Final answer:
In the given series circuit, resistances are added to get the total resistance, then Ohm's Law is applied to find the total current, and finally, the total power dissipation is calculated using the power formula.
Step-by-step explanation:
The subject of the question pertains to calculating the total resistance in a series circuit and ohmic power dissipation. When resistors are connected in series, their total resistance (Rtotal) is the sum of all individual resistances. In the presented circuit, the resistors of 10Ω, 60Ω, 50Ω, and 30Ω add up to a total of 150Ω. The total voltage provided by the battery is given as 75 V. To find the total current (I), Ohm's Law is used: I = V / Rtotal. The power dissipation (P) across the whole circuit is then calculated using the formula P = I2 Rtotal, where I is the total current through the series circuit.