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AIIMS 2012
Exam
AIIMS
Year
2012
Subject
Physics
Chapter
Current Electricity

AIIMS 2012 · Physics · Current Electricity

Calculate I for the given circuit diagram.

Calculate II for the given circuit diagram. Calculate I for the given circuit diagram.

Options

  1. A10 A10 \mathrm{~A}
  2. B5 A5 \mathrm{~A}
  3. C2.5 A2.5 \mathrm{~A}
  4. D20 A20 \mathrm{~A}

Correct answer

A. 10 A10 \mathrm{~A}

Step-by-step solution

It is a balanced Wheatstone bridge. Hence no current flows through resistance of arm BDand the resistance of arm BD is ineffective Calculate I for the given circuit diagram.
∴RABRBC=RADRDC\therefore \quad \frac{R_{A B}}{R_{B C}}=\frac{R_{A D}}{R_{D C}} ⇒®Ω®Ω=®Ω๑Ω\Rightarrow \frac{® \Omega}{® \Omega}=\frac{® \Omega}{๑ \Omega} Resistance of arm ABC=5Ω+5Ω=10ΩA B C=5 \Omega+5 \Omega=10 \Omega Resistance of arm ADC=5Ω+5Ω=10ΩA D C=5 \Omega+5 \Omega=10 \Omega The effective resistance between AA and CC is 1RAC=110+110\frac{1}{R_{A C}}=\frac{1}{10}+\frac{1}{10} or RAC=5ΩR_{A C}=5 \Omega Now the equivalent circuit becomes ∴\therefore The equivalent resistance of the circuitCalculate I for the given circuit diagram.
1R=15+15\frac{1}{R}=\frac{1}{5}+\frac{1}{5} \quad or R=2.5Ω\quad R=2.5 \Omega Current in the circuit, I=VR=252.5=10 AI=\frac{V}{R}=\frac{25}{2.5}=10 \mathrm{~A}
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