(Get the Work from part (a)
Solve for the time