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Question: A current in a wire is given by the equation, ![](https://cdn.pureessence.tech/canvas_210.png?top_le...

A current in a wire is given by the equation, the charge through cross section of wire in time interval t = 3 s to t = 5 s is t = 5 s is

A

32.33 C

B

43.34 C

C

45.5 C

D

42 c

Answer

43.34 C

Explanation

Solution

: As

dQ = Idt

dQ = dt

=[23(5333)32(5232)+(53)]= \left[ \frac { 2 } { 3 } \left( 5 ^ { 3 } - 3 ^ { 3 } \right) - \frac { 3 } { 2 } \left( 5 ^ { 2 } - 3 ^ { 2 } \right) + ( 5 - 3 ) \right]