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AP EAMCET · PHYSICS · Magnetic Effects of Current

Two infinitely long wires carry currents \(4 \mathrm{~A}\) and 3A placed along \(X\)-axis and \(Y\)-axis respectively. Magnetic field at a point \(P(0,0\), d) \(m\) will be ...... \(\mathrm{T}\).

  1. A \(\frac{4 \mu_0}{2 \pi d}\)
  2. B \(\frac{3 \mu_0}{2 \pi d}\)
  3. C \(\frac{7 \mu_0}{2 \pi d}\)
  4. D \(\frac{5 \mu_0}{2 \pi d}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{5 \mu_0}{2 \pi d}\)

Step-by-step Solution

Detailed explanation

Magnetic field at point \(P\) due to \(I_x\) \( \begin{aligned} \mathbf{B}_x & =\frac{\mu_0 I_x}{2 \pi d}(-Y \text {-direction }) \\ \text { or } \quad \mathbf{B}_x & =-\frac{\mu_0 \cdot 4}{2 \pi d} \hat{\mathbf{j}} \end{aligned} \) Similarly, magnetic field at point \(P\) due…
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