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Science · 2022 · 3 marks
CBSE 2022 · Region 2 · Set 2 · Q10
In the given circuit determine the value of: (i) total resistance of the circuit (ii) current flowing through the ammeter.
In the given circuit determine the value of :
(i)
total resistance of the circuit
(ii)
current flowing through the ammeter.
Marking-scheme solution
(i)
\(\displaystyle R_{S}=R_{1}+R_{2}\)
Here \(\displaystyle \mathrm{R}_{\mathrm{S}}=10 \Omega+50 \Omega=60 \Omega\)
\[\mathrm{R}_{3}=30 \Omega
\]
\(\displaystyle \frac{1}{R_{P}}=\frac{1}{R_{S}}+\frac{1}{R_{3}}\)
\(\displaystyle \therefore \mathrm{R}=\frac{\mathrm{R}_{\mathrm{S}} \mathrm{R}_{3}}{\mathrm{R}_{\mathrm{S}}+\mathrm{R}_{3}}=\frac{60 \Omega \times 30 \Omega}{(60+30) \Omega}=20 \Omega\)
(ii)
\(\displaystyle I=\frac{V}{R}\)
\[=\frac{6 \mathrm{~V}}{20 \Omega}=0.3 \mathrm{~A}
\]
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CBSE Class 10 Science past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.