# NEET Physics Current Electricity Questions Solved

The current in a conductor varies with time t as $I=2t+3{t}^{2}$ where I is in ampere and t in seconds. Electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is

(1) 10 C

(2) 24 C

(3) 33 C

(4) 44 C

(2) dQ = Idt $Q={\int }_{t=2}^{t=3}\text{\hspace{0.17em}}Idt=\left[2\underset{2}{\overset{3}{\int }}tdt+3\underset{2}{\overset{3}{\int }}{t}^{2}dt\right]$

= ${\left[{t}^{2}\right]}_{2}^{3}+{\left[{t}^{3}\right]}_{2}^{3}$= (9 – 4) + (27 – 8) = 5 + 19 = 24C

Difficulty Level:

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