Determine the total magnetic flux through the rectangular loop shown in the figure. The source of the magnetic field is the long straight conductor carrying a current I.

there is no information about length of the conductor.

so I taken it is of infinite length.

B at distance r form the conductor is given by uI/2
r ( infinite current carrying conductor).

Flux=intg(B.dA)

=intg(μI/2πrdLdr)

B is content wrt L so

=LμI/2π intg((1/r)dr)

=LμI/2π*log(r2/r1)

but I'm not confident since the it differs form answer given in the book.

This is the book answer!

there is no information about length of the conductor.

so I taken it is of infinite length.

B at distance r form the conductor is given by uI/2

Flux=intg(B.dA)

=intg(μI/2πrdLdr)

B is content wrt L so

=LμI/2π intg((1/r)dr)

=LμI/2π*log(r2/r1)

but I'm not confident since the it differs form answer given in the book.

This is the book answer!

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