Question

1.
Charge Q passing through a cross-section of conductor at an instant is given by Q = (0.5 t+ t)C where t is in
second. Current through the conductor at t = 1 s is
(1) Zero
(2) 1 A
(3) 2A
(4) –1 A​

Answer 1

Answer:

2A

Explanation:

i=dq/dt

d(0.5t^2+t)/dt

=2×0.5t+1

=1t+t

at t=1

I=1t+1

=1×1+1

=1+1

=2A

Answer 2

The current flowing through the conductor at t = 1 s is 2 A.

Explanation:

Given that,

Charge Q passing through a cross-section of conductor at an instant is given by :

$Q=(0.5t+t)\ C$

Nut it should be,

$Q=(0.5t^2+t)\ C$

Here,

t is in seconds

We need to find the current flowing through the conductor. The rate of change of electric charge is called electric current. It is given by :

$I=\dfrac{dQ}{dt}$

$I=\dfrac{d(0.5t^2+t)}{dt}$

$I=(1t+1)\ A$

At t = 1 s,

Current,

$I=(1(1)+1)\ A$

I = 2 A

So, the current flowing through the conductor is 2 A. Hence, this is the required solution.

Learn more

Electric current

https://brainly.in/question/14816757