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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Physics
Chapter
Magnetic Effects of Current

BITSAT 2012 · Physics · Magnetic Effects of Current

A horizontal overhead powerline is at height of 4 ~m from the...

A horizontal overhead powerline is at height of 4 m4 \mathrm{~m} from the ground and carries a current of 100 A100 \mathrm{~A} from east to west. The magnetic field directly below it on the ground is (μ0=4π×10−7TmA−1)\left(\mu_{0}=4 \pi \times 10^{-7} \mathrm{Tm} \mathrm{A}^{-1}\right)A horizontal overhead powerline is at height of 4 ~m from the ground and carries a current of 100 ~A from east to west.

Options

  1. A2.5×10−7T2.5 \times 10^{-7} \mathrm{ T} southward
  2. B5×10−65 \times 10^{-6} T northward
  3. C5×10−6T5 \times 10^{-6} \mathrm{ T} southward
  4. D2.5×10−72.5 \times 10^{-7} T northward

Correct answer

C. 5×10−6T5 \times 10^{-6} \mathrm{ T} southward

Step-by-step solution

The magnetic field is \mathrm{B}=\frac{\mu_{0}}{4 \pi} \frac{2\mathrm{I}}{\mathrm{r}}=10^{-7} \times \frac{2 \times 100}{4}=5 \times 10^{-6} \mathrm{ T} A horizontal overhead powerline is at height of 4 ~m from the ground and carries a current of 100 ~A from east to west.
According to right hand palm rule, the magnetic field is directed towards south.
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