A wire carrying a current i is placed in a magnetic field in the form of the curve y=a sin ((π x/L)) 0 ≤ x ≤ 2 L. Force acting on the wire is

Question

A wire carrying a current i is placed in a magnetic field in the form of the curve y=a sin ((π x/L)) 0 ≤ x ≤ 2 L. Force acting on the wire is (A) (i B L/π) (B) i B L π (C) 2 i B L (D) Zero

Tardigrade Admin · Accepted Answer

| vecI|=2 L Now, using F= ilB =i(2 L) B

Q. A wire carrying a current $i$ is placed in a magnetic field in the form of the curve $y = a sin (\frac{π x}{L}) 0 \leq x \leq 2 L$ . Force acting on the wire is

$\frac{i B L}{π}$

$i B L π$

$2 i B L$

Zero

$∣ I ∣ = 2 L$
Now, using $F =$ ilB
$= i (2 L) B$

Q. A wire carrying a current i is placed in a magnetic field in the form of the curve y=asin(Lπx​)0≤x≤2L. Force acting on the wire is

πiBL​

iBLπ

2iBL