Final answer:
The correct relation when three resistors are connected in series with a battery is that the total voltage supplied by the battery is equal to the sum of individual voltage drops across each resistor. Option B is correct.
Step-by-step explanation:
When three resistors are connected in series with a battery of voltage V and the voltage drop across the resistors is V1, V2 and V3, the correct relation is V = V1 + V2 + V3. This is because when resistors are connected in series, the total voltage across the resistors is equal to the sum of the individual voltage drops.
This follows from the principle of conservation of energy, where the voltage (energy per unit charge) supplied by the battery must be equal to the total of the voltage drops across each component of the circuit.
When three resistors are connected in series with a battery of voltage V and voltage drop across resistors is V₁, V₂, and V₃, the correct relation is (b) V = V₁ + V₂ + V₃. In a series circuit, the voltage across each resistor is additive, meaning the total voltage across the resistors is equal to the sum of the voltages across each resistor.