A rectangular loop of side a and b has a resistance R and lies at a distance c from an infinite straight wire carrying current $I_{0}$ The current decreases to zero in time $t_{0}$ .
$I (t) = I_{0} (\frac{t_{0} - t}{t_{0}}) 0 < t < t_{0}$ . The charge flowing through the rectangular loop is

$μ_{0} l_{0} t_{0}$
$μ_{0} l_{0} \frac{a b}{c^{2}} t_{0}$
$\frac{μ_{0} b l_{0}}{2 π R} ln ∣ ∣ ∣ \frac{a + c}{c} ∣ ∣ ∣$
$\frac{μ_{0} l_{0} t_{0}}{R} ln (\frac{a b}{c^{2}})$

Question

A rectangular loop of side a and b has a resistance R and lies at a distance c from an infinite straight wire carrying current $I_{0}$ The current decreases to zero in time $t_{0}$ .
$I (t) = I_{0} (\frac{t_{0} - t}{t_{0}}) 0 < t < t_{0}$ . The charge flowing through the rectangular loop is

$μ_{0} l_{0} t_{0}$
$μ_{0} l_{0} \frac{a b}{c^{2}} t_{0}$
$\frac{μ_{0} b l_{0}}{2 π R} ln ∣ ∣ ∣ \frac{a + c}{c} ∣ ∣ ∣$
$\frac{μ_{0} l_{0} t_{0}}{R} ln (\frac{a b}{c^{2}})$

Toppr Admin · Accepted Answer