Question

series circuits - currents and voltages
fill in the boxes. some diagrams have more than one box to fill in.
1.
2.
1.5v
2.0v
1.0v
1.0v

Explanation:

Step1: Analyze Series Circuit Voltage Rule

In a series circuit, the sum of the voltages across the components equals the source voltage. For the first circuit, source voltage \( V_{source} = 1.5V \), one component has \( 1.0V \). Let the unknown voltage be \( V_x \). So \( 1.0V + V_x = 1.5V \).

Step2: Solve for Unknown Voltage (First Circuit)

Rearrange the equation: \( V_x = 1.5V - 1.0V = 0.5V \).

Step3: Analyze Second Circuit Voltage Rule

For the second circuit, source voltage \( V_{source} = 2.0V \), one component has \( 1.0V \). Let the unknown voltage be \( V_y \). So \( V_y + 1.0V = 2.0V \).

Step4: Solve for Unknown Voltage (Second Circuit)

Rearrange the equation: \( V_y = 2.0V - 1.0V = 1.0V \).

Answer:

1. The unknown voltage in the first circuit is \( 0.5V \).
2. The unknown voltage in the second circuit is \( 1.0V \).