Math, asked by Smeiti37899, 4 months ago

Solve the attached pic plzzz​

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Answers

Answered by SweetCharm
4

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GIVEN :-

A ᴡɪʀᴇ ᴏғ ʀᴇsɪsᴛᴀɴᴄᴇ R ɪs ʙᴇɴᴛ ɪɴ ғᴏʀᴍ ᴏғ ᴀ ᴄʟᴏsᴇᴅ ᴄɪʀᴄʟᴇ .

TO FIND :-

Tʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴀᴄʀᴏss ᴀ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ .

SOLUTION :-

➪ sᴇᴇ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ғɪɢᴜʀᴇ .

✯ As ᴡᴇ ᴄᴀɴ sᴇᴇ ᴛʜᴀᴛ ᴛʜᴇ ᴘᴏɪɴᴛ A ᴀɴᴅ B ᴅɪᴠɪᴅᴇs ᴛʜᴇ ᴄɪʀᴄʟᴇ ɪɴ ᴛᴡᴏ ᴇǫᴜᴀʟ ᴘᴀʀᴛs .

✯ Hᴇɴᴄᴇ, ɪғ ᴡᴇ ғʟᴏᴡ ᴀ ᴄᴜʀʀᴇɴᴛ ғʀᴏᴍ ᴘᴏɪɴᴛ A ᴛᴏ B ɪᴛ ᴡɪʟʟ ᴘᴀssᴇs ғʀᴏᴍ AOB ᴀɴᴅ ACB, ᴡʜᴇʀᴇ O ᴀɴᴅ B ᴀʀᴇ ᴘᴏɪɴᴛs ᴏɴ ᴛᴡᴏ ᴀʀᴄs, ᴛʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ᴄᴏɴɴᴇᴄᴛɪᴏɴ ᴡɪʟʟ ʟᴏᴏᴋ ʟɪᴋᴇ ᴛʜɪs, ɪ.ᴇ. Pᴀʀᴀʟʟᴇʟ-ᴄᴏɴɴᴇᴄᴛɪᴏɴ .

✯ Hᴇɴᴄᴇ, ᴇғғᴇᴄᴛɪᴠᴇ ᴏʀ ɴᴇᴛ ʀᴇsɪsᴛᴀɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴀɴʏ ᴘᴏɪɴᴛ ᴡɪʟʟ ʙᴇ,

\huge\red\star\bf\green{\dfrac{1}{R_{eq}}\:=\:\dfrac{1}{R_1}\:+\:\dfrac{1}{R_2}\:}

\rm{:\implies\:\dfrac{1}{R_{eq}}\:=\:\dfrac{1}{R/2}\:+\:\dfrac{1}{R/2}\:}

\rm{:\implies\:\dfrac{1}{R_{eq}}\:=\:\dfrac{2}{R}\:+\:\dfrac{2}{R}\:}

\rm{:\implies\:\dfrac{1}{R_{eq}}\:=\:2\times{\dfrac{2}{R}}\:}

\rm{:\implies\:\dfrac{1}{R_{eq}}\:=\:\dfrac{4}{R}\:}

\bf\purple{:\implies\:R_{eq}\:=\:\dfrac{R}{4}\:\Omega\:}

\huge\red\therefore Tʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴀᴄʀᴏss ᴀ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ ɪs \bf\pink{\dfrac{R}{4}\:\Omega\:} .

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Answered by Yadavsurendra350
1

Answer:

thanks for free points

Step-by-step explanation:

merry Christmas day

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