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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2014 · Physics · Magnetic Effects of Current

Two parallel long wires A and B carry currents i_1 and i_2( < i_1)...

Two parallel long wires AA and BB carry currents i1i_1 and i2(<i1)i_2\left( < i_1\right). When i1i_1 and i2i_2 are in the same direction, the magnetic field at a point mid way between the wires is 10μT10 \mu \mathrm{T}. If i2i_2 is reverse the field becomes 30μT30 \mu \mathrm{T}. The ratio i1/i2i_1 / i_2 is

Options

  1. A11
  2. B22
  3. C33
  4. D44

Correct answer

B. 22

Step-by-step solution

μ04π2i1r−μ04π2i2r=10μT\frac{\mu_0}{4 \pi} \frac{2 i_1}{r}-\frac{\mu_0}{4 \pi} \frac{2 i_2}{r}=10 \mu \mathrm{T} μ04π2i1r+μ04π2i2r=30μT\frac{\mu_0}{4 \pi} \frac{2 i_1}{r}+\frac{\mu_0}{4 \pi} \frac{2 i_2}{r}=30 \mu \mathrm{T} On solving i1=20 Ai_1=20 \mathrm{~A} and i2=10 A.∴i1/i2=2i_2=10 \mathrm{~A} . \therefore i_1 / i_2=2
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