WBJEE · Physics · Magnetic Effects of Current
Consider two infinitely long wires parallel to Z-axis carrying same current I in the positive Z direction. One wire passes through the point \(L\) at coordinates \((-1,+1)\) and the other wire passes through the point \(M\) at coordinates \((-1,-1)\). The resultant magnetic field at the origin \(\mathrm{O}\) will be
- A \(\frac{\mu_{0} I}{2 \sqrt{2 \pi}} \hat{\mathrm{j}}\)
- B \(\frac{\mu_{0} I}{2 \pi} \hat{j}\)
- C \(\frac{\mu_{0} \mathrm{I}}{2 \sqrt{2 \pi}} \hat{\mathrm{i}}\)
- D \(\frac{\mu_{0} I}{4 \pi} \hat{j}\)
Answer & Solution
Correct Answer
(B) \(\frac{\mu_{0} I}{2 \pi} \hat{j}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{B}_{\text {net }}=\sqrt{2} \mathrm{~B}\) where \(\mathrm{B}=\frac{\mu_{0} \mathrm{I}}{2 \pi \mathrm{r}}\) \(\mathrm{B}_{\text {net }}=\frac{\mu_{0} \mathrm{I}}{2 \pi \mathrm{r}} \sqrt{2} \hat{\mathrm{j}}\)…
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