PYQ Vault
EbooksTutor

Charge that flows when the current varies with time

This type of question, asked 4 times: 2021 Paper 1, 29 Jan 2024, 1 Feb 2024, 4 Apr 2025. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 1

    10
    A current through a wire depends on time as i=α0t+βt2i=\alpha_{0}t+\beta t^{2} where α0=20 A/s\alpha_{0}= 20\text{ }A/s and β=8As−2\beta= 8As^{- 2}. Find the charge crossed through a section of the wire in 15 s15\text{ }s.

    Tap an option to check your answer.

  2. Question 2

    29 Jan 2024

    2
    The electric current through a wire varies with time as I=I0+βtI =I_{0}+ \beta t. where I0=20 AI_{0}= 20\text{ }A and β=3 A/s\beta = 3\text{ }A/s. The amount of electric charge crossed through a section of the wire in 20 s20\text{ }s is :

    Tap an option to check your answer.

  3. Question 3

    1 Feb 2024

    29
    The current in a conductor is expressed as I=3t2+4t3I= 3t^{2}+ 4t^{3}, where II is in Ampere and tt is in second. The amount of electric charge that flows through a section of the conductor during t=1t= 1 s to t=2 st = 2\text{ }s is ____ C.

  4. Question 4

    4 Apr 2025

    13
    Current passing through a wire as function of time is given as I(t)=0.02t+I\left( t \right)= 0.02t + 0.01 A0.01\text{ }A. The charge that will flow through the wire from t=1 st= 1\text{ }s to t=2 st= 2\text{ }s is :

    Tap an option to check your answer.