# How much power is produced if a voltage of 6 V is applied to a circuit with a resistance of 42 Omega?

Jun 22, 2018

Find the current by $I = \frac{E}{R} = \frac{6}{42} = 0.1428 \text{ amperes.}$

#### Explanation:

$\text{Power= voltage "xx" current " 6 xx 0.1428= 0.88571" watts.}$

Jun 23, 2018

Approximately $0.86$ watts.

#### Explanation:

Power is related through voltage and resistance by the equation:

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

where:

• $P$ is the power in watts

• $V$ is the voltage in volts

• $R$ is the resistance in ohms

So, we get:

$P = {\left(6 \setminus \text{V}\right)}^{2} / \left(42 \setminus \Omega\right)$

$= \frac{36 \setminus {\text{V}}^{2}}{42 \setminus \Omega}$

$\approx 0.86 \setminus \text{W}$