   Chapter 18.5, Problem 18.9QQ

Chapter
Section
Textbook Problem

The switch is closed in Figure 18.20. After a long time compared with the time constant, of the circuit, what will the current be in the 2-Ω resistor? (a) 4 A (b) 3 A (c) 2 A (d) 1 A (c) More information is needed. Figure 18.20 (Quick Quiz 18.9)

To determine
The current in the 2Ω resistor after long time.

Explanation

Given Info: The switch is being closed for a long time. The value resistance of resistor is 2Ω .

Explanation:

Formula to calculate the current in the circuit is,

I=VReff

• I is the current in the circuit,
• Reff is the effective resistance of the circuit,

Formula to calculate the effective resistance of the resistors connected in series is,

Reff=R1+R2

• R1 is the resistance of the resistor 1,
• R2 is the resistance of the resistor 2,

Conclusion:

Long time after the switch is closed, capacitor acts as a big resistor and current does not flow through it. Current flows only through the outer circuit. Resistors in the outer circuit are connected in series

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