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Science · 2022 · 4 marks
CBSE 2022 · Region 3 · Set 1 · Q14
Study the following electric circuit in which the resistors are arranged in three arms A, B and C:
(a)Find the equivalent resistance of arm A.(b)Calculate the equivalent resistance of the parallel combination of the arms B and C.(c)Determine the current that flows through the ammeter.Determine the current that flows in the ammeter when the arm B is withdrawn from the circuit.
Study the following electric circuit in which the resistors are arranged in three arms A, B and C:
(a)
Find the equivalent resistance of arm A.
(b)
Calculate the equivalent resistance of the parallel combination of the arms B and C.
(c)
Determine the current that flows through the ammeter.
Determine the current that flows in the ammeter when the arm B is withdrawn from the circuit.
Marking-scheme solution
(a) \(\displaystyle \mathrm{R}_{\mathrm{S}}=\mathrm{R}_{1}+\mathrm{R}_{2}+\mathrm{R}_{3}=40 \Omega\)
(b) \(\displaystyle \frac{1}{R p}=\frac{1}{R_{B}}+\frac{1}{R_{C}}\)
\[\begin{gathered}
\frac{1}{R p}=\frac{1}{30 \Omega}+\frac{1}{60 \Omega} \\
\mathrm{R}_{\mathrm{p}}=20 \Omega
\end{gathered}
\]
(c) (i) \(\displaystyle R=R_{s}+R_{p}\)
\[=40 \Omega+20 \Omega=60 \Omega
\]
OR
(c) (ii) Resistance, \(\displaystyle R=40 \Omega+60 \Omega=100 \Omega\)
\[\therefore I=\frac{V}{R}=\frac{6 V}{100 \Omega}=0.06 \mathrm{~A}
\]
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CBSE Class 10 Science past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.