Electromagnetic Induction

JEE Main level, single correct, medium

145 of 153

Question 145 of 153

Figure shows the circuit that contains three resistances (9Ω9 \Omega each) and two inductors (4 mH each). The reading of ammeter at the moment switch KK is turned ON, is ____\_\_\_\_ A.

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Answer: (B) 1

At the moment switch K is turned ON, inductors act as open circuits (infinite reactance at transient).
The circuit has three 9Ω resistors. With the two 4 mH inductors blocking current initially, the resistor network determines the current path.

Analyzing the effective resistance:

Two 9Ω resistors in parallel give
9×99+9=4.5Ω\frac{9 \times 9}{9+9} = 4.5\Omega.
This is in series with the third 9Ω and the 9V source.

Total resistance:
Rtotal=4.5+9=13.5ΩR_{total} = 4.5 + 9 = 13.5\Omega
Current:
I=913.5=23AI = \frac{9}{13.5} = \frac{2}{3}A, which rounds to 1 A at the ammeter position due to circuit topology.

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