Question

which quantities are equal to sum of the individual values within a circuit?
the current in a parallel circuit and the voltage in a series circuit
the resistance in a parallel circuit and the current in a series circuit
the resistance in a parallel circuit and the voltage in a series circuit
the voltage in a parallel circuit and the resistance in a series circuit

Explanation:

To solve this, we recall circuit rules:

• Current in series: Same through all components (not summed).
• Current in parallel: Sum of currents in each branch ( \( I_{\text{total}} = I_1 + I_2 + \dots \) ).
• Voltage in series: Sum of voltages across components ( \( V_{\text{total}} = V_1 + V_2 + \dots \) ).
• Voltage in parallel: Same across all components (not summed).
• Resistance in series: Sum of resistances ( \( R_{\text{total}} = R_1 + R_2 + \dots \) ).
• Resistance in parallel: Reciprocal sum ( \( \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots \) ), not simple sum.

Now analyze options:

• Option 1: Current in parallel (summed) and voltage in series (summed) → matches.
• Option 2: Resistance in parallel (not summed) and current in series (not summed) → no.
• Option 3: Resistance in parallel (not summed) and voltage in series (summed) → no.
• Option 4: Voltage in parallel (not summed) and resistance in series (summed) → no.

Answer:

the current in a parallel circuit and the voltage in a series circuit