Find Instantaneous electric current at `t=2sec`, if `Q=4t^(2)+alpha`

The velocity time graph of a body moving in a straight line is shown. Find its (a) instantaneous velocity at t = 1.5 sec (b) average acceleration from t = 1.5 sec. to t = 2.5 sec (c) draw its acceleration time graph from t = 0 to t = 2.5 sec

If q=2t^(2)+3 , find current at t=2 sec ?

The instantaneous magnetic flux phi in a circuit is phi=4t^(2)-4t+1 .The total resistance of circuit is 10Omega . At t=(1)/(2)s ,the induced current in circuit is

In an ac circuit the instantaneous values of current and applied voltage are respectively i=2(Amp) sin (250pis^(-1)t and epsi =(10V) sin [(250pis^(-1))t+(pi)/(3) , Find the instantaneous power drawn from the source at t=(2)/(3)ms and its average value.

Let s(t)=t^(3)-6t^(2) be the position function of a particle moving along an s-axis, where s is in meters and t is in sec. find the instantaneous acceleration a(t) and show the graph of acceleration versus time.

Position vector of a particle is given as r = 2t hati +3t^(2) hatj where t is in second and the coefficients have the proper units, for r to be in metres. (i) Find instantaneous velocity v(t) of the particle. (ii) Find magnitude and direction of v(t) at t = 2s

The instantaneous value of current in an ac circuit is I = 2 sin (100pit + pi//3) A . The current at the beginning (t = 0) will be –

If instantaneous current is given by i=4 cos(omega t + varphi) amperes, then the r.m.s. value of current is

The instantaneous current in an AC circuit is l = sqrt 2 sin(50 t + pi / 4 ) . The rms value of current is

The current in conductor varies with time t as I = 2 t + 3 t^(2) where I is in ampere and t in seconds. Electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is