TS EAMCET · Physics · Magnetic Effects of Current
Two infinitely long thin wires are placed at \((1 \mathrm{~cm}, 0 \mathrm{~cm})\) and \((2 \mathrm{~cm}, 0 \mathrm{~cm})\) as shown in the figure.
The same current \(i\) flows in both the wires in the same direction, say, into the page. Let the magnetic field at the origin due to these wires is \(\overrightarrow{\mathrm{B}}\). If \(\mathrm{B}_0\) is the magnitude of the magnetic field if only the wire at \((1 \mathrm{~cm}, 0 \mathrm{~cm})\) was present, then the value of \(\mathrm{B} / \mathrm{B}_0\) is
- A \(3 / 2\)
- B \(2 / 3\)
- C \(1 / 2\)
- D 2
Answer & Solution
Correct Answer
(A) \(3 / 2\)
Step-by-step Solution
Detailed explanation
\(\overline{\mathrm{B}}=\frac{\mu_0 \mathrm{i}}{2 \pi}\left[\frac{1}{10^{-2}}+\frac{1}{2 \times 10^{-2}}\right] \hat{\mathrm{j}}\) \[ =2 \times 10^{-7} \times \mathrm{i} \times 150 \hat{\mathrm{j}} \] and,…
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