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JIPMER 2010
Exam
JIPMER
Year
2010
Subject
Physics
Chapter
Magnetic Effects of Current

JIPMER 2010 · Physics · Magnetic Effects of Current

An electric current passes through a long straight copper wire. At...

An electric current passes through a long straight copper wire. At a distance 5 cm from the straight wire, the magnetic field is BB. The magnetic field at 20 cm from the straight wire would be

Options

  1. AB6\frac{B}{6}
  2. BB4\frac{B}{4}
  3. CB3\frac{B}{3}
  4. DB2\frac{B}{2}

Correct answer

B. B4\frac{B}{4}

Step-by-step solution

The magnetic field at a distance rr from the straight wire B=μ0i2πr or B∝1r or B2B1=r1r2∴B2B=520=14 or B2=B4\begin{aligned} & B & =\frac{\mu_0 i}{2 \pi r} \text{ or } B \propto \frac{1}{r} \text{ or } \frac{B_2}{B_1}=\frac{r_1}{r_2} \\ \therefore \quad & \frac{B_2}{B} & =\frac{5}{20}=\frac{1}{4} \text{ or } B_2=\frac{B}{4} \end{aligned}
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