A long solenoid is fabricated to closely winding wire of radius 0.5,mm over a cylindrical frame so that the successive turns nearly touch each other,

Q: A long solenoid is fabricated to closely winding wire of radius $0.5\,mm$ over a cylindrical frame so that the successive turns nearly touch each other, the magnetic field at the centre of solenoid if it carries a current of $5\,A$

b $\Rightarrow \quad \mathrm{B}=\mu_{0} \frac{\mathrm{N}}{\mathrm{L}} \times \mathrm{I}$ $\mathrm{N} \times 2 \mathrm{r}=\mathrm{L} \quad(\mathrm{r}=\text { radius of wire })$ so $\frac{\mathrm{N}}{\mathrm{L}}=\frac{1}{2 \mathrm{r}}$ $\Rightarrow \quad B=\frac{\mu_{0} I}{2 r}$ $B=\frac{4 \pi \times 10^{-7} \times 5 \times 10^{3}}{2 \times 0.5}$ $\mathrm{B}=20 \pi \times 10^{-4}\, \mathrm{T}$ $\mathrm{B}=2 \pi \times 10^{-3} \,\mathrm{T}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A long solenoid is fabricated to closely winding wire of radius $0.5\,mm$ over a cylindrical frame so that the successive turns nearly touch each other, the magnetic field at the centre of solenoid if it carries a current of $5\,A$

A$2\pi \, \times \,{10^{ - 2}}\,T$
B$2\pi \, \times \,{10^{ - 3}}\,T$
C$2\pi \, \times \,{10^{ - 4}}\,T$
D$2\pi \, \times \,{10^{ - 5}}\,T$

Medium

STD 11 Science
NEET
STD 12 - 4. Moving charges and magnetism
Physics

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