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Question 38

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

38

At the exact moment the switch K is turned ON ($$t = 0$$), the inductors oppose any sudden change in current. Therefore, they act as open circuits.

Because the left and right parallel branches both contain inductors, no current will flow through them initially. The entire current will flow only through the middle branch, which contains a pure resistor.

 Supply Voltage, $$V = 9\text{ V}$$

Effective Resistance, $$R = 9\ \Omega$$ (only the middle branch is active)

According to Ohm's Law, the reading of the ammeter (initial current $$I$$) is:

$$ I = \frac{V}{R} $$

$$ I = \frac{9}{9} $$

$$ I = 1\text{ A} $$

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