A current through a wire depends on time as i = α 0 t + β t 2 , where α 0 = 20   A   s - 1 and β = 8   A   s - 2 . Find the charge crossed through a section of the wire in 15   s .

Question

A current through a wire depends on time as i = &#945; 0 t + &#946; t 2 , where &#945; 0 = 20 &#160; A &#160; s - 1 and &#946; = 8 &#160; A &#160; s - 2 . Find the charge crossed through a section of the wire in 15 &#160; s .

Aicharya · Accepted Answer

i = 20 t + 8 t 2 i = d q d t &#8658; &#8747; d q = &#8747; i d t &#8658; q = &#8747; 0 15 20 t + 8 t 2 d t q = 20 t 2 2 + 8 t 3 3 0 15 q = 10 &#215; 15 2 + 8 15 3 3 q = 2250 + 9000 q = 11250 &#160; C

A current through a wire depends on time as i = α 0 t + β t 2 , where α 0 = 20   A &#160…

Solution

A current through a wire depends on time as i = &#945; 0 t + &#946; t 2 , where &#945; 0 = 20 &#160; A &#160…

Solution

A current through a wire depends on time as i = α 0 t + β t 2 , where α 0 = 20 A &#160…