# How much power is produced if a voltage of 2 V is applied to a circuit with a resistance of 40 Omega?

$0.1$ Watts

#### Explanation:

Power $\left(P\right)$ produced in a circuit of resistance $R = 40 \setminus \Omega$ when a voltage $V = 2 V$ is applied is

$P = V I = V \left(\frac{V}{R}\right) = \setminus \frac{{V}^{2}}{R}$

$= \setminus \frac{{2}^{2}}{40}$

$= 0.1 \setminus W$

Jul 3, 2018

$0.1$ watts.

#### Explanation:

Power here is given by the equation:

$P = {V}^{2} / R$

where:

• $P$ is the power produced in watts

• $V$ is the voltage in volts

• $R$ is the resistance in ohms

So, we get:

$P = {\left(2 \setminus \text{V}\right)}^{2} / \left(40 \setminus \Omega\right)$

$= \frac{4 \setminus {\text{V}}^{2}}{40 \setminus \Omega}$

$= 0.1 \setminus \text{W}$