Find the charge q(t) on the capacitor and the current i(t) in the given lrc-series circuit. l = 5 6 h, r = 10 ω, c = 1 60 f, e(t) = 1200 v, q(0) = 0 c, i(0) = 0 a q(t) = correct: your answer is correct. c i(t) = correct: your answer is correct. a find the maximum charge on the capacitor. (round your answer to three decimal places.)

Explanation:

The DE corresponding to LRC series circuit is

Lq" + Rq' +1/c q = E

q" + 12q' + 72 q =  1440

considering only homegeneous part

q" + 12q'+ 72 q= 0

the auxillary equation is

the solutiion is

solve for particular siolution

q" + 12q'+ 72 q= 0

let qp = a be the solution

0 + ) + 72a = 1440

a = 20

general solution is

q = qh + qp

[/tex]

applying initial value i(0) = q(0) = 0

also i(t) = q'(t)

q(0) = 0

i(0) = 0

explanation:

areas w steep slopes, west coast, rocky mountains, and appalachian mountains

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.