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TS EAMCET · Physics · Magnetic Effects of Current

Two infinite wires carrying opposite electrical currents \(I\) and \(i\) are placed a distance \(x\) apart. A point \(P\) at a distance \(y\) away from the wire carrying current \(i\) is shown in the figure. If the magnetic field is zero at point \(P\), then the magnitude of \(i\) is

  1. A \(l\left(\frac{x}{x+y}\right)\)
  2. B \(\prime\left(\frac{2 x}{x+y}\right)\)
  3. C \(I\left(\frac{y}{x+y}\right)\)
  4. D \(\left(\frac{2 y}{x+y}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(I\left(\frac{y}{x+y}\right)\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the following figure Magnetic field at point \(P\) due to the wire having current \(I\) is given as \(B_I=\frac{\mu_0}{2 \pi} \cdot \frac{I}{x+y}\) (downward) Magnetic field at point \(P\) due to the wire having current \(i\) is given as…
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