AP EAMCET · PHYSICS · Magnetic Effects of Current
Two infinitely long wires are placed at \((1 \mathrm{~cm}\), \(1 \mathrm{~cm})\) and \((+1 \mathrm{~cm},-1 \mathrm{~cm})\) with \(1 \mathrm{~A}\) current in each and in the same directions perpendicular to \(x y\)-plane. let the magnetic field due to these current carrying wires at the origin be \(\mathbf{B}\). If \(B_0\) is the magnitude of the field if only one of them was present. then \(\frac{|\mathbf{B}|}{B_0}\) is
- A \(\sqrt{2}\)
- B 1
- C \(1 / \sqrt{2}\)
- D \(1 / 2 \sqrt{2}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
The given situation is shown below Wires are located at position \(A\) and \(B\) \[ \begin{aligned} O A & =O B=\sqrt{1^2+1^2}=\sqrt{2} \mathrm{~cm} \\ & =\sqrt{2} \times 10^{-2} \mathrm{~m} \end{aligned} \] Magnitude of net magnetic field due to both wire having current…
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