Question

Try Yourselt
Charge through a cross-section of a conductor is given by Q = 512 - 2t coulomb. Find the
average current through the conductor in the interval t, = 2 s to tz = 4 s.
(1) 14 A
(2) 28 A
(3) 56 A
(4) 7A​

Answer 1

Answer:

Q(t) = 5t² - 2t

We have to find out current in time interval 2 to 4 sec

So, use formula , i = [Q(t₂) - Q(t₁) ]/(t₂ - t₁)

Q(t₂) = Q(4) = 5(4)² - 2(4) = 80 - 8 = 72

Q(t₁) = Q(2) = 5(2)² - 2(2) = 20 - 4 = 16

so, current , i = (72 - 16)/(4 - 2) = 56/2 = 28 Ampere .

Hence, current through the conductor in 2 to 4 sec is 28 Ampere