Final answer:
Ohm's law, which is V = IR, is used to determine the new voltage across a resistor. With a current of 6 amperes and a resistance of 7 ohms, the resulting voltage is found to be 42 volts.
Step-by-step explanation:
The voltage across a resistor is dictated by Ohm's law, which states that the voltage (V) is the product of the current (I) flowing through the resistor and the resistance (R) of the resistor, described by the equation V = IR. In this scenario, we have a case where the current and resistance values are changing, and the aim is to determine the new voltage across the resistor.
Given that when a resistor has 4 ohms of resistance and a current of S amperes flows through it, the voltage across it is 32 volts, we can apply this information to find the voltage when the resistance is now 7 ohms and the current is 6 amperes. The new voltage across the resistor can be calculated by:
Vnew = Inew × Rnew = 6 A × 7 Ω = 42 volts.
This clearly shows how changes in current and resistance affect the voltage across a resistor.