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Find the current across the resistor 5 S2 while the switch S is open for a long time. A) (A) B) (A) C) 2 (A) 3 V 192 ΖΩΣ D) (A) 26 3223 5 V E) (A) 32 4 V 582

Find the current across the resistor 5 S2 while the switch S is open for a long time. A) (A) B) (A) C) 2 (A) 3 V 192 ΖΩΣ D) (A) 26 3223 5 V E) (A) 32 4 V 582

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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CURRENT THROUGH 5 OHMS( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

### Problem Statement: **Find the current across the 5 Ω resistor while the switch \( S \) is open for a long time.** ### Circuit Description: The circuit diagram consists of the following components: - A 3 V battery connected in series with a 1 Ω resistor, followed by a parallel combination. - In the parallel branch: - One branch has a 2 Ω resistor and an inductor \( L \). - The other branch has a 3 Ω resistor in series with a capacitor \( C \). - These branches then connect to a switch \( S \) which is open. - Additionally, there is a secondary branch connected to the initial setup which contains: - A 5 Ω resistor, connected in series with a 4 V battery, parallel to the initial branch. - This secondary branch has another 5 Ω resistor. ### Graphical Representation: The circuit diagram incorporates a series-parallel configuration of resistors, an inductor, and a capacitor, along with a switch that remains open for a prolonged duration. ``` 1 Ω 3 V ────/\/\/\/──┬─────────┬────────┬──── 5V │ │ │ 2 Ω 3 Ω ----- /\/\/\ /\/\/\/ ∣ ∣ L C ∣ 5 Ω ∣ │ ----- │ │ └─────────┬────────┬──│───── 4V │ │ \ 5Ω / /\/\ \ │ ``` ### Answer Options: A) \(\frac{21}{14}\) (A) B) \(\frac{21}{17}\) (A) C) \(\frac{21}{20}\) (A) D) \(\frac{21}{26}\) (A) E) \(\frac{21}{32}\) (A) ### Explanation: - Analyze the circuit considering the long duration for which the switch \( S \) is open. - Under this condition, the capacitor will be fully charged and the inductor will behave as a short circuit. - Calculate the current through each branch using Kirchhoff’s Voltage Law (KVL) and Ohm's Law. This is the basic description to help understand the problem statement, the provided circuit
Transcribed Image Text:### Problem Statement: **Find the current across the 5 Ω resistor while the switch \( S \) is open for a long time.** ### Circuit Description: The circuit diagram consists of the following components: - A 3 V battery connected in series with a 1 Ω resistor, followed by a parallel combination. - In the parallel branch: - One branch has a 2 Ω resistor and an inductor \( L \). - The other branch has a 3 Ω resistor in series with a capacitor \( C \). - These branches then connect to a switch \( S \) which is open. - Additionally, there is a secondary branch connected to the initial setup which contains: - A 5 Ω resistor, connected in series with a 4 V battery, parallel to the initial branch. - This secondary branch has another 5 Ω resistor. ### Graphical Representation: The circuit diagram incorporates a series-parallel configuration of resistors, an inductor, and a capacitor, along with a switch that remains open for a prolonged duration. ``` 1 Ω 3 V ────/\/\/\/──┬─────────┬────────┬──── 5V │ │ │ 2 Ω 3 Ω ----- /\/\/\ /\/\/\/ ∣ ∣ L C ∣ 5 Ω ∣ │ ----- │ │ └─────────┬────────┬──│───── 4V │ │ \ 5Ω / /\/\ \ │ ``` ### Answer Options: A) \(\frac{21}{14}\) (A) B) \(\frac{21}{17}\) (A) C) \(\frac{21}{20}\) (A) D) \(\frac{21}{26}\) (A) E) \(\frac{21}{32}\) (A) ### Explanation: - Analyze the circuit considering the long duration for which the switch \( S \) is open. - Under this condition, the capacitor will be fully charged and the inductor will behave as a short circuit. - Calculate the current through each branch using Kirchhoff’s Voltage Law (KVL) and Ohm's Law. This is the basic description to help understand the problem statement, the provided circuit
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