[tex]\huge{\boxed{\mathcal{♔︎Answer♔︎}}}[/tex]
200Ω
Explanation:
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⠀⠀⠀⠀❖ Note
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What is resistance?
Resistance is the opposition offered by the electric current.
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What is electric current?
An electric current is the stream of flowing charge moving around a circuit.
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⠀⠀⠀⠀■ Solution
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[tex] \textsf{ As here, we can see in the above diagram} \\ \\ \sf R_1 \: and \: R_2 \: both \: are \: in \: series. \\ \\ \textsf{ So their total resistance will be} \: R_s[/tex]
So for formula for series will be
[tex] \sf R_s = R_1 + R_2 \\ \\ \sf R_s = 100 + 200 \\ \\ \boxed {R_s = 300Ω}[/tex]
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[tex] \sf As \: you \: can \: also \: see \: here , \\ \\ \sf R_s \: is parallel \: with \: R_3 \\ \\ \sf So \: their \: total \: resistance \: R \: will \: be[/tex]
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[tex] \sf \frac{1}{R } = \frac{1}{R_3} + \frac{1}{R_s } \\ \\ \sf \frac{1}{R} = \frac{1}{600} + \frac{1}{300} \\ \\ \sf \frac{1}{R} = \frac{1 + 2}{600} \\ \\ \sf \frac{1}{R} = \frac{ \cancel3}{ \cancel{600} \: \: \small{200}} \\ \\ \sf \frac{1}{R} = \frac{1}{200} \\ \\ \boxed{ \tt{R = 200Ω}} [/tex]
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So the total resistance will be 200Ω.
