Question

A current of $5.0A$ flows through an electric press of resistance $44\Omega$. Calculate the energy consumed by the press in $5minutes$.

Answer 1

Step 1: Given data and formula used

Given data:

1. Current flowing is $I=5.0A$
2. Resistance is $R=44\Omega$
3. Time for which current flows is $t=5minutes=5\times 60s=300s$

Formula:

Electric power $\left(P\right)$ of the press is

$P=I^{2}R........\left(1\right)$

The energy consumed $\left(E\right)$ by the press is given by $E=P\times t........\left(2\right)$

Step 2: Finding the power

Substitute the values of current and resistance into the equation $\left(1\right)$ to calculate power.

$$\begin{gathered} P={\left(5.0A\right)}^2\left(44\Omega \right) \\ P=25\times 44 \\ P=1100W \end{gathered}$$

Step 3: Energy consumed by the press

Substitute the values of power and time into the equation to calculate the energy consumed.

$$\begin{gathered} E=1100W\times 300s \\ E=330000Ws\left(1J=1Ws\right) \\ E=330kJ\left(1kJ=1000J\right) \end{gathered}$$

Thus, the energy consumed by the press in $5minutes$ is $330kJ$.