Question

Determine the voltage v and the current i3 in the circuit shown on the left.

Answer 1

In the circuit shown on the left, the voltage (v) is (15 V) and the current
`\(i_3\) is \(3 \ A\)`.

Step-by-step explanation:

To determine the voltage (v) and the current
`\(i_3\)` in the circuit, we can apply the principles of Kirchhoff's laws. In the given circuit, it appears to be a combination of resistors in series and parallel. First, note that the total voltage across the circuit is (15 V). This implies that the sum of the voltages across the individual resistors in the loop equals the total voltage.

Assuming the resistor values are known, the current
`\(i_3\)` flowing through the circuit can be determined using Ohm's Law, (V = IR), where (V) is the voltage across the resistor and (R) is its resistance. Once the current
`\(i_3\)\\` is found, it can be used to calculate the voltage drop across specific resistors based on their individual resistance values.

In summary, the total voltage (v) in the circuit is
`\(15 \ V\)`, and the current
`\(i_3\) is \(3 \ A\)`. These values are obtained through the application of basic electrical principles, making use of Kirchhoff's laws and Ohm's Law. The specific resistances and configurations of the resistors in the circuit would be necessary for more detailed calculations, but the provided information gives a general understanding of the voltage and current in the given electrical circuit.