Question

to study the dependence of potential difference (V) across a resistor on the current (I) passing through it and determine it's resistance. Also plotting a graph between V and I


need complete answer with diagram and graph both​

Answer 1

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ᴀɪᴍ

ᴛᴏ sᴛᴜᴅʏ ᴛʜᴇ ᴅᴇᴘᴇɴᴅᴇɴᴄᴇ ᴏғ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ (ᴠ) ᴀᴄʀᴏss ᴀ ʀᴇsɪsᴛᴏʀ ᴏɴ ᴛʜᴇ ᴄᴜʀʀᴇɴᴛ (ɪ) ᴘᴀssɪɴɢ ᴛʜʀᴏᴜɢʜ ɪᴛ ᴀɴᴅ ᴅᴇᴛᴇʀᴍɪɴᴇ ɪᴛs ʀᴇsɪsᴛᴀɴᴄᴇ. ᴀʟsᴏ ᴘʟᴏᴛ ᴀ ɢʀᴀᴘʜ ʙᴇᴛᴡᴇᴇɴ ᴠ ᴀɴᴅ ɪ.

ᴛʜᴇᴏʀʏ

ᴏʜᴍ’s ʟᴀᴡ: ᴛʜᴇ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ, ᴠ ᴀᴄʀᴏss ᴛʜᴇ ᴇɴᴅs ᴏғ ᴀ ɢɪᴠᴇɴ ᴍᴇᴛᴀʟʟɪᴄ ᴡɪʀᴇ ɪɴ ᴀɴ ᴇʟᴇᴄᴛʀɪᴄ ᴄɪʀᴄᴜɪᴛ ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴛʜᴇ ᴄᴜʀʀᴇɴᴛ ғʟᴏᴡɪɴɢ ᴛʜʀᴏᴜɢʜ ɪᴛ, ᴘʀᴏᴠɪᴅᴇᴅ ɪᴛs ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ɪs ᴛʜᴇ sᴀᴍᴇ. ᴛʜɪs ɪs ᴏʜᴍ’s ʟᴀᴡ.

ᴠ ∝ ɪ

.’. ᴠ = ɪʀ, (ʜᴇʀᴇ ʀ = ᴄᴏɴsᴛᴀɴᴛ ғᴏʀ ᴛʜᴇ ɢɪᴠᴇɴ ᴍᴇᴛᴀʟʟɪᴄ ᴡɪʀᴇ)

ᴛʜᴇ sɪ ᴜɴɪᴛ ᴏғ ʀᴇsɪsᴛᴀɴᴄᴇ ɪs ᴏʜᴍ (ω).

ʀ= ᴠ / ɪ

ᴏɴᴇ ᴏʜᴍ: ɪғ ᴛʜᴇ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ ᴀᴄʀᴏss ᴛʜᴇ ᴇɴᴅs ᴏғ ᴀ ᴄᴏɴᴅᴜᴄᴛᴏʀ ɪs 1 ᴠᴏʟᴛ ᴀɴᴅ ᴛʜᴇ ᴄᴜʀʀᴇɴᴛ ғʟᴏᴡɪɴɢ ᴛʜʀᴏᴜɢʜ ɪᴛ ɪs 1 ᴀᴍᴘᴇʀᴇ, ᴛʜᴇɴ ᴛʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ᴛʜᴇ ᴄᴏɴᴅᴜᴄᴛᴏʀ ʀ ɪs 1 ᴏʜᴍ.

ғᴀᴄᴛᴏʀs ᴀғғᴇᴄᴛɪɴɢ ʀᴇsɪsᴛᴀɴᴄᴇ:

ᴛʜᴇ ɴᴀᴛᴜʀᴇ ᴏғ ʀᴇsɪsᴛᴏʀ (ᴀ ᴄᴏɴᴅᴜᴄᴛᴏʀ ʜᴀᴠɪɴɢ sᴏᴍᴇ ʀᴇsɪsᴛᴀɴᴄᴇ.)

ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ. (ʀ ∝ ʟ)

(ʀᴇsɪsᴛᴀɴᴄᴇ ɪɴᴄʀᴇᴀsᴇs ᴀs ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴡɪʀᴇ ɪs ɪɴᴄʀᴇᴀsᴇᴅ)

ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴄʀᴏss-sᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ʀᴇsɪsᴛᴏʀ. ʀ ∝ 1/ᴀ

(ʀᴇsɪsᴛᴀɴᴄᴇ ᴅᴇᴄʀᴇᴀsᴇs ᴡɪᴛʜ ᴛʜᴇ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛʜᴇ ᴄʀᴏss-sᴇᴄᴛɪᴏɴ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴡɪʀᴇ)

ɪɴ ᴀ ᴄɪʀᴄᴜɪᴛ ᴀᴍᴍᴇᴛᴇʀ ɪs ᴀʟᴡᴀʏs ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ sᴇʀɪᴇs ᴀɴᴅ ᴠᴏʟᴛᴍᴇᴛᴇʀ ɪs ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ ᴘᴀʀᴀʟʟᴇʟ ᴀᴄʀᴏss ᴛʜᴇ ᴘᴏɪɴᴛs ʙᴇᴛᴡᴇᴇɴ ᴡʜɪᴄʜ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs ᴛᴏ ʙᴇ ᴍᴇᴀsᴜʀᴇᴅ.

ᴀ sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ɢʀᴀᴘʜ ᴏʙᴛᴀɪɴᴇᴅ ʙᴇᴛᴡᴇᴇɴ ᴠ ᴀɴᴅ ɪ ᴠᴇʀɪғɪᴇs ᴛʜᴇ ᴏʜᴍ’s ʟᴀᴡ.

ʟᴇᴀsᴛ ᴄᴏᴜɴᴛ: ɪᴛ ɪs ᴠᴇʀʏ ɪᴍᴘᴏʀᴛᴀɴᴛ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ʟᴇᴀsᴛ ᴄᴏᴜɴᴛ ᴏғ ᴀᴍᴍᴇᴛᴇʀ ᴀɴᴅ ᴠᴏʟᴛᴍᴇᴛᴇʀ ʙᴇғᴏʀᴇ ᴜsɪɴɢ ᴛʜᴇᴍ.

ɪғ ɪɴ ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ, ᴛʜᴇʀᴇ ᴀʀᴇ 10 ᴅɪᴠɪsɪᴏɴs ғʀᴏᴍ 0 ᴛᴏ 0.1 ᴀ ᴛʜᴇɴ ᴇᴀᴄʜ ᴅɪᴠɪsɪᴏɴ ɪɴᴅɪᴄᴀᴛᴇs 0.01 ᴀ.

ᴍᴀᴛᴇʀɪᴀʟs ʀᴇǫᴜɪʀᴇᴅ

ᴀ ʙᴀᴛᴛᴇʀʏ, ᴀɴ ɪɴsᴜʟᴀᴛᴇᴅ ᴄᴏᴘᴘᴇʀ ᴡɪʀᴇ (ᴄᴜᴛ ɪɴᴛᴏ 10 ᴘɪᴇᴄᴇs), ᴀ ᴋᴇʏ, ᴀɴ ᴀᴍᴍᴇᴛᴇʀ, ᴀ ᴠᴏʟᴛᴍᴇᴛᴇʀ, ᴀ ʀʜᴇᴏsᴛᴀᴛ, ᴀ ʀᴇsɪsᴛᴏʀ ᴀɴᴅ ᴀ ᴘɪᴇᴄᴇ ᴏғ sᴀɴᴅ ᴘᴀᴘᴇʀ.

ᴘʀᴏᴄᴇᴅᴜʀᴇ

ᴋᴇᴇᴘ ᴛʜᴇ ᴅᴇᴠɪᴄᴇs ᴀs sʜᴏᴡɴ ɪɴ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ ᴅɪᴀɢʀᴀᴍ.

ᴄᴏɴɴᴇᴄᴛ ᴛʜᴇᴍ ᴡɪᴛʜ ᴛʜᴇ ᴄᴏɴɴᴇᴄᴛɪɴɢ ᴡɪʀᴇs ᴀɴᴅ ᴋᴇᴇᴘ ᴛʜᴇ ᴋᴇʏ ᴏᴘᴇɴ.

ᴘᴏsɪᴛɪᴠᴇ ᴛᴇʀᴍɪɴᴀʟ ᴏғ ᴛʜᴇ ʙᴀᴛᴛᴇʀʏ ɪs ᴄᴏɴɴᴇᴄᴛᴇᴅ ᴛᴏ ᴛʜᴇ ᴘᴏsɪᴛɪᴠᴇ ᴛᴇʀᴍɪɴᴀʟ ᴏғ ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ.

ᴄʜᴇᴄᴋ ᴛʜᴇ +ᴠᴇ ᴀɴᴅ -ᴠᴇ ᴛᴇʀᴍɪɴᴀʟs ᴏғ ᴠᴏʟᴛᴍᴇᴛᴇʀ ʙᴇғᴏʀᴇ ᴄᴏɴɴᴇᴄᴛɪɴɢ ɪᴛ ɪɴ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ.

ᴏɴᴄᴇ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ ɪs ᴄᴏɴɴᴇᴄᴛᴇᴅ, ɪɴsᴇʀᴛ ᴛʜᴇ ᴋᴇʏ ᴀɴᴅ ᴄʜᴇᴄᴋ ᴛʜᴇ ʀʜᴇᴏsᴛᴀᴛ, ᴀᴅᴊᴜsᴛ ɪᴛs sʟɪᴅᴇʀ ᴀɴᴅ sᴇᴇ ᴡʜᴇᴛʜᴇʀ ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ ᴀɴᴅ ᴠᴏʟᴛᴍᴇᴛᴇʀ ʀᴇᴀᴅɪɴɢs ᴀʀᴇ sʜᴏᴡɴ.

ʙʏ ᴜsɪɴɢ ᴛʜᴇ sʟɪᴅᴇʀ ᴏғ ʀʜᴇᴏsᴛᴀᴛ ᴛᴀᴋᴇ ᴛʜʀᴇᴇ ᴅɪғғᴇʀᴇɴᴛ ʀᴇᴀᴅɪɴɢs ᴏғ ᴄᴜʀʀᴇɴᴛ 1 ᴀɴᴅ ᴠᴏʟᴛᴍᴇᴛᴇʀ ᴠ.

ʀᴇᴄᴏʀᴅ ʏᴏᴜʀ ᴏʙsᴇʀᴠᴀᴛɪᴏɴs ɪɴ ᴛʜᴇ ᴏʙsᴇʀᴠᴀᴛɪᴏɴ ᴛᴀʙʟᴇ.

ᴄᴀʟᴄᴜʟᴀᴛᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ᴀ ɢɪᴠᴇɴ ʀᴇsɪsᴛᴏʀ ʙʏ ғᴏʀᴍᴜʟᴀ ʀ= ᴠ / ɪ

ᴘʟᴏᴛ ᴀ ɢʀᴀᴘʜ ᴏғ ᴠᴏʟᴛᴍᴇᴛᴇʀ ʀᴇᴀᴅɪɴɢ ᴀɴᴅ ᴄᴜʀʀᴇɴᴛ ʀᴇᴀᴅɪɴɢ. ᴏɴ x ᴀxɪs ᴛᴀᴋᴇ ᴠ ᴀɴᴅ ᴏɴ ʏ ᴀxɪs ᴛᴀᴋᴇ ɪ.

ʀᴇsɪsᴛᴀɴᴄᴇ ɪɴᴄʀᴇᴀsᴇs ᴡɪᴛʜ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ᴏғ ᴘᴜʀᴇ ᴍᴇᴛᴀʟs.

ᴄᴏɴᴄʟᴜsɪᴏɴs

ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ʀ ɪs ғᴏᴜɴᴅ ᴛᴏ ʙᴇ sᴀᴍᴇ ᴀɴᴅ ᴄᴏɴsᴛᴀɴᴛ ɪɴ ᴀʟʟ ᴛʜʀᴇᴇ ʀᴇᴀᴅɪɴɢs.

ᴛʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ᴀ ʀᴇsɪsᴛᴏʀ ɪs ʀᴀᴛɪᴏ ᴏғ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ ᴠ ᴀɴᴅ ᴄᴜʀʀᴇɴᴛ ɪ.

ᴛʜᴇ ɢʀᴀᴘʜ ᴏғ ᴠ ᴀɴᴅ ɪ ɪs ᴀ sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ. ᴛʜɪs sʜᴏᴡs ᴛʜᴀᴛ ᴠ∝ɪ. ᴛʜɪs ᴠᴇʀɪғɪᴇs ᴏʜᴍ’s ʟᴀᴡ.

ᴘʀᴇᴄᴀᴜᴛɪᴏɴs

ᴛʜᴇ ᴄᴏɴɴᴇᴄᴛɪɴɢ ᴡɪʀᴇs sʜᴏᴜʟᴅ ʙᴇ ᴛʜɪᴄᴋ ᴄᴏᴘᴘᴇʀ ᴡɪʀᴇs ᴀɴᴅ ᴛʜᴇ ɪɴsᴜʟᴀᴛɪᴏɴ ᴏғ ᴛʜᴇɪʀ ᴇɴᴅs sʜᴏᴜʟᴅ ʙᴇ ʀᴇᴍᴏᴠᴇᴅ ᴜsɪɴɢ ᴛʜᴇ sᴀɴᴅ ᴘᴀᴘᴇʀ.

ᴄᴏɴɴᴇᴄᴛɪᴏɴs sʜᴏᴜʟᴅ ʙᴇ ᴛɪɢʜᴛ ᴏᴛʜᴇʀᴡɪsᴇ sᴏᴍᴇ ᴇxᴛᴇʀɴᴀʟ ʀᴇsɪsᴛᴀɴᴄᴇ ᴍᴀʏ ɪɴᴛʀᴏᴅᴜᴄᴇ ɪɴ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ.

ᴄᴏɴɴᴇᴄᴛɪᴏɴs sʜᴏᴜʟᴅ ʙᴇ ᴍᴀᴅᴇ ᴀs ᴘᴇʀ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ. ʙᴇғᴏʀᴇ ᴄʟᴏsɪɴɢ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ sʜᴏᴡ ᴛʜᴇ ᴄᴏɴɴᴇᴄᴛɪᴏɴs ᴛᴏ ᴛʜᴇ ᴛᴇᴀᴄʜᴇʀ ᴛᴏ ᴛᴀᴋᴇ ᴛʜᴇ ʀᴇᴀᴅɪɴɢs.

ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ sʜᴏᴜʟᴅ ʙᴇ ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ sᴇʀɪᴇs ᴡɪᴛʜ ᴛʜᴇ ʀᴇsɪsᴛᴇʀ sᴜᴄʜ ᴛʜᴀᴛ ᴛʜᴇ ᴄᴜʀʀᴇɴᴛ ᴇɴᴛᴇʀs ᴀᴛ ᴛʜᴇ ᴘᴏsɪᴛɪᴠᴇ ᴛᴇʀᴍɪɴᴀʟ ᴀɴᴅ ʟᴇᴀᴠᴇs ᴀᴛ ᴛʜᴇ ɴᴇɢᴀᴛɪᴠᴇ ᴛᴇʀᴍɪɴᴀʟ ᴏғ ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ.

ᴠᴏʟᴛᴍᴇᴛᴇʀ sʜᴏᴜʟᴅ ᴀʟᴡᴀʏs ʙᴇ ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ʀᴇsɪsᴛᴏʀ.

ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ʟᴇᴀsᴛ ᴄᴏᴜɴᴛ ᴏғ ᴠᴏʟᴛᴍᴇᴛᴇʀ ᴀɴᴅ ᴀᴍᴍᴇᴛᴇʀ ᴄᴏʀʀᴇᴄᴛʟʏ.

ᴛʜᴇ ᴘᴏɪɴᴛᴇʀs ᴏғ ᴛʜᴇ ᴀᴍᴍᴇᴛᴇʀ ᴀɴᴅ ᴠᴏʟᴛᴍᴇᴛᴇʀ sʜᴏᴜʟᴅ ʙᴇ ᴀᴛ ᴢᴇʀᴏ ᴍᴀʀᴋ ᴡʜᴇɴ ɴᴏ ᴄᴜʀʀᴇɴᴛ ғʟᴏᴡs ᴛʜʀᴏᴜɢʜ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ.

ᴄᴜʀʀᴇɴᴛ sʜᴏᴜʟᴅ ʙᴇ ᴘᴀssᴇᴅ ᴛʜʀᴏᴜɢʜ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ ғᴏʀ ᴀ sʜᴏʀᴛ ᴛɪᴍᴇ ᴡʜɪʟᴇ ᴛᴀᴋɪɴɢ ᴏʙsᴇʀᴠᴀᴛɪᴏɴs; ᴏᴛʜᴇʀᴡɪsᴇ ᴄᴜʀʀᴇɴᴛ ᴡᴏᴜʟᴅ ᴄᴀᴜsᴇ ᴜɴɴᴇᴄᴇssᴀʀʏ ʜᴇᴀᴛɪɴɢ ɪɴ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ. ʜᴇᴀᴛɪɴɢ ᴍᴀʏ ᴄʜᴀɴɢᴇ ᴛʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ʀᴇsɪsᴛᴇʀs.

Answer 2

Answer:

Hii

Jiju

HRU

Explanation:

Machines with an MA greater than 1 are said to be "force multipliers". Hammers, wheel barrows, spanners and car jacks are examples of "force multipliers levers". Axle and wheels, some gear systems and multiple pulley systems are also "force multipliers".11-Jul-2020