High School

A 6-V storage battery supplies energy to a simple circuit at a constant rate of 48 W. What is the resistance of the circuit?

Answer :

The required resistance of the circuit is 0.75 ohms. The resistance of the circuit can be determined using Ohm's Law, which states that the voltage across a circuit is equal to the product of the current flowing through it and the resistance of the circuit.

In this case, we are given that the storage battery supplies energy at a constant rate of 48 W (watts) and has a voltage of 6 V (volts).
We can use the formula for power, which is equal to the product of voltage and current:
Power = Voltage * Current
Rearranging the formula, we have:
Current = Power / Voltage
Substituting the given values:
Current = 48 W / 6 V = 8 A (amperes)

Now, we can use Ohm's Law to find the resistance. Ohm's Law states:
Voltage = Current * Resistance
Rearranging the formula, we have:
Resistance = Voltage / Current
Substituting the given values:
Resistance = 6 V / 8 A = 0.75 Ω (ohms)
Therefore, the resistance of the circuit is 0.75 ohms.

Learn more about Ohm's law;

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