AP EAMCET · PHYSICS · Magnetic Effects of Current
An infinitely long wiré carrying 1 A current in the \(+z\) direction is placed at \((1 \mathrm{~cm}, 1 \mathrm{~cm})\). Another wire carrying \(1 \mathrm{~A}\) in \(+x\) direction is placed at \(y=1 \mathrm{~cm}\). If the magnetic field due to this configuration at the origin is \(\mathbf{B}\). Let \(B_0\) be the magnitude of the field if only the wire at \((1 \mathrm{~cm}, 1 \mathrm{~cm})\) was present, then \(\frac{\mathbf{B}}{B_0}\) is
- A \(\left(\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}},-\sqrt{2}\right)\)
- B \(\left(\frac{1}{2}, \frac{1}{2},-1\right)\)
- C \((\sqrt{2}, \sqrt{2},-\sqrt{2})\)
- D \(\left(\frac{1}{2 \sqrt{2}}, \frac{1}{2 \sqrt{2}},-\frac{1}{2}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}},-\sqrt{2}\right)\)
Step-by-step Solution
Detailed explanation
Given arrangement is shown below Distance of conductor I from origin, is \( \begin{aligned} & d=\sqrt{x^2+y^2}=\sqrt{1+1} \\ \Rightarrow \quad & d=\sqrt{2} \mathrm{~cm}=\sqrt{2} \times 10^{-2} \mathrm{~m} \end{aligned} \) Magnetic field due to wire Iat origin is…
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