Question

Q-ᴀ ᴄɪʀᴄᴜʟᴀʀ ᴄᴏɪʟ ᴏғ ᴡɪʀᴇ ᴄᴏɴsɪsᴛɪɴɢ ᴏғ 100 ᴛᴜʀɴs, ᴇᴀᴄʜ ᴏғ ʀᴀᴅɪᴜs 8.0 ᴄᴍ ᴄᴀʀʀɪᴇs ᴀ ᴄᴜʀʀᴇɴᴛ ᴏғ 0.40 ᴀ. ᴡʜᴀᴛ ɪs ᴛʜᴇ ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ᴛʜᴇ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ʙ ᴀᴛ ᴛʜᴇ ᴄᴇɴᴛʀᴇ ᴏғ ᴛʜᴇ ᴄᴏɪʟ?​

Answer 1

Answer:

3.14×10‐⁴T

Explanation:

Number of turns on the circular coil, n = 100

Radius of each turn, r = 8.0 cm = 0.08 m

Current flowing in the coil, I = 0.4 A

Magnitude of the magnetic field at the centre of the coil is given by the relation,

| B | = μ0 2πnI / 4π r

Where,

μ0 = Permeability of free space

= 4π × 10–7 T m A–1

| B | = 4π x 10-7 x 2π x 100 x 0.4 / 4π x 0.08

= 3.14 x 10-4 T

Hence, the magnitude of the magnetic field is 3.14 × 10–4 T.