Q. 43.8( 5 Votes )

# The current through a wire depends on time as

i = i_{0} + αt,

Where i_{0} = 10 A and α = 4 As^{–1}. Find the charge crossed through a section of the wire in 10 seconds.

Answer :

300C

Given,

The expression of current through the wire is

i = i_{0} + αt

where i_{0}=10A, time for which current passes, t= 10s, and a=4 As^{–1}

Formula Used:

For a given current i, the charge q is expressed as

Solution,

For the given expression of current, charge q is,

Or,

On integration,

By substituting the given values,

Hence, the charge crossed through a section of the wire in 10 seconds is 300C.

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