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Science · 2022 · 3 marks
CBSE 2022 · Region 1 · Set 1 · Q11
(a) Three resistors R_1, R_2 and R_3 are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw…
(a)
Three resistors $\displaystyle \mathrm{R}_{1}, \mathrm{R}_{2}$ and $\displaystyle \mathrm{R}_{3}$ are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw suitable circuit diagram to show the arrangement of these circuit components along with the direction of current flowing.
(b)
Calculate the equivalent resistance of the following network :
Marking-scheme solution
(a)
Circuit diagram with given components Direction
(b) Resistance between \(\displaystyle C\) and \(\displaystyle D\) is given by
\[\begin{aligned}
& \frac{1}{R_{C D}}=\frac{1}{10}+\frac{1}{10}=\frac{2}{10}=\frac{1}{5} \\
& R_{C D}=5 \Omega
\end{aligned}
\]
\[D \text { and } B=R_{4}=5 \Omega
\]
∴ Total resistance is \(\displaystyle \mathrm{R}_{\mathrm{S}}=\mathrm{R}_{\mathrm{CD}}+\mathrm{R}_{1}+\mathrm{R}_{4}\)
\[\begin{aligned}
R_{\text {total }} & =5 \Omega+5 \Omega+5 \Omega \\
& =15 \Omega
\end{aligned}
\]
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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.