Home
Class 10
MATHS
In electrical circuit theory, a circuit ...

In electrical circuit theory, a circuit C(t) called a linear circuit if it satisfies the superposition principle given by `C(at_(1)+bt_(2))=aC(t_(1))+bC(t_(2))`, where a, b are constants. Show that the circuits `C(t)=3t` is linear.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.6|15 Videos

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise UNIT EXERCISE|10 Videos

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.4|12 Videos

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos

  • SAMPLE PAPER - 10 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|2 Videos

Similar Questions

Explore conceptually related problems

The displacement of the particle along a straight line at time t is given by X=a+bt+ct^(2) where a, b, c are constants. The acceleration of the particle is

The charge flown through a circuit in the time interval between t and t+dt is givne by edq=e^(-t/tau)dt, where tau is a constnt. Find the total charge flown through the circuit betweent t=0 to t=tau .

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

The current in a discharging LR circuit is given by I = i_0 (t/tau) where tau is the time constant of the circuit. Calculate the rms current for the period t = 0 to t = tau .

lf x = a + bt + ct^(2) , where x is in metre and t in seconds, what is the unit of c?

The velocity v of a particle at time t is given by v = a t + \frac { b } { t + c } where a, b and c are constant. The dimensions of a, b and c respectively are

Let T be the set of all triangles in a plane with R a relation in T given by R ={(T _(1) , T _(2)): T _(1) is congruent to T _(2) } Show that R is an equivalence relation.

The law of linear motion of a particle is given by s=1/3t^(3)-16t , the acceleration at the time when the velocity vanishes is

Show that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.