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The Switch in the Circuit Shown Below Has Been Closed =0= 0

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the switch in the circuit shown below has been closed for a long time before it is opened at t =0= 0 . Find the voltage v(t)\mathrm { v } ( \mathrm { t } ) across the capacitor for t0\mathrm { t } \geq 0 . Assume R1=2kΩ,R2=3kΩ,R3=1\mathrm { R } _ { 1 } = 2 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 1 kΩ,L=125mH,C=0.05μF,Vs=5 V\mathrm { k } \Omega , \mathrm { L } = 125 \mathrm { mH } , \mathrm { C } = 0.05 \mu \mathrm { F } , \mathrm { V } _ { \mathrm { s } } = 5 \mathrm {~V} .
 the switch in the circuit shown below has been closed for a long time before it is opened at t  = 0 . Find the voltage  \mathrm { v } ( \mathrm { t } )  across the capacitor for  \mathrm { t } \geq 0 . Assume  \mathrm { R } _ { 1 } = 2 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 1   \mathrm { k } \Omega , \mathrm { L } = 125 \mathrm { mH } , \mathrm { C } = 0.05 \mu \mathrm { F } , \mathrm { V } _ { \mathrm { s } } = 5 \mathrm {~V} .


Definitions:

M1

A category of the money supply that includes all physical money, such as coins and currency, as well as demand deposits, checking accounts, and negotiable order of withdrawal (NOW) accounts.

M2

A measure of the money supply that includes cash and checking deposits (M1) as well as near money, such as savings deposits, money market securities, and time deposits.

Federal Reserve

The central banking system of the United States, responsible for nation's monetary policy, financial regulation, and stability of the financial system.

Board of Governors

The Board of Governors is the leading body of a central bank in many countries, responsible for overseeing the bank's operations and policies.

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