A 12.0 V battery is connected into a series circuit containing a 16.0 ohms resistor and a 1.90 H inductor. A) in what time interval (in s) will the current reach 50% of its value?B) in what time interval (in s) will the current reach 90% of its final value?What if? After a very long time using a switch like that shown in the figure the battery is removed and the inductor is connected directly across from the resistor. C) in what time interval (in s) will the current decrease to 50.0% of its initial value?D) in what time interval (ins) will the current decrease to 10.0% of its initial value? The diagram shown above represents an electrical circuit with the following components:1. **Switch S1**: This is the primary switch that controls the flow of current from the power source, labeled with an electromotive force (EMF) symbol \(\varepsilon\), and its positive and negative terminals.2. **Switch S2**: This is a secondary switch with two positions, denoted as \(a\) and \(b\). When connected to \(a\), the circuit forms a loop through the resistor \(R\). When switched to \(b\), the connection through \(R\) is bypassed.3. **Resistor (R)**: Represented by the zigzag symbol, the resistor is a component that limits the flow of electric current.4. **Inductor (L)**: Depicted by a coil, the inductor stores energy in a magnetic field when electric current flows through it.In this circuit, S1 controls the overall circuit activity, while S2 allows for the circuit to either include the resistor \(R\) in the loop, impacting the resistance and inductance dynamics, or to bypass it. This setup can be used to study the effects of inductance and resistance in electrical circuits.

Current through a R-L circuit at any time t is given by: i(t)=i0[1-e-RLt] where,…

Answered: A 12.0 V battery is connected into a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 12.0 V battery is connected into a series circuit containing a 16.0 ohms resistor and a 1.90 H inductor. A) in what time interval (in s) will the current reach 50% of its value? B) in what time interval (in s) will the current reach 90% of its final value? What if? After a very long time using a switch like that shown in the figure the battery is removed and the inductor is connected directly across from the resistor. C) in what time interval (in s) will the current decrease to 50.0% of its initial value? D) in what time interval (ins) will the current decrease to 10.0% of its initial value?

The diagram shown above represents an electrical circuit with the following components:

1. **Switch S1**: This is the primary switch that controls the flow of current from the power source, labeled with an electromotive force (EMF) symbol \(\varepsilon\), and its positive and negative terminals.

2. **Switch S2**: This is a secondary switch with two positions, denoted as \(a\) and \(b\). When connected to \(a\), the circuit forms a loop through the resistor \(R\). When switched to \(b\), the connection through \(R\) is bypassed.

3. **Resistor (R)**: Represented by the zigzag symbol, the resistor is a component that limits the flow of electric current.

4. **Inductor (L)**: Depicted by a coil, the inductor stores energy in a magnetic field when electric current flows through it.

In this circuit, S1 controls the overall circuit activity, while S2 allows for the circuit to either include the resistor \(R\) in the loop, impacting the resistance and inductance dynamics, or to bypass it. This setup can be used to study the effects of inductance and resistance in electrical circuits.

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