# A charge of #25 C# passes through a circuit every #4 s#. If the circuit can generate #25 W# of power, what is the circuit's resistance?

##### 1 Answer

Jun 26, 2018

#### Explanation:

We first find the current passing through, which is given by the equation:

where:

#I# is the current in amperes

#Q# is the charge in coulombs

#t# is the time in seconds

So, the current is:

Power is related through current and resistance by the equation:

where:

#P# is the power in watts

#I# is the current in amperes

#R# is the resistance in ohms

Rearranging for resistance, we get:

Plugging in the values, we get: