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COMEDK · Physics · 21. Magnetic Effects of Current

A wire of length \(2 \mathrm{~m}\) carries a current of \(1 \mathrm{~A}\) along the \(\mathrm{x}\) axis. A magnetic field \(B=B_0(i+j+k)\) tesla exists in space.
The magnitude of magnetic force on the wire is

  1. A 3B\(_0\) N
  2. B Zero
  3. C 2B\(_0\) N
  4. D 2\(\sqrt2\)B\(_0\) N
Verified Solution

Answer & Solution

Correct Answer

(D) 2\(\sqrt2\)B\(_0\) N

Step-by-step Solution

Detailed explanation

The magnetic force on a current-carrying wire is given by the formula \(\vec{F} = I(\vec{L} \times \vec{B})\). The length vector \(\vec{L}\) of the wire is \(2\hat{i}\) m, as it lies along the x-axis and has a length of \(2\) m. The current \(I\) is \(1\) A. The magnetic field…