Home
Class 11
PHYSICS
The charge flowing through a conducting ...

The charge flowing through a conducting wire with time t is given by the formula `q=2t^(2)+3t+1` (coulombs). Find the current `i=dq//dt` at the end of the `5^(th)` second.

Text Solution

Verified by Experts

The correct Answer is:
`23` ampere
`i=(dq)/(st)=4t+3`
`((dq)/(dt))_(" at" t=5 sec)=4(5)+3=23 "Ampere"`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise EXERCISE - 3 (Miscellaneous Exercise)|20 Videos

  • KINETIC THEORY OF GASES

    BANSAL|Exercise Section-B|13 Videos

Similar Questions

Explore conceptually related problems

The charge flowing throug a conductor beginning with time to=0 is given by the formula q=2t^(2)+3t+1 (coulombs). Find the current i=(dq)/(dt) at the end of the 5th seconds.

The charge flowing through a conductor varies with time as q= 8 t - 3t^(2)+ 5t^(3) Find (i) the initial current (ii) time after which the current reaches a maximum value of current

Knowledge Check

  • A change Q flowing through a conductor , beginning with time t=0, is given by Q=3t^(2)+2t+ . If the intensity of the current is the rate of change of Q w.r.t. t, then the intensity at the end of the fifth second is

    A
    `(1)/(23)` units
    B
    23 units
    C
    `(1)/(32)` units
    D
    32 units

  • The charge flowing through a resistance R varies with time t as Q = at - bt^(2) . The total heat produced in R is

    A
    `(a^(3) R)/(6 b)`
    B
    `(a^(3) R)/(3 b)`
    C
    `(a^(3) R)/(2 b)`
    D
    `(a^(3) R)/( b)`

  • Current flowing through a conducting wire is given by I = (1+ 2t) Where t is in seconds and current I is in amperes. The charge (in coulombs) flown through the resistor in the interval from t =0 to t =1 second is -

    A
    3
    B
    2
    C
    1
    D
    0

    • Similar Questions

    Explore conceptually related problems

    The charge passing through a conductor in a function of time and given as q = 2t ^2 - 4 t + 3 coulomb. Calculate (i) current though the conductor (ii) potential difference across it at t = 4 second. Given resistance of conductor is 4 ohm.

    Charge through a cross-section of a conductor is given by Q = ( 2t^(2) + 5t) C . Find the current through the conductor at the instant t = 2 s .

    The rate of flow of charge in a circuit is called electric current. In other words, it is the amount of charge flowing per second. It is denoted by the letter I. If Q is the charge which is flowing through a conductor in time t, then current is given by i = Q/t Unit of current: The S.I unit of current is ampere and it is denoted by the letter 'A'. The S.I unit of Q is coulomb and that oft is second. Thus, the S.I unit of electric current is ("1 coulomb")/("1 second") = 1A How much time is required for 10 coulombs of charge to flow past a point if the rate of flow (current) is 2 amperes?

    The rate of flow of charge in a circuit is called electric current. In other words, it is the amount of charge flowing per second. It is denoted by the letter I. If Q is the charge which is flowing through a conductor in time t, then current is given by i = Q/t Unit of current: The S.I unit of current is ampere and it is denoted by the letter 'A'. The S.I unit of Q is coulomb and that oft is second. Thus, the S.I unit of electric current is ("1coulomb")/("1 second") = 1A How much current must there be in a circuit if 100 coulombs flow past a point in the circuit in 4 seconds?

    The rate of flow of charge in a circuit is called electric current. In other words, it is the amount of charge flowing per second. It is denoted by the letter I. If Q is the charge which is flowing through a conductor in time t, then current is given by i = Q/t Unit of current: The S.I unit of current is ampere and it is denoted by the letter 'A'. The S.I unit of Q is coulomb and that oft is second. Thus, the S.I unit of electric current is ("1 coulomb")/("1 second") = 1A If there is a current of 10 amperes in a circuit for 10 minutes, what quantity of electric charge flows in through the circuit?

    Home
    Profile