A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ =3 x , PR = 4 x and QR =5 x. If the magnitude of the magnetic field at P due to this loop is k ((μ0 I /48 π x )), find the value of k .

Question

A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ =3 x , PR = 4 x and QR =5 x. If the magnitude of the magnetic field at P due to this loop is k ((μ0 I /48 π x )), find the value of k . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/2c4e676b94114f671550573f1037ee12-.png" /> B =(μ0 I /4 π (12 x )5)[ cos 53°+ cos 37°] =7((μφ I /48 π x )) k =7

Q. A steady current $I$ goes through a wire loop $PQR$ having shape of a right angle triangle with $PQ = 3 x, PR =$ $4 x$ and $QR = 5 x$ . If the magnitude of the magnetic field at $P$ due to this loop is $k (\frac{μ _{0} I}{48 π x})$ , find the value of $k .$

$B = \frac{μ _{0} I}{4 π \frac{12 x}{5}} [cos 5 3^{\circ} + cos 3 7^{\circ}]$
$= 7 (\frac{μ _{ϕ} I}{48 π x})$
$k = 7$

Q. A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ=3x,PR= 4x and QR=5x. If the magnitude of the magnetic field at P due to this loop is k(48πxμ0​I​), find the value of k.

B=4π512x​μ0​I​[cos53∘+cos37∘] =7(48πxμϕ​I​) k=7

Q. A steady current $I$ goes through a wire loop $PQR$ having shape of a right angle triangle with $PQ = 3 x, PR =$ $4 x$ and $QR = 5 x$ . If the magnitude of the magnetic field at $P$ due to this loop is $k (\frac{μ _{0} I}{48 π x})$ , find the value of $k .$

$B = \frac{μ _{0} I}{4 π \frac{12 x}{5}} [cos 5 3^{\circ} + cos 3 7^{\circ}]$
$= 7 (\frac{μ _{ϕ} I}{48 π x})$
$k = 7$