The Currents in an Electrical Network Are Given by the Solutions

question 227

Multiple Choice

The currents in an electrical network are given by the solutions of the system $$\left\{ \begin{aligned}I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \\4 I _ { 1 } + 5 I _ { 3 } & = 23 \\6 I _ { 2 } + I _ { 3 } & = 9\end{aligned} \right.$$ where I₁, I₂, and I₃ are measured in amperes.Solve the system of equations using matrices.

• A)I₁ = 2, I₂ = 3, I₃ = 1
• B)I₁ = 2, I₂ = 1, I₃ = 3
• C)I₁ = 4, I₂ = 4, I₃ = 9
• D)I₁ = 4, I₂ = 4, I₃ = 8
• E)no solution

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Definitions:

L-DOPA

A chemical precursor to dopamine, used as a medication to treat the symptoms of Parkinson's disease and dopamine-responsive dystonias.

Synaptic Transmitter

Chemical substances released by neurons to transmit signals across a synapse to another neuron, muscle, or gland.

Parkinson's Disease

A progressive neurological disorder characterized by motor symptoms such as tremors, stiffness, and slow movement, often linked to the depletion of dopamine.

Stimulant

A substance that raises levels of physiological or nervous activity in the body, often used to increase alertness, attention, and energy.