Magnetic Effects Of Current Question 453

Question: A conducting wire bent in the form of a parabola $ y^{2}=2x $ carries a current $ i=2A $ as shown in figure. This wire is placed in a uniform magnetic field $ \overset{\to }{\mathop{B}},=-4\hat{k} $ tesla. The magnetic force on the wire (in newton)

Options:

A) $ -16\hat{i} $

B) $ 32\hat{i} $

C) $ -32\hat{i} $

D) $ 16\hat{i} $

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Answer:

Correct Answer: B

Solution:

[b] At $ x=2 $ , $ y^{2}=2x=2\times 2 $ or $ y=2 $ Thus separation, $ AB=4,cm $ The force, $ F=Bi,(AB) $ $ =4\times 2\times 4=32,N. $