JEE Main 202324 JanuaryEvening Shift

Exam: JEE Main
Year: 2023
Date: 24 January
Shift: Evening Shift
Subject: Physics
Chapter: Magnetic Effects of Current

JEE Main 2023 · 24 January · Evening Shift · Physics · Magnetic Effects of Current

A long solenoid is formed by winding 70 turns cm ^ - 1 . If 2 . 0A...

A long solenoid is formed by winding $70$ turns ${cm}^{- 1}$ . If $2 . 0A$ current flows, then the magnetic field produced inside the solenoid is ______________.

$( {µ}_{0} = 4\pi \times {10}^{– 7}Tm{A}^{– 1} )$

Options

A $1232 \times {10}^{– 4}T$
B $176 \times {10}^{– 4}T$
C $352 \times {10}^{– 4}T$
D $88 \times {10}^{– 4}T$

Correct answer

B. $176 \times {10}^{– 4}T$

Step-by-step solution

Magnetic field inside solenoid $= {\mu}_{o}ni$

where $n =$ Number of turns per unit length

$n = 7000$ turns/m

${B}_{\text{solenoid}} = {\mu}_{o}ni = 4\pi \times {10}^{- 7} \times 7000 \times 2$

$= 8 \times \dfrac{22}{7} \times {10}^{- 6} \times 7 \times 100$

$= 176 \times {10}^{- 4}T$

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