Final answer:
Using Ohm's law (V=IR), we calculate the voltage dropped by each resistor based on the current flowing through it and its resistance. V3 and V4 represent the voltage drops across the third and fourth resistors, being 6 V and 4 V, respectively. The total voltage drop should equal the battery's output, and power dissipated is the product of voltage and current for each resistor.
Step-by-step explanation:
To calculate the voltage dropped by each resistor in a circuit, we use Ohm's law, which states that the voltage drop V across a resistor is equal to the product of the current I flowing through it and the resistance R of the resistor. Thus, the formula to calculate this is V = IR.
Given that we have two resistors with known voltage drops V3 and V4, where V3 = 6 V and V4 = 4 V, these values are determined by the current flowing through each resistor and their respective resistances. For example, if R3 is the resistance through which V3 is dropped, and I3 is the current passing through it, then using Ohm's law, it can be said that 6 V = I3 * R3. Similarly, V4 = I4 * R4 explains the voltage drop across the fourth resistor, where I4 is the current through R4 and 4 V is the voltage drop.
The power dissipated by the resistors can be calculated by multiplying the voltage drop across each resistor by the current flowing through it. It is important to check the sum of the voltage drops across all resistors to ensure it equals the voltage output of the battery or source.