A battery is connected in series with a 0.33-Ω resistor and an inductor, as shown in the figure below. The switch is closed at \( t = 0 \). The time constant of the circuit is 0.18 s, and the maximum current in the circuit is 7.6 A.**Diagram Description:**The diagram shows an electrical circuit consisting of a battery with electromotive force (emf) \( \varepsilon \), a switch \( S \), a resistor \( R \), and an inductor \( L \) connected in series.### Tasks:(a) Find the emf of the battery.\[ \text{_______ V} \](b) Find the inductance of the circuit.\[ \text{_______ mH} \](c) Find the current in the circuit after one time constant has elapsed. (Round your answer to four decimal places.)\[ \text{_______ A} \](d) Find the voltage across the resistor after one time constant has elapsed. (Round your answer to four decimal places.)\[ \text{_______ V} \](e) Find the voltage across the inductor after one time constant has elapsed.\[ \text{_______ V} \]

Solution: Given Values, Resistor (R)=0.33 ΩTime constant (Γ)=0.18 sMaximum current (I)=7.6 A

A battery is connected in series with a 0.33-N resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is 0.18 s, and the maximum current in the circuit is 7.6 A. S (a) Find the emf of the battery. (b) Find the inductance of the circuit. mH (c) Find the current in the circuit after one time constant has elapsed. (Round your answer to four decimal places.) A (d) Find the voltage across the resistor after one time constant has elapsed. (Round your answer to four decimal places.) V (e) Find the voltage across the inductor after one time constant has elapsed. V

A battery is connected in series with a 0.33-N resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is 0.18 s, and the maximum current in the circuit is 7.6 A. S (a) Find the emf of the battery. (b) Find the inductance of the circuit. mH (c) Find the current in the circuit after one time constant has elapsed. (Round your answer to four decimal places.) A (d) Find the voltage across the resistor after one time constant has elapsed. (Round your answer to four decimal places.) V (e) Find the voltage across the inductor after one time constant has elapsed. V

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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Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

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A battery is connected in series with a 0.33-Ω resistor and an inductor, as shown in the figure below. The switch is closed at \( t = 0 \). The time constant of the circuit is 0.18 s, and the maximum current in the circuit is 7.6 A.

**Diagram Description:**
The diagram shows an electrical circuit consisting of a battery with electromotive force (emf) \( \varepsilon \), a switch \( S \), a resistor \( R \), and an inductor \( L \) connected in series.

### Tasks:

(a) Find the emf of the battery.

\[ \text{_______ V} \]

(b) Find the inductance of the circuit.

\[ \text{_______ mH} \]

(c) Find the current in the circuit after one time constant has elapsed. (Round your answer to four decimal places.)

\[ \text{_______ A} \]

(d) Find the voltage across the resistor after one time constant has elapsed. (Round your answer to four decimal places.)

\[ \text{_______ V} \]

(e) Find the voltage across the inductor after one time constant has elapsed.

\[ \text{_______ V} \]

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