The magnetic field of a given length of wire for a single turn coil at the centre is ' $B$ ' then, its value…

The magnetic field of a given length of wire for a single turn coil at the centre is ' $B$ ' then, its value for two turns coil for the same wire is:
  1. $\frac{B}{4}$
  2. $\frac{B}{2}$
  3. $4 B$
  4. $2 B$

Solution

Here $B_1=B=\frac{\mu_0 I}{2 R}$ $\begin{aligned} & B_2=\frac{\mu_0(2 \mathrm{I})}{2 r} \\ & \therefore 2 \times 2 \pi r=2 \pi R \Rightarrow r=R / 2 \end{aligned}$
So, $B_2 = 4 B$

Asked in: NEET 2002

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