Recent content by the_kool_guy

Work output(deal) for a hydraulic machine per kg of incoming fluid is V(TANGENTIAL)*SPEED OF BLADE (assuming zero out swirl velocity. Draft tube causes static pressure ont runner outlet to fall below zero. Thus available head is increased by an amount equal to this drop. But power output from...

In the text there is no mention of RMS . there is just written for I.i am writing the complete statement of text.. GIven the current I,then |V| is max when |z| is max or w = 0 where |Z| = R so avg power absorbed by resistor is Po=1/2|V|^2/R...however when w=1/RC then |Z| =...

my question is that... AVERAGE power when w = 0 should be I*I*R. and when w = 1/RC Average power comes(by resistor) to 1/4*I*I*R... this thing is confusing me as the text declares AVERAGE power with w = 0 as 1/2*I*I*R

here's the snap of text m consulting... its calculated for average power... even for w = 0, average power is said to be 1/2I*I*R

it will be half of I2R but aren't we talking about average power dissipated or rather its instantaneous power that must be taken to calculate half power frequencies?

there is a parallel R - C circuit connected with a alternating current source of frequency 'w'. on plotting the function of |z| vs 'w' we get max at w=0; and max/2 at 'w'= 1/RC. while calculating power absorbed by resistor, we get Pmax = 1/2I^2R( >>>? how).. and at w = 1/RC power by resistor...

ok i will try on a few questions , if doubt persists i will ask.. thanks

in this figure with assumed polarities and current how can i get the corresponding differential equation...?

in the attached figure.., let i be in clockwise. so how can i get di/dt .. again when battery is removed how can i get di/dt.. cause it is what di/dt that will determine polarity of inductor

with initial capacitor voltage and direction of assumed current i can get sign of dq/dt (depending upon current entering or exiting from positive plate ) but what about di/dt for inductor...?

i m not able to get... in LCR circuit after having assuming direction of current say clockwise; what will be the assumed polarities of inductor and capacitor knowing say initial capacitor voltage Vo

how does assumed direction of current specifies di/dt...?

i generally get confused in polarities of inductors and capacitors while doing KVL. eg about a series RLC circuit ,the equation turns out to be ( Ldi/dt + iR + Vc = 0 ) this is the equation about assumed 'i' if we assume both capacitor and inductor in charging mode... ... what if I assume...

hmmm ... p and q must be continuous over [a,b] where m lies in the above interval... 1/x is not continuous ... on 0 thanks

theorem states that for y'' + p(x)y' + q(x)y = r(x); if y1 & y2 are random numbers such that y(m) = y1 and y'(m) = y2 then we can find a unique solution y for above differential equation... in y'' - y'/x = 0; both y = x^2 and y = 0 and y = k x^2 satisfy above with .. y(0) = 0; and...