Solved

In the Circuit Shown Below, Let Draw the Circuit in the S-Domain and Find

question 13

Essay

In the circuit shown below, let $\mathrm { R } _ { 1 } = 1 \Omega , \mathrm { R } _ { 2 } = 4 \Omega , \mathrm { C } = 0.5 \mathrm {~F} , \mathrm {~L} = 1 \mathrm { H } , \mathrm { v } \left( 0 ^ { - } \right) = 3 \mathrm {~V} , \mathrm { i } \left( 0 ^ { - } \right) = 1 \mathrm {~A} , \mathrm { v } _ { \mathrm { s } } ( \mathrm { t } ) = 4 \mathrm { u } ( \mathrm { t } )$
Draw the circuit in the s-domain and find $V ( s )$ and $v ( t )$ for $t \geq 0$ . $In the circuit shown below, let \mathrm { R } _ { 1 } = 1 \Omega , \mathrm { R } _ { 2 } = 4 \Omega , \mathrm { C } = 0.5 \mathrm {~F} , \mathrm {~L} = 1 \mathrm { H } , \mathrm { v } \left( 0 ^ { - } \right) = 3 \mathrm {~V} , \mathrm { i } \left( 0 ^ { - } \right) = 1 \mathrm {~A} , \mathrm { v } _ { \mathrm { s } } ( \mathrm { t } ) = 4 \mathrm { u } ( \mathrm { t } ) Draw the circuit in the s-domain and find V ( s ) and v ( t ) for t \geq 0 .$

Definitions:

Post Hoc, Ergo Propter Hoc

Literally, “after this (in time), therefore because of this.” A common error made in thinking about causation: If Event A happens before Event B, it is not necessarily true that A caused B.

Fallacy

A flawed argument that uses poor reasoning or misrepresents evidence, often leading to incorrect conclusions.

Inductive Reasoning

A reasoning method that involves generalizing from a set of specific observations to reach a broader conclusion.

Rent Control Laws

Regulations that limit the amount landlords can charge for leasing property to ensure affordable housing for tenants.