CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is $$d (>>a)$$. If the loop applies a force $$F$$ on the wire then :
1330480_be3b7f0690fd4b69902c312465c996f3.png


A
F(a2d3)
loader
B
F(ad)
loader
C
F(ad)2
loader
D
F=0
loader

Solution

The correct option is A $$F \propto \left(\dfrac{a}{d}\right)^2$$
Eqvilent dipole of given loop
$$F = m \cdot \dfrac{dB}{dr}$$
Now, $$\dfrac{dB}{dx} = \dfrac{d}{dx} \left(\dfrac{\mu_0I}{2\pi x}\right)$$
$$\propto \dfrac{1}{x^2}$$
$$\Rightarrow$$ So $$F \propto \dfrac{M}{x^2} [\therefore M = NIA]$$ 
$$F \propto \dfrac{a^2}{d^2}$$
1142275_1330480_ans_94034361c64246e98dbcb3af23fdca8d.PNG

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image