(Please answer to the fourth decimal place - i.e 14.3225) **RL Circuit Analysis and Energy Calculation in an Inductor**### Problem StatementConsider the RL circuit shown below. - All resistors (R1, R2, and R3) have a resistance of 6 kΩ.- The inductor (L1) has an inductance of 5 mH.- The battery (V1) has a voltage of 46 V.The switch (S1) has been in the right position for a long time. At time \( t = 0 \), the switch is flipped to the left position.Calculate the energy stored in the inductor at \( t = 1.6 \ \mu s \) in units of picojoules (pJ). (1 pJ \( = 10^{-12} \) Joules)### Circuit Diagram Explanation- **Resistive Network**: - The circuit consists of three resistors, R1, R2, and R3, each with a resistance of 6 kΩ.- **Inductor and Switch**: - An inductor, L1 with an inductance of 5 mH, is connected in series with a switch (S1).- **Voltage Source**: - The voltage source V1 supplies a constant voltage of 46 V.**Initial Condition**:- Initially, the switch S1 is in the right position, allowing the circuit involving R3 and the voltage source V1 to be active for a long duration, thus establishing a steady-state.**At \( t = 0 \)**:- The switch is flipped to the left position, involving the resistors R1, R2, and the inductor L1 in the circuit.### TaskCalculate the energy stored in the inductor at \( t = 1.6 \ \mu s \).### Relevant Equations1. **Energy Stored in the Inductor**:\[ E = \frac{1}{2} L I^2 \]where \( I \) is the current through the inductor at time \( t \).2. **Current through the Inductor in an RL Circuit**:\[ I(t) = I_0 e^{-\frac{R}{L} t} \]where: - \( I_0 \) is the initial current through the inductor. - \( R \) is the equivalent resistance in the circuit. - \( L \) is

When the Resistance and Inductor are connected together in a circuit, the circuit is called the R-L…

Consider the RL circuit below. All the resistors have size 6 k 2, the inductor has size 5 mH, and the battery has size 46 V. The switch has been in the right position for a long time. Att = 0, it is flipped into the left position. Calculate the energy stored in the inductor at t = 1.6 us, in units of pJ. (1 pJ = 1012 J) R3 S1 R1 R2 L1 V1+

Consider the RL circuit below. All the resistors have size 6 k 2, the inductor has size 5 mH, and the battery has size 46 V. The switch has been in the right position for a long time. Att = 0, it is flipped into the left position. Calculate the energy stored in the inductor at t = 1.6 us, in units of pJ. (1 pJ = 1012 J) R3 S1 R1 R2 L1 V1+

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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