# A charge of #24 C# passes through a circuit every #9 s#. If the circuit can generate #6 W# of power, what is the circuit's resistance?

##### 2 Answers

Resistance is defined as the ability of the conductor to obstruct the flow of electric current through it. Resistance is basically defined by **Ohm's Law** as:-

#### Explanation:

In the given question, we have:-

Charge =

Time =

Rate of flow of current thorugh a cross-section of a conductor is givem by the following relation:-

Q = Given charge

I = Current that flows

t = time (in second)

So, putting above stated values in this relation, we get:-

or

Power is defined as the ability to do work. Power is given by the formula:-

P = Power in watt

V = Potential difference across the circuit

I = Current through the circuit

Putting values in the relation, we get:-

or

As stated above, the expression for **Ohm's Law** gives **resistance** as:-

Hence, using the values obtained for **V and I** , we get:-

or

Hence, the resistance of the circuit is

The answer is

#### Explanation:

We apply the equation

The charge is

The time is

The current is

The power

But according to Ohm's Law

So,

So,

the resistance is