T h e space c u r r e n t space t h r o u g h space a space w i r e space d e p e n d s space o n space t i m e space a s space I space equals space I subscript 0 space plus space alpha space t space w h e r e space I subscript 0 space equals space 10 space A space a n d space alpha space equals space 4 space A s to the power of negative 1 space end exponent space. space F i n d space space c h a r g e space t h a t f l o w s space a c r o s s space space a space s e c t i o n space o f space w i r e space i n space 10 space s e c.
                                                                                                                  [ ans =300C]

Asked by yash.bisht9910 | 29th May, 2015, 07:55: PM

Expert Answer:

begin mathsize 14px style Given space straight I space equals straight I subscript 0 plus αt straight I subscript 0 equals 10 space straight A straight alpha space equals 4 space straight A divided by straight s rightwards double arrow straight I equals 10 space plus 4 straight t We space know space that space straight I space equals dQ over dt dQ equals straight I space dt straight Q equals integral space straight I space dt straight Q space equals integral subscript 0 superscript 10 open parentheses 10 space plus 4 straight t close parentheses dt straight Q equals scriptbase open square brackets 10 straight t plus fraction numerator 4 straight t squared over denominator 2 end fraction close square brackets end scriptbase presubscript 0 presuperscript 10 straight Q equals scriptbase open square brackets 10 straight t plus 2 straight t squared close square brackets end scriptbase presubscript 0 presuperscript 10 straight Q equals open parentheses 10 cross times 10 plus 2 cross times 100 close parentheses straight Q equals 100 plus 200 straight Q equals 300 space straight C end style
The charge that flows across a section of wire in 10 sec = 300C

Answered by Jyothi Nair | 31st May, 2015, 10:41: AM