For a given circuit, the power consumed was measured to be at 25 W, whilst a voltmeter measured total voltage of the circuit to be 5 V. What is the equivalent resistance of the circuit?
Question
For a given circuit, the power consumed was measured to be at 25 W, whilst a voltmeter measured total voltage of the circuit to be 5 V. What is the equivalent resistance of the circuit?
Solution
To find the equivalent resistance of the circuit, we first need to find the current flowing through the circuit. We can use the formula for power, which is P = V * I, where P is power, V is voltage, and I is current.
Given: Power (P) = 25 W Voltage (V) = 5 V
We can rearrange the formula to find the current (I): I = P / V
Substituting the given values:
I = 25 W / 5 V = 5 A
Now that we have the current, we can find the resistance using Ohm's law, which states V = I * R, where V is voltage, I is current, and R is resistance.
Rearranging the formula to find R, we get R = V / I
Substituting the given values:
R = 5 V / 5 A = 1 Ω
So, the equivalent resistance of the circuit is 1 Ω.
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