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In the circuit given in tigure, 1 and 2 ...

In the circuit given in tigure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit the reading will be

A

Zero in 1, maximum in 2

B

Maximum in both 1 and 2

C

Zero in both 1 and 2

D

Maximum in 1, zero in 2

Text Solution

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The correct Answer is:
To solve the problem, let's analyze the circuit step-by-step: ### Step 1: Understand the Circuit Components - The circuit consists of two ammeters (A1 and A2), an inductor (L), a capacitor (C), and resistors (R1 and R2). - When the switch K is closed, the circuit is completed, allowing current to flow. **Hint:** Identify the components in the circuit and their arrangement (series or parallel). ### Step 2: Initial Conditions - Just after the switch K is closed, the capacitor behaves as a short circuit (providing no resistance), meaning it allows maximum current to flow through it. - The inductor, on the other hand, opposes any change in current. At the moment the switch is closed, the inductor behaves like an open circuit, meaning it initially allows no current to flow through it. **Hint:** Recall the behavior of capacitors and inductors at the moment a circuit is completed. ### Step 3: Current Through Ammeter A1 - Since the capacitor is short-circuited, all the current from the power source will flow through ammeter A1. - Therefore, the reading on ammeter A1 will be at its maximum value, which depends on the voltage of the power source and the total resistance in the circuit. **Hint:** Consider how current flows through parallel components in the circuit. ### Step 4: Current Through Ammeter A2 - Because the inductor behaves as an open circuit at the moment the switch is closed, no current will flow through ammeter A2. - Thus, the reading on ammeter A2 will be zero. **Hint:** Remember that inductors resist changes in current, leading to zero current flow initially. ### Step 5: Conclusion - The readings on the ammeters just after the switch K is pressed will be: - Ammeter A1: Maximum current (let's denote it as I_max) - Ammeter A2: 0 A Based on this analysis, the correct answer is: - Ammeter A1 shows maximum current, and ammeter A2 shows 0 A. **Final Answer:** Ammeter A1 reads maximum current, and ammeter A2 reads 0 A.
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