A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A . The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4\pi \times 10^{-7}SI$  units):

<p><span lang="EN-IN">The magnitude of magnetic field due to circular coil of <span contenteditable="false"> <math> <mrow> <mi>N</mi> </mrow> </math> </span>&nbsp;turns is given by</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>B</mi> </mrow> <mrow> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mrow> <mi>μ</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>i</mi> <mi>N</mi> </mrow> <mrow> <mn>2</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </math> </span><br>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <mi>π</mi> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>7</mn> </mrow> </msup> <mo>×</mo> <mn>7</mn> <mo>×</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> <mrow> <mn>2</mn> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </math> </span><br>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow><mo>=</mo><mn>4</mn><mo>.</mo><mn>4</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup>&nbsp;T</mrow> </math> </span><br>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow><mo>=</mo><mn>4</mn><mo>.</mo><mn>4</mn>mT</mrow> </math> </span><br>&lt;!--- [endif]---&gt;&lt;!--- [if gte mso 9]--&gt; &lt;!-- [endif]---&gt;</span></p>

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