Current Electricity

JEE Main level, single correct, medium

106 of 380

Question 106 of 380

In the given figure R1=10Ω,R2=8Ω,R3=4Ω\mathrm{R}_1=10 \Omega, \mathrm{R}_2=8 \Omega, \mathrm{R}_3=4 \Omega and R4=8Ω\mathrm{R}_4=8 \Omega. Battery is ideal with emf 12 V12 \mathrm{~V}. Equivalent resistant of the circuit and current supplied by battery are respectively :

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Answer: (B) 12Ω12 \Omega and 1 A1 \mathrm{~A}

Here R2,R3,R4\mathrm{R}_2, \mathrm{R}_3, \mathrm{R}_4 are in parallel
$\begin{aligned}

& \frac{1}{\mathrm{R}_{234}}=\frac{1}{\mathrm{R}_2}+\frac{1}{\mathrm{R}_3}+\frac{1}{\mathrm{R}_4} \\

& \mathrm{R}_{234}=2 \Omega

\end{aligned}$

R234R_{234} is in series with R1R_1 so
$\begin{aligned}

& \mathrm{R}_{\mathrm{eq}}=\mathrm{R}_{234}+\mathrm{R}_1=2+10=12 \Omega \\

& \mathrm{i}=\frac{12}{12}=1 \mathrm{Amp}

\end{aligned}$

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